Find the indicated probability or percentage for the normallydistributed variabl

Question

Find the indicated probability or percentage for the normallydistributed variable.

1) The variable X is normally distributed.The mean is = 22.0and the standard deviation is = 2.4. Find P(19.7 < X <25.3).

A) 0.4107 B) 1.0847 C) 0.3370 D) 0.7477

2) The incomes of trainees at a local mill are normally distributedwith a mean of $1,100 and a
standard deviation $150. If a sample of 100 trainees is selected,what is the probability that the
sample mean will be less than $1075 a month?
A) 4.478% B) 43.38% C) 35.31% D) 90.82%

Explanation / Answer

1. D - 0.7477 2. B - 43.38%

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