Question

Assume a member is selected at random from the population represented by the graph.

1.

Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. 

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The probability that the member selected at random is from the shaded area of the graph is _______ (Round to four decimal places as needed.) 

2.

Use the normal distribution of SAT critical reading scores for which the mean is 501 and the standard deviation is 123. Assume the variable x is normally distributed.

(a) What percent of the SAT verbal scores are less than 675? 

(b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 575? 


(a) Approximately _______ % of the SAT verbal scores are less than 675. 

(Round to two decimal places as needed.) 

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Answer #1

Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.89, TRUE)" & "=NORM.S.DIST(-2.52, TRUE)" to find the probability.

The probability that the member selected at a random is from the shaded of the graph is .

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(1.41, TRUE)" to find the probability.

Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(0.60, TRUE)" to find the probability.

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