Question: 1. Suppose the random variable X is drawn from a population with mean fifty and standard deviation three. Is the sampling distribution of the sample

1. Suppose the random variable X is drawn from a population with mean fifty and standard deviation three. Is the sampling distribution of the sample mean for a sample of size twenty known or unknown? If known, what is it?

2. The time in seconds that it takes a Baylor student to jog from the Student Union Building to the Student Life Center is distributed as a Normal random variable with mean ninety-five seconds and standard deviation of fifteen seconds.

a. What is the probability that a student runs to the Student Life Center in at most two minutes?

b. What is the time, in seconds, at which the fastest 20% of students will have completed the run?

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