Exam 9: The Normal Distribution

When considering area under the standard normal curve, decide whether the area to the right of $z=2$ is bigger than, smaller than, or equal to the area to the right of $\mathrm{z}=2.5$ .

(Multiple Choice)

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Question 41

Find $z$ if the normal curve area to the left of $z$ is 0.3015.

(Short Answer)

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Question 42

The probability is 0.26 that a cloud seeded with silver iodide will fail to show spectacular growth. Use the normal approximation to the binomial distribution to find the probability that among 50 clouds seeded with silver iodide only 13 will fail to show spectacular growth. Round answer to the nearest hundredth.

(Short Answer)

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Question 43

Find the indicated normal-curve area using the normal table. -Between $\mathrm{z}=1.23$ and $\mathrm{z}=2.34$

(Short Answer)

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Question 44

If the area to the left of $z$ is 0.20 , then $z=$ _______.

(Short Answer)

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Question 45

Which of the following is always true for a normal distribution?

(Multiple Choice)

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Question 46

Find $z$ if the normal curve area to the left of $z$ is 0.8962 .

(Short Answer)

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Question 47

The number of ounces of soda that a vending machine dispenses per cup is normally distributed with a mean of 12 ounces and a standard deviation of 4 ounces. -Find the number of ounces above which $80 \%$ of the dispensed sodas will fall. Round to the nearest tenth.

(Short Answer)

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Question 48

If $P(2<x<5) \neq P(2 \leq x \leq 5)$ then $x$ must be a discrete random variable.

(True/False)

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Question 49

Find the indicated normal-curve area using the normal table. -Between $z=-1.3$ and $z=1$ .

(Short Answer)

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Question 50

If a random variable has the normal distribution with $\mu=30$ and $\sigma=5$ , find the probability that it will take on the indicated value. -Less than 32

(Short Answer)

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Question 51

A salesperson knows that $20 \%$ of her presentations result in sales. Find the probabilities that in the next 60 presentations} -between 14 and 18, inclusive, result in sales.

(Short Answer)

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Question 52

To determine the probability of obtaining exactly 20 successes in 50 trials with $p=0.30$ , we should use

(Multiple Choice)

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Question 53

The waiting time in a doctor's office has an exponential distribution with $\mu=45$ minutes. Find the probability that -a patient has to wait between 0 and 30 minutes.

(Short Answer)

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Question 54

The graph shows the distribution of a continuous random variable that takes on values on the continuous interval from -2 to 2 . Find the probability that this random variable will take on the value indicated. -Between -2 and -1

(Short Answer)

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Question 55

An electronics firm believes that $70 \%$ of the new products they market will be successful. If the company markets 80 products in the next 5 years, find the probability that in that time -at least 60 products will be successful.

(Short Answer)

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Question 56

A supermarket manager has determined that the amount of time customers spend in the supermarket is approximately normally distributed with a mean of 45 minutes and a standard deviation of 6 minutes. -Find the number of minutes, $m$ , for which the probability that a customer spends less than minutes in the supermarket is 0.10 . Round your answer to the nearest tenth.

(Short Answer)

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Question 57

When considering area under the standard normal curve, decide whether the area to the left of $z=-2.5$ is bigger than, smaller than, or equal to the area to the right of $z=2$ .

(Multiple Choice)

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Question 58

Find the indicated normal-curve area using the normal table. -Between $z=-1.48$ and $z=0$

(Short Answer)

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Question 59

A supermarket manager has determined that the amount of time customers spend in the supermarket is approximately normally distributed with a mean of 45 minutes and a standard deviation of 6 minutes. -Find the probability that a customer spends between 39 and 43 minutes in the supermarket.

(Short Answer)

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Question 60

Showing 41 - 60 of 89

When considering area under the standard normal curve, decide whether the area to the right of $z=2$ is bigger than, smaller than, or equal to the area to the right of $\mathrm{z}=2.5$ .

Find $z$ if the normal curve area to the left of $z$ is 0.3015.

Find the indicated normal-curve area using the normal table. -Between $\mathrm{z}=1.23$ and $\mathrm{z}=2.34$

If the area to the left of $z$ is 0.20 , then $z=$ _______.

Which of the following is always true for a normal distribution?

Find $z$ if the normal curve area to the left of $z$ is 0.8962 .

The number of ounces of soda that a vending machine dispenses per cup is normally distributed with a mean of 12 ounces and a standard deviation of 4 ounces. -Find the number of ounces above which $80 \%$ of the dispensed sodas will fall. Round to the nearest tenth.

If $P(2<x<5) \neq P(2 \leq x \leq 5)$ then $x$ must be a discrete random variable.

Find the indicated normal-curve area using the normal table. -Between $z=-1.3$ and $z=1$ .

If a random variable has the normal distribution with $\mu=30$ and $\sigma=5$ , find the probability that it will take on the indicated value. -Less than 32

A salesperson knows that $20 \%$ of her presentations result in sales. Find the probabilities that in the next 60 presentations} -between 14 and 18, inclusive, result in sales.

To determine the probability of obtaining exactly 20 successes in 50 trials with $p=0.30$ , we should use

The waiting time in a doctor's office has an exponential distribution with $\mu=45$ minutes. Find the probability that -a patient has to wait between 0 and 30 minutes.

The graph shows the distribution of a continuous random variable that takes on values on the continuous interval from -2 to 2 . Find the probability that this random variable will take on the value indicated. -Between -2 and -1

An electronics firm believes that $70 \%$ of the new products they market will be successful. If the company markets 80 products in the next 5 years, find the probability that in that time -at least 60 products will be successful.

When considering area under the standard normal curve, decide whether the area to the left of $z=-2.5$ is bigger than, smaller than, or equal to the area to the right of $z=2$ .

Find the indicated normal-curve area using the normal table. -Between $z=-1.48$ and $z=0$

A supermarket manager has determined that the amount of time customers spend in the supermarket is approximately normally distributed with a mean of 45 minutes and a standard deviation of 6 minutes. -Find the probability that a customer spends between 39 and 43 minutes in the supermarket.

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

Probability Distributions

Sampling and Sampling Distributions

Problems of Estimation

Tests of Hypotheses: Means

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Analysis of Variance

Regression

Correlation

Nonparametric Tests

Filters

Exam 9: The Normal Distribution

When considering area under the standard normal curve, decide whether the area to the right of z=2z=2z=2 is bigger than, smaller than, or equal to the area to the right of z=2.5\mathrm{z}=2.5z=2.5 .

Find zzz if the normal curve area to the left of zzz is 0.3015.

Find the indicated normal-curve area using the normal table. -Between z=1.23\mathrm{z}=1.23z=1.23 and z=2.34\mathrm{z}=2.34z=2.34

If the area to the left of zzz is 0.20 , then z=z=z= _______.

Which of the following is always true for a normal distribution?

Find zzz if the normal curve area to the left of zzz is 0.8962 .

The number of ounces of soda that a vending machine dispenses per cup is normally distributed with a mean of 12 ounces and a standard deviation of 4 ounces. -Find the number of ounces above which 80%80 \%80% of the dispensed sodas will fall. Round to the nearest tenth.

If P(2<x<5)≠P(2≤x≤5)P(2<x<5) \neq P(2 \leq x \leq 5)P(2<x<5)=P(2≤x≤5) then xxx must be a discrete random variable.

Find the indicated normal-curve area using the normal table. -Between z=−1.3z=-1.3z=−1.3 and z=1z=1z=1 .

If a random variable has the normal distribution with μ=30\mu=30μ=30 and σ=5\sigma=5σ=5 , find the probability that it will take on the indicated value. -Less than 32

A salesperson knows that 20%20 \%20% of her presentations result in sales. Find the probabilities that in the next 60 presentations} -between 14 and 18, inclusive, result in sales.

To determine the probability of obtaining exactly 20 successes in 50 trials with p=0.30p=0.30p=0.30 , we should use

The waiting time in a doctor's office has an exponential distribution with μ=45\mu=45μ=45 minutes. Find the probability that -a patient has to wait between 0 and 30 minutes.

The graph shows the distribution of a continuous random variable that takes on values on the continuous interval from -2 to 2 . Find the probability that this random variable will take on the value indicated. -Between -2 and -1

An electronics firm believes that 70%70 \%70% of the new products they market will be successful. If the company markets 80 products in the next 5 years, find the probability that in that time -at least 60 products will be successful.

When considering area under the standard normal curve, decide whether the area to the left of z=−2.5z=-2.5z=−2.5 is bigger than, smaller than, or equal to the area to the right of z=2z=2z=2 .

Find the indicated normal-curve area using the normal table. -Between z=−1.48z=-1.48z=−1.48 and z=0z=0z=0

A supermarket manager has determined that the amount of time customers spend in the supermarket is approximately normally distributed with a mean of 45 minutes and a standard deviation of 6 minutes. -Find the probability that a customer spends between 39 and 43 minutes in the supermarket.

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

Probability Distributions

Sampling and Sampling Distributions

Problems of Estimation

Tests of Hypotheses: Means

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Analysis of Variance

Regression

Correlation

Nonparametric Tests

Filters

When considering area under the standard normal curve, decide whether the area to the right of $z=2$ is bigger than, smaller than, or equal to the area to the right of $\mathrm{z}=2.5$ .

Find $z$ if the normal curve area to the left of $z$ is 0.3015.

Find the indicated normal-curve area using the normal table. -Between $\mathrm{z}=1.23$ and $\mathrm{z}=2.34$

If the area to the left of $z$ is 0.20 , then $z=$ _______.

Find $z$ if the normal curve area to the left of $z$ is 0.8962 .

The number of ounces of soda that a vending machine dispenses per cup is normally distributed with a mean of 12 ounces and a standard deviation of 4 ounces. -Find the number of ounces above which $80 \%$ of the dispensed sodas will fall. Round to the nearest tenth.

If $P(2<x<5) \neq P(2 \leq x \leq 5)$ then $x$ must be a discrete random variable.

Find the indicated normal-curve area using the normal table. -Between $z=-1.3$ and $z=1$ .

If a random variable has the normal distribution with $\mu=30$ and $\sigma=5$ , find the probability that it will take on the indicated value. -Less than 32

A salesperson knows that $20 \%$ of her presentations result in sales. Find the probabilities that in the next 60 presentations} -between 14 and 18, inclusive, result in sales.

To determine the probability of obtaining exactly 20 successes in 50 trials with $p=0.30$ , we should use

The waiting time in a doctor's office has an exponential distribution with $\mu=45$ minutes. Find the probability that -a patient has to wait between 0 and 30 minutes.

An electronics firm believes that $70 \%$ of the new products they market will be successful. If the company markets 80 products in the next 5 years, find the probability that in that time -at least 60 products will be successful.

When considering area under the standard normal curve, decide whether the area to the left of $z=-2.5$ is bigger than, smaller than, or equal to the area to the right of $z=2$ .

Find the indicated normal-curve area using the normal table. -Between $z=-1.48$ and $z=0$