9
QuizMultiple Choice

Combining Two Random Variables

Question 9 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

The weight of panda bears, P, is approximately Normally distributed with a mean of 185 pounds and a standard deviation of 12.3 pounds. The weight of koala bears, K, is approximately Normally distributed with a mean of 21.5 pounds and a standard deviation of 4.8 pounds. Suppose a zookeeper randomly chooses a panda and a koala bear, where P and K are independent random variables.What is the probability that the total weight for the two animals is 225 pounds or more?

Answer
A
0.020
B
0.081
C
0.195
D
0.851
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