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Question 11A running shoe company wants to sponsor the fastest 3% of runners

Question 11A running shoe company wants to sponsor the fastest 3% of runners. You know that in this race,

the running times are normally distributed with a mean of 7.2 minutes and a standard deviation of 0.56 minutes. How fast would you need to run to be sponsored by the company?

A)6.3 minutes

B)6.1 minutes

C)8.3 minutes

D)8.1 minutes

Question 12

The weights of bags of peas are normally distributed with a mean of 12.08 ounces and a standard deviation of 1.03 ounces. Bags in the upper 5% are too heavy and must be repackaged. What is the most that bag and weigh and not need to be repackaged?

A)13.77 ounces

B)10.39 ounces

C)10.06 ounces

D)10.28 ounces

Question 13

A stock’s price fluctuations are approximately normally distributed with a mean of $29.51 and a standard deviation of $3.87. You decide to sell whenever the price reaches its highest 20% of values. What is the highest value you would still hold the stock?

A)$25.25

B)$24.50

C)$32.38

D)$31.77

 
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