Question: 6. Studies have shown that for all second-grade students the average reading speed is 90 words per minute with a standard deviation of 10 words

6. Studies have shown that for all second-grade students the average reading speed is 90 words per minute with a standard deviation of 10 words per minute. You take a sample of 34 second graders and compute their average reading speed. What is the probability that the average reading speed is between 95 and 100 words per minute?

a) (7pts) Define a random variable to be used in the problem. State the distribution of this variable, perform all necessary checks, and state its parameters.

b) (3pts) What is the probability that the average reading speed is between 95 and 100 words per minute?

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