[] Flag this Question Question 14 pts<b>Solve the problem.<br><br></b>A die is rolled 7 times and the number of times that two shows on...

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Question 14 pts<b>Solve the problem.<br><br></b>A die is rolled 7 times and the number of times that two shows on the upper face is counted. If this experiment is repeated many times, find the mean for the number of twos.
 
 
Solve the problem.

A die is rolled 7 times and the number of times that two shows on the upper face is counted. If this experiment is repeated many times, find the mean for the number of twos.
 
 
 
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Question 24 ptsSkip to question text.
Use the Poisson model to approximate the probability. Round your answer to four decimal places.

The probability that a car will have a flat tire while driving through a certain tunnel is 0.00006. Use the Poisson distribution to approximate the probability that among 15,000 cars passing through this tunnel, at most two will have a flat tire.
 
 
 
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Question 34 ptsSkip to question text.
Find the mean, , for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth.

n = 40; p = 3/5
 
 
 
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Question 44 ptsSkip to question text.
Find the indicated probability. Round to three decimal places.

A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 22 components and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 7% rate of defects, what is the probability that this whole shipment will be accepted?
 
 
 
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Question 54 ptsSkip to question text.
Use the given values of n and p to find the minimum usual value  - 2 and the maximum usual value  + 2. Round your answer to the nearest hundredth unless otherwise noted.

 
 
 
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Question 64 ptsSkip to question text.
Find the mean, , for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth.

n = 523; p = 0.7
 
 
 
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Question 74 ptsSkip to question text.
Find the mean, , for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth.

n = 2790; p = 0.63
 
 
 
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Question 84 ptsSkip to question text.
Determine if the outcome is unusual. Consider as unusual any result that differs from the mean by more than 2 standard deviations. That is, unusual values are either less than  - 2 or greater than  + 2.

A survey for brand recognition is done and it is determined that 68% of consumers have heard of Dull Computer Company. A survey of 800 randomly selected consumers is to be conducted. For such groups of 800, would it be unusual to get 463 consumers who recognize the Dull Computer Company name?
 
 
 
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Question 94 pts<b>Identify the given random variable as being discrete or continuous.<br><br></b>The pH level in a shampoo
Identify the given random variable as being discrete or continuous.

The pH level in a shampoo
 
 
 
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Question 104 pts<b>Solve the problem.<br><br></b>The probability that a person has immunity to a particular disease is 0.7. Find the mean number who have immunity in samples of size 12.
Solve the problem.

The probability that a person has immunity to a particular disease is 0.7. Find the mean number who have immunity in samples of size 12.
 
 
 
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Question 114 pts<b>Solve the problem.<br><br></b>In a certain town, 42% of voters favor a given ballot measure. For groups of 30 voters, find the variance for the number who favor the measure.
Solve the problem.

In a certain town, 42% of voters favor a given ballot measure. For groups of 30 voters, find the variance for the number who favor the measure.
 
 
 
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Question 124 ptsSkip to question text.
Provide an appropriate response.

Assume that x is a random variable in a probability distribution with mean  and standard deviation . Find expressions for the mean and standard deviation if every value of x is modified by first being multiplied by 2, then increased by 3.
 
 
 
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Question 134 pts<b>Identify the given random variable as being discrete or continuous.<br><br></b>The number of field goals kicked in a football game
Identify the given random variable as being discrete or continuous.

The number of field goals kicked in a football game
 
 
 
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Question 144 ptsSkip to question text.
Find the mean of the given probability distribution.

The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled.
 
 
 
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Question 154 ptsSkip to question text.
Answer the question.

Focus groups of 14 people are randomly selected to discuss products of the Famous Company. It is determined that the mean number (per group) who recognize the Famous brand name is 9, and the standard deviation is 0.79. Would it be unusual to randomly select 14 people and find that greater than 13 recognize the Famous brand name?
 
 
 
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Question 164 ptsSkip to question text.
Provide an appropriate response. Round to the nearest hundredth.

In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. Find the standard deviation for the probability distribution.
 
 
 
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Question 174 ptsSkip to question text.
Find the standard deviation, , for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.

n = 21; p = 0.2
 
 
 
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Question 184 ptsSkip to question text.
Find the indicated probability. Round to three decimal places.

In a study, 43% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 13 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 13 adults are randomly selected, 3 or fewer are in excellent health.
 
 
 
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Question 194 ptsSkip to question text.
Find the mean of the given probability distribution.

In a certain town, 70% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree.
 
 
 
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Question 204 pts<b>Find the indicated probability.<br><br></b>An archer is able to hit the bull's-eye 53% of the time. If she shoots 10 arrows, what is the probability that she gets exactly 4 bull's-eyes? Assume each shot is independent of the others.
Find the indicated probability.

An archer is able to hit the bull's-eye 53% of the time. If she shoots 10 arrows, what is the probability that she gets exactly 4 bull's-eyes? Assume each shot is independent of the others.
 
 
 
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Question 214 ptsSkip to question text.
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places.

 
 
 
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Question 224 ptsSkip to question text.
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places.

n = 14, x = 6 , p = 0.5
 
 
 
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Question 234 pts<b>Find the mean of the given probability distribution.<br><br></b>A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.53, 0.43, 0.03, and 0.01, respectively.
Find the mean of the given probability distribution.

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.53, 0.43, 0.03, and 0.01, respectively.
 
 
 
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Question 244 ptsSkip to question text.
Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table.
Probabilities of Girls




Find the probability of selecting exactly 5 girls.
 
 
 
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Question 254 ptsSkip to question text.
Use the given values of n and p to find the minimum usual value  - 2 and the maximum usual value  + 2. Round your answer to the nearest hundredth unless otherwise noted.

n = 1242, p = 0.92
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