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. 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?

Question

Quizplus · Accepted Answer

The probability that the sleeping bag will be warm enough is the probability that the temperature is above 25°F. Using the normal distribution with mean 32°F and standard deviation 8°F, we find the z-score for 25°F, which is (25-32)/8 = -0.875. Looking up this z-score in a standard normal distribution table gives a probability of approximately 0.1894 for temperatures below 25°F. Therefore, the probability of temperatures above 25°F is 1 - 0.1894 = 0.8106.

You Are Planning a May Camping Trip to Denali National