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MATH221-Week 4-Homework

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The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.54 minutes and a standard deviation of 1.91. 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 0.91, which is unusual as it is greater than 5% Probability is 0.09, which is unusual as it is less than 5% Probability is 0.09, which is usual as it is not less than 5% Probability is 0.91, which is usual as it is greater than 5% 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 0.12, which is unusual as it is less than 5% Probability is 0.88, which is unusual as it is greater than 5% Monthly water bills for a city have a mean of $108.43 and a standard deviation of $36.98. Find the probability that a randomly selected bill will have an amount greater than $173, 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 usual as it is not less than 5% Probability is 0.04, which is unusual as it is less than 5% Probability is 0.04, which is unusual as it is not less than 5% Probability is 0.04, which is usual as it is less than 5% Monthly water bills for a city have a mean of $108.43 and a standard deviation of $36.98. Find the probability that a randomly selected bill will have an amount greater than $173, 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 usual as it is less than 5% Probability is 0.04, which is usual as it is not less than 5% Probability is 0.04, which is unusual as it is not less than 5% Probability is 0.04, which is unusual as it is less than 5% 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 In a health club, research shows that on average, patrons spend an average of 42.5 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. 0.30 Less than 1% 0.40 0.70 A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.98mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire will have a depth less than 0.50mm. Would this outcome warrant a refund (meaning that it would be unusual)? Probability of 0.09 and would warrant a refund Probability of 0.91 and would not warrant a refund Probability of 0.91 and would warrant a refund Probability of 0.09 and would not warrant a refund

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