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# According to ACT, results from the 2008 ACT testing 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 24c. find the probability that a randomly selected student had a reading ACT score greater than 30d. find the value of the 75th percentile for ACT scores.

## a .4078; b .3821; c .0759; d .25.42

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