# Question: According to ACT results from the 2008 ACT test ing found

According to ACT, results from the 2008 ACT test-ing found that students had a mean reading score of 21.4 with a standard deviation of 6.0. Assuming that the scores are normally distributed,

a. find the probability that a randomly selected student had a reading ACT score less than 20.

b. find the probability that a randomly selected student had a reading ACT score between 18 and 24.

c. find the probability that a randomly selected student had a reading ACT score greater than 30.

d. find the value of the 75th percentile for ACT scores.

a. find the probability that a randomly selected student had a reading ACT score less than 20.

b. find the probability that a randomly selected student had a reading ACT score between 18 and 24.

c. find the probability that a randomly selected student had a reading ACT score greater than 30.

d. find the value of the 75th percentile for ACT scores.

## Relevant Questions

On a given day, the number of square feet of office space available for lease in a small city is a normally dis-tributed random variable with a mean of 750,000 square feet and a standard deviation of 60,000 square feet. The ...The weights of ripe watermelons grown at Mr. Smith’s farm are normally distributed with a standard deviation of 2.8 lb. Find the mean weight of Mr. Smith’s ripe watermelons if only 3% weigh less than 15 lb. Find the area under the normal curve that lies to the left of the following z-values a. z = - 1.30. b. z = - 2.56. c. z = - 3.20. d. z = - 0.64. We are often interested in finding the value of z that bounds a given area in the right-hand tail of the normal distribution, as shown in the accompanying figure. The notation z(a) represents the value of z such that P(z > ...Find the probability that a piece of data picked at random from a normal population will have a standard score (z) that lies to the left of the following z-values a. z = 2.10 b. z = 1.20 c. z = 3.26 d. z = 0.71Post your question