Question: 1. Suppose a random variable X approximately follows x~N( 10.7, 6.76). a. What is the probability an observation of X is between 8.4 and 11.6?

1. Suppose a random variable X approximately follows x~N( 10.7, 6.76).

a. What is the probability an observation of X is between 8.4 and 11.6?

b. What is the probability a sample mean of 10 observations is between 8.4 and 11.6?

c. What is the probability a sample mean of 100 observations is between 8.4 and 11.6?

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