An intelligence test gives a score that follows a normal distribution with a mean of 100 and a standard deviation of 15.

a. Determine the percentage of the population that would obtain a coefficient between 95 and 110. (Approximate 4 decimal places) = Answer

b. What is the largest score in the interval centered at 100 that contains 50% of the population? = Answer

c. In a population of 2,500 individuals, how many individuals are expected to have a coefficient greater than 125? = Answer

d. What is the 98% percentile value for the test distribution? = Answer and.

If 5 are chosen at random, what is the expected value of those with a score greater than 95? = Answer

F. If an element of the population has a score greater than 95, what is the probability that its score is greater than 110? = Answer