7
QuizMultiple Choice

Combining Two Random Variables

Question 7 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Lynnetta gets paid weekly for completing household chores. The amount of money she earns for doing dishes, D, is approximately Normally distributed with a mean of $53 and a standard deviation of $3.60. The amount of money she earns for doing laundry, L, is approximately Normally distributed with a mean of $47 and a standard deviation of $4.10. Assume that D and L are independent random variables.What is the probability that Lynnetta will earn more than $110 in a randomly selected week?

Answer
A
0.034
B
0.097
C
0.249
D
0.966
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