Exhibit 6-1. You are planning a May camping trip to Denali National Park in Alas

Question

Exhibit 6-1. You are planning a May camping trip to Denali National Park in Alaska and want to make sure your sleeping bag is warm enough. The average low temperature in the park for May follows a normal distribution with a mean of 32°F and a standard deviation of 8°F. Refer to Exhibit 6-1. One sleeping bag you are considering advertises that it is good for temperatures down to 25°F. What is the probability that this bag will be warm enough on a randomly selected May night at the park?

A 0.1894

B 0.3106

C 0.8106

D 0.8800

Explanation / Answer

Exhibit 6-1. You are planning a May camping trip to Denali National Park in Alaska and want to make sure your sleeping bag is warm enough. The average low temperature in the park for May follows a normal distribution with a mean of 32°F and a standard deviation of 8°F. Refer to Exhibit 6-1. One sleeping bag you are considering advertises that it is good for temperatures down to 25°F. What is the probability that this bag will be warm enough on a randomly selected May night at the park?

A 0.1894

B 0.3106

C 0.8106

D 0.8800

Z value for 25, z=(25-32)/8 =-0.88

P( x >25) =P( z > -0.88)

=0.8106

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