is normally distributed with and . What is the standard deviation of , to significant figures?

Answer and explanation

Correct answer: B. 5.65

  1. Step 1: Standardize using the standard normal variable : from standard normal tables, and .
  2. Step 2: Form the linear system: , and .
  3. Step 3: Subtract the first equation from the second: .
Answer
5.65.

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