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In: Statistics and Probability

The ACT is a college entrance exam. ACT test scores follow a normal distribution with a...

The ACT is a college entrance exam. ACT test scores follow a normal distribution with a mean of 22.2 points and a standard deviation of 4.9 points. Let X = number of points scored on the ACT. Answer the following questions.

A. Jasmine scored a 28.227 on the ACT. Calculate Jasmine's Z-score.

B. Interpret Jasmine's z-score in terms of the problem.

C. What is the probability that a randomly selected individual gets an ACT score that is lower than Jasmine's? Round your answer to four decimal places.

D. What is the probability that a randomly selected individual gets a score greater than Jasmine's? Round answers to four decimal places.

E. What is the probability that a randomly selected individual scores between 18.378 and 28.864 points? Round answers to four decimal places.

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orchestra answered 1 year ago
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