Question 1

Refer to the table below for events in a sample space,S,compute P(C|E).

Accepted Answer

0.5667.Choose the on

Question 2

List the outcomes of the sample space.
-A box contains 10 red cards numbered 1 through 10.List the sample space of picking one card from the box.

Accepted Answer

A) {10} 
B) {100} 
C) {1,10} 
D) {1,2,3,4,5,6,7,8,9,10} 
A) {10} 
B) {100} 
C) {1,10} 
D) {1,2,3,4,5,6,7,8,9,10}

Question 3

A calculator requires a keystroke assembly and a logic circuit.Assume that 91% of the keystroke assemblies and 93% of the logic circuits are satisfactory.Find the probability that a finished calculator will be satisfactory.
Assume that defects in keystroke assemblies are independent of defects in logic circuits.

Accepted Answer

A) .8649 
B) .9200 
C) .8463 
D) .8281 
A) .8649 
B) .9200 
C) .8463 
D) .8281

Question 4

Use Bayes' rule to find the indicated probability.
-An water well is to be drilled in the desert where the soil is either rock,clay or sand.The probability of rock P(R)= 0.53.The clay probability is P(C)= 0.21.The sand probability is P(S)= 0.26.It if it rock,a geological test gives a positive result with 35% accuracy.If it is clay,this test gives a positive result with 48% accuracy.The test gives a 75% accuracy for sand.Given the test is positive,what is the probability that soil is rock,P(sand | positive)?

Accepted Answer

Question 5

Use the tree diagram to find the requested probability.
-Find P(XIA).Give your answer as a decimal and round your answer to three decimal places if necessary.   a = 0.1,b = 0.9,c = 0.8,d = 0.2,e = 0.3,f = 0.7

Accepted Answer

A) 0.08 
B) 0.073 
C) 0.229 
D) 0.8 
A) 0.08 
B) 0.073 
C) 0.229 
D) 0.8

Question 6

Find the probability.
-In a batch of 8,000 clock radios 6% are defective.A sample of 9 clock radios is randomly selected without replacement from the 8,000 and tested.The entire batch will be rejected if at least one of those tested is defective.What is the probability that the entire batch will be rejected?

Accepted Answer

A) 0.573 
B) 0.111 
C) 0.0600 
D) 0.427 
A) 0.573 
B) 0.111 
C) 0.0600 
D) 0.427

Question 7

Find the probability.
-People were given three choices of soft drinks and asked to choose one favorite.The following table shows the results.   P(person is over 40 n person drinks diet cola)?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability.
-Three coins are tossed,and the number of heads is noted.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

Find the probability.
-The table shows the political affiliation of voters in a small midwestern town and their positions on stronger drug control laws.   Find the probability that a Democrat opposes stronger drug control laws.

Accepted Answer

A) 0.420 
B) 0.390 
C) 0.350 
D) 0.490 
A) 0.420 
B) 0.390 
C) 0.350 
D) 0.490

Question 10

Solve the problem.
-At the Stop 'n Go tune-up and brake shop,the manager has found that an SUV will require a tune-up with a probability of 0.6,a brake job with a probability of 0.1 and both with a probability of 0.02.What is the probability that an SUV requires a tune-up but not a brake job?

Accepted Answer

A) 0.02 
B) 0.58 
C) 0.68 
D) 0.7 
A) 0.02 
B) 0.58 
C) 0.68 
D) 0.7

Question 11

Provide an appropriate response.
-In a raffle 1000 tickets are being sold at $1.00 each.The first prize is $100,and there are 3 second prizes fo $50 each.By how much does the price of a ticket exceed its expected value?

Accepted Answer

A) $1.75 
B) $50 
C) $0.75 
D) $1.00 
A) $1.75 
B) $50 
C) $0.75 
D) $1.00

Question 12

A shipment of 20 digital cameras contains two that are defective.A random sample of three is selected and tested.Let X be the random variable associated with the number of defective cameras in a sample.Find the probability distribution of X and the expected number of defective cameras in a sample.

Accepted Answer

The answer of A shipment of 20 digital cameras contains...

Question 13

Find the expected value.
-A car agency has found daily demand to be as shown in the table.   Find the expected number of customers.

Accepted Answer

A) 2 
B) 12 
C) 9 
D) 10 
A) 2 
B) 12 
C) 9 
D) 10

Question 14

Find the odds.
-Suppose you are playing a game of chance.If you bet $9 on a certain event,you will collect $360(including your $9 bet)if you win.Find the odds used for determining the payoff.

Accepted Answer

A) 39:1 
B) 1:39 
C) 360:369 
D) 40:1 
A) 39:1 
B) 1:39 
C) 360:369 
D) 40:1

Question 15

Solve the problem.
-A drug company is running trials on a new test for anabolic steroids.The company uses the test on 400 athletes know to be suing steroids and 200 athletes known not to be using steroids.Of those using steroids,the new test is positive for 390 and negative for 10.Of those not using steroids,the test is positive for 10 and negative for 190.What is the estimated probability of a false negative result (the probability that an athlete using steroids will test negative)?

Accepted Answer

A) 0.975 
B) 0.05 
C) 0.95 
D) 0.025 
A) 0.975 
B) 0.05 
C) 0.95 
D) 0.025

Question 16

Use Bayes' rule to find the indicated probability.
-Two shipments of components were received by a factory and stored in two separate bins.Shipment I has 2% of its contents defective,while shipment II has 5% of its contents defective.If it is equally likely an employee will go to either bin and select a component randomly,what is the probability that a defective component came from shipment II?

Accepted Answer

A) 0.5 
B) 0.333 
C) 0.714 
D) 0.25 
A) 0.5 
B) 0.333 
C) 0.714 
D) 0.25

Question 17

Use Bayes' rule to find the indicated probability.
-In Cumberland County,55% of registered voters are Democrats,30% are Republicans and 15% are independent. During a recent election,35% of the Democrats voted,65% of the Republicans voted,and 75% of the Independent voted.What is the probability that someone who voted is a Republican?

Accepted Answer

A) 0.225 
B) 0.39 
C) 0.065 
D) 0.385 
A) 0.225 
B) 0.39 
C) 0.065 
D) 0.385

Question 18

Find the odds.
-If the sectors are of equal size,what are the odds of spinning an A on this spinner?

Accepted Answer

A) 2:6 
B) 3:5 
C) 6:2 
D) 4:2 
A) 2:6 
B) 3:5 
C) 6:2 
D) 4:2

Question 19

Estimate the indicated probability.
-College students were given three choices of pizza toppings and asked to choose one favorite.The following table shows the results.   A randomly selected student who is a a junior or senior is also prefers veggie.Round the answer to the nearest hundredth.

Accepted Answer

A) .391 
B) .408 
C) .229 
D) .688 
A) .391 
B) .408 
C) .229 
D) .688

Question 20

Use Bayes' rule to find the indicated probability.
-Quality Motors has three plants.Plant 1 produces 35% of the car output,plant 2 produces 20% and plant 3 produces the remaining 45%.One percent of the output of plant 1 is defective,1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective.The annual total production of Quality Motors is 1,000,000 cars.A car chosen at random from the annual output and is found defection.What is the probability that it came from plant 2?

Accepted Answer

A) 0.217 
B) 0.35 
C) 0.559 
D) 0.224 
A) 0.217 
B) 0.35 
C) 0.559 
D) 0.224

Refer to the table below for events in a sample space,S,compute P(C|E).

List the outcomes of the sample space. -A box contains 10 red cards numbered 1 through 10.List the sample space of picking one card from the box.

Use the tree diagram to find the requested probability. -Find P(XIA).Give your answer as a decimal and round your answer to three decimal places if necessary. a = 0.1,b = 0.9,c = 0.8,d = 0.2,e = 0.3,f = 0.7

Find the probability. -People were given three choices of soft drinks and asked to choose one favorite.The following table shows the results. P(person is over 40 n person drinks diet cola)?

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability. -Three coins are tossed,and the number of heads is noted.

Find the probability. -The table shows the political affiliation of voters in a small midwestern town and their positions on stronger drug control laws. Find the probability that a Democrat opposes stronger drug control laws.

Solve the problem. -At the Stop 'n Go tune-up and brake shop,the manager has found that an SUV will require a tune-up with a probability of 0.6,a brake job with a probability of 0.1 and both with a probability of 0.02.What is the probability that an SUV requires a tune-up but not a brake job?

Provide an appropriate response. -In a raffle 1000 tickets are being sold at $1.00 each.The first prize is $100,and there are 3 second prizes fo $50 each.By how much does the price of a ticket exceed its expected value?

A shipment of 20 digital cameras contains two that are defective.A random sample of three is selected and tested.Let X be the random variable associated with the number of defective cameras in a sample.Find the probability distribution of X and the expected number of defective cameras in a sample.

Find the expected value. -A car agency has found daily demand to be as shown in the table. Find the expected number of customers.

Find the odds. -Suppose you are playing a game of chance.If you bet $9 on a certain event,you will collect $360(including your $9 bet)if you win.Find the odds used for determining the payoff.

Find the odds. -If the sectors are of equal size,what are the odds of spinning an A on this spinner?

Estimate the indicated probability. -College students were given three choices of pizza toppings and asked to choose one favorite.The following table shows the results. A randomly selected student who is a a junior or senior is also prefers veggie.Round the answer to the nearest hundredth.

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Exam 8: Probability

Refer to the table below for events in a sample space,S,compute P(C|E).

List the outcomes of the sample space. -A box contains 10 red cards numbered 1 through 10.List the sample space of picking one card from the box.

Use the tree diagram to find the requested probability. -Find P(XIA).Give your answer as a decimal and round your answer to three decimal places if necessary. a = 0.1,b = 0.9,c = 0.8,d = 0.2,e = 0.3,f = 0.7

Find the probability. -People were given three choices of soft drinks and asked to choose one favorite.The following table shows the results. P(person is over 40 n person drinks diet cola)?

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability. -Three coins are tossed,and the number of heads is noted.

Find the probability. -The table shows the political affiliation of voters in a small midwestern town and their positions on stronger drug control laws. Find the probability that a Democrat opposes stronger drug control laws.

Solve the problem. -At the Stop 'n Go tune-up and brake shop,the manager has found that an SUV will require a tune-up with a probability of 0.6,a brake job with a probability of 0.1 and both with a probability of 0.02.What is the probability that an SUV requires a tune-up but not a brake job?

Provide an appropriate response. -In a raffle 1000 tickets are being sold at $1.00 each.The first prize is $100,and there are 3 second prizes fo $50 each.By how much does the price of a ticket exceed its expected value?

A shipment of 20 digital cameras contains two that are defective.A random sample of three is selected and tested.Let X be the random variable associated with the number of defective cameras in a sample.Find the probability distribution of X and the expected number of defective cameras in a sample.

Find the expected value. -A car agency has found daily demand to be as shown in the table. Find the expected number of customers.

Find the odds. -Suppose you are playing a game of chance.If you bet $9 on a certain event,you will collect $360(including your $9 bet)if you win.Find the odds used for determining the payoff.

Find the odds. -If the sectors are of equal size,what are the odds of spinning an A on this spinner?

Estimate the indicated probability. -College students were given three choices of pizza toppings and asked to choose one favorite.The following table shows the results. A randomly selected student who is a a junior or senior is also prefers veggie.Round the answer to the nearest hundredth.

Linear Equations and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Logic, sets, and Counting

Markov Chains

Limits and the Derivative

Mathematical Functions and Limits

Filters