Exam 7: Random Variables and Discrete Probability Distributions
Exam 1: What Is Statistics43 Questions
Exam 2: Graphical Descriptive Techniques I93 Questions
Exam 3: Graphical Descriptive Techniques II140 Questions
Exam 4: Numerical Descriptive Techniques316 Questions
Exam 5: Data Collection and Sampling82 Questions
Exam 6: Probability237 Questions
Exam 7: Random Variables and Discrete Probability Distributions277 Questions
Exam 8: Continuous Probability Distributions215 Questions
Exam 9: Sampling Distributions154 Questions
Exam 10: Introduction to Estimation152 Questions
Exam 11: Introduction to Hypothesis Testing187 Questions
Exam 12: Inference About a Population149 Questions
Exam 13: Inference About Comparing Two Populations168 Questions
Exam 14: Analysis of Variance157 Questions
Exam 15: Chi-Squared Tests Optional175 Questions
Exam 16: Simple Linear Regression and Correlation301 Questions
Exam 17: Multiple Regression158 Questions
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NARRBEGIN: Montana Highways
Montana Highways
A recent survey in Montana revealed that 60% of the vehicles traveling on highways, where speed limits are posted at 70 miles per hour, were exceeding the limit. Suppose you randomly record the speeds of ten vehicles traveling on US 131 where the speed limit is 70 miles per hour. Let X denote the number of vehicles that were exceeding the limit.NARREND
-{Montana Highways Narrative} Find P(4 < X < 9).
(Short Answer)
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NARRBEGIN: Retries
Retries
The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media. 0 1 2 3 ( ) 0.35 0.35 0.25 0.05 NARREND
-{Retries Narrative} What is the standard deviation of the number of retries?
(Short Answer)
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To find the probability that X is at least 10, you should find the probability that X is 10 or ____________________.
(Short Answer)
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NARRBEGIN: Car Sales
Car Sales
The joint probability distribution of variables X and Y is shown in the table below. Rebecca and Rachel are car salespeople. Let X denote the number of cars that Rebecca will sell in a month, and let Y denote the number of cars Rachel will sell in a month. X 1 2 3 1 0.30 0.18 0.12 2 0.15 0.09 0.06 3 0.05 0.03 0.02 NARREND
-{Car Sales Narrative} Calculate E(X + Y) directly by using the probability distribution of X + Y.
(Short Answer)
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A portfolio return, Rp, of two stocks with individual returns, R1 and R2, is, in general, given by Rp = R1 + R2.
(True/False)
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The covariance can be negative but the coefficient of correlation cannot.
(True/False)
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A table, formula, or graph that shows all possible values a random variable can assume, together with their associated probabilities, is called a(n):
(Multiple Choice)
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NARRBEGIN: Risky Undertaking
Risky Undertaking
Suppose you make a $2,000 investment in a risky undertaking. There is a 50% chance that the payoff from the investment will be $5,000, a 20% chance that you will just get your money back, and a 30% chance that you will receive nothing at all from your investment.NARREND
-{Risky Undertaking Narrative} Find the expected value of the net profit from your investment of $2,000.
(Essay)
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NARRBEGIN: Montana Highways
Montana Highways
A recent survey in Montana revealed that 60% of the vehicles traveling on highways, where speed limits are posted at 70 miles per hour, were exceeding the limit. Suppose you randomly record the speeds of ten vehicles traveling on US 131 where the speed limit is 70 miles per hour. Let X denote the number of vehicles that were exceeding the limit.NARREND
-{Montana Highways Narrative} Find P(X = 2).
(Short Answer)
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In a Poisson distribution, the variance and standard deviation are equal.
(True/False)
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In a bivariate distribution, the sum of all the ____________________ probabilities must equal 1.
(Short Answer)
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NARRBEGIN: 911 Phone Calls
911 Phone Calls
911 phone calls arrive at the rate of 30 per hour at the local call center.NARREND
-{911 Phone Calls Narrative} Find the probability of receiving two calls in a five-minute interval of time.
(Essay)
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NARRBEGIN: Number of Horses
Number of Horses
The random variable X represents the number of horses per family in a rural area in Iowa, with the probability distribution: p(x) = 0.05x, x = 2, 3, 4, 5, or 6.NARREND
-{Number of Horses Narrative} Find the variance and standard deviation of X.
(Essay)
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NARRBEGIN: Number of Birds
Number of Birds
Alana and Eva are sisters. Let X denote the number of birds that Alana may have in the next two years, and let Y denote the number of birds Eva may have during the same period. The marginal probability distributions of X and Y are shown below. 0 1 2 ( ) 0.5 0.3 0.2 y 0 1 2 ( ) 0.4 0.5 0.1 NARREND
-{Number of Birds Narrative} Determine the probability distribution of the random variable X + Y.
(Essay)
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The sum of the expected values always equals the expected value of the sums.
(True/False)
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NARRBEGIN: Stress
Stress
Consider a binomial random variable X with n = 5 and p = 0. 40, where X represents the number of times in the final exam week a student with 18 credit hours may feel stressed.NARREND
-{Stress Narrative} Find P(2 X 4).
(Short Answer)
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The variance of a binomial distribution for which n = 100 and p = 0.20 is:
(Multiple Choice)
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A portfolio expected return E(Rp) of 3 stocks with the quantities w1 = .40, w2 = .50, w3 = .10, E(R1) = .10, E(R2) = .15, and E(R3) = .02 is equal to 0.117.
(True/False)
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The following information regarding a portfolio of two stocks are given: w1 = .65, w2 = .35, E(R1) = .12, and E(R2) = .14. Which of the following regarding the portfolio expected return, E(Rp), is correct?
(Multiple Choice)
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