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Let X be a normal random variable with a mean of 2.14 and a standard deviation of 3.75.

a)The z-score that corresponds to a particular data point (x) is 1.42. Calculate the data point. Give your answer to 2 decimal places.

x =

b)The area under the standard normal probability density function from negative infinity to 1.42 is interpreted as the probability that X is:
less than or equal to x

equal to x

greater than or equal to x

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