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