Question: Can someone show me how to work this problem out, please. The scores of students on the SAT college entrance examinations at a certain high

Can someone show me how to work this problem out, please.

The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean =559.4=559.4 and standard deviation =29.4=29.4.

(a) What is the probability that a single student is randomly chosen from all those taking the test scores 563 or higher?

ANSWER:

For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test.

(b) What are the mean and standard deviation of the sample mean score x, of 35 students?

The mean of the sampling distribution for x is:

The standard deviation of the sampling distribution for x is:

ANSWER:

(d) What is the probability that the mean score x of these students is 563 or higher?

ANSWER:

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