3
QuizMultiple Choice

Combining Two Random Variables

Question 3 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Soledad and Tania are both high school students. The number of texts Soledad sends daily, S, is approximately Normally distributed with a mean of 100 and a standard deviation of 6 texts. The number of texts Tania sends daily, T, is approximately Normally distributed with a mean of 108 and a standard deviation of 8.1 texts. Assume that S and T are independent random variables. Let D = S – T.What is the probability that Soledad sends more texts on a randomly selected day?

Answer
A
0.104
B
0.214
C
0.786
D
0.896
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Soledad and Tania are both high school students…