Suppose ACT Reading scores are normally distributed with a mean of 21.421.4 and a standard deviation of 5.95.9. A university plans to award scholarships to students whose scores are in the top 9%9%. What is the minimum score required for the scholarship

The minimum score required for the scholarship is 29.306.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

What is the minimum score required for the scholarship

This is X when Z has a pvalue of 1-0.09 = 0.91. So it is X when Z = 1.34.

The minimum score required for the scholarship is 29.306.

73.0769230769% of the games were won

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.