Round all probabilities to four decimal places, standard deviation for the sampling distribution of ?̂ to three decimal places and everything else to two decimal places. The scores on a test for...

Round all probabilities to four decimal places, standard deviation
for the sampling distribution of ?̂ to three decimal places and everything else to two decimal places.

The scores on a test for children in an eighth-grade class is normally distributed with a mean of 73 and a
standard deviation of 5.7. Answer the following:

a) What is the probability a test score is less than 82?

b) Pearl E. Gates has a test score called S. If another child in the class is picked at random, the probability
that the other child has a score higher than Pearl is 0.48. Find Pearl’s test score.