Question

Hi! Thanks for taking the time to check out my problem. If you can please answer as many as possible and I really appreciate your help.

Question 1 2 pts

The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a standard deviation of 1.90. Find the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase. Is this outcome unusual?

Probability is 0.12, which is usual as it is not less than 5%

Probability is 0.88, which is usual as it is greater than 5%

Probability is 0.88, which is unusual as it is greater than 5%

Probability is 0.12, which is unusual as it is less than 5%

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Question 2 2 pts

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. Find the probability that a randomly selected bill will have an amount greater than $165, which the city believes might indicate that someone is wasting water. Would a bill that size be considered unusual?

Probability is 0.04, which is unusual as it is less than 5%

Probability is 0.96, which is usual as it is greater than 5%

Probability is 0.04, which is usual as it is less than 5%

Probability is 0.96, which is unusual as it is greater than 5%

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Question 3 2 pts

In a health club, research shows that on average, patrons spend an average of 46.2 minutes on the treadmill, with a standard deviation of 4.8 minutes. It is assumed that this is a normally distributed variable. Find the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

0.10

0.90

0.80

-0.10

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Question 4 2 pts

A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.84mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire will have a depth less than 0.24mm. Would this outcome warrant a refund (meaning that it would be unusual)?

Probability of 0.96 and would warrant a refund

Probability of 0.04 and would warrant a refund

Probability of 0.96 and would not warrant a refund

Probability of 0.04 and would not warrant a refund

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Question 5 2 pts

A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than 10 minutes, the customer will be upset. Find the probability that a randomly selected customer takes more than 10 minutes if the average is 7.45 minutes with a standard deviation of 1.04 minutes.

0.993

0.007

0.071

0.501

Answer 1

#1 Given .

The correct option is:

Probability is 0.12, which is usual as it is not less than 5%.

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#2 Given .

The correct option is:

Probability is 0.04, which is unusual as it is less than 5%

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#3 Given .

The correct option is:

0.10

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#4 Given .

The correct option is:

Probability of 0.04 and would warrant a refund.

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#5 Given .

The correct option is:

0.007