A statistics teacher believes that the final exam grades for her class have a normal distribution with a mean of 82 and a standard deviation of 8. Answer the following: if x represents a possible test score for this population, find P(x >92)

P(x >92) = 0.1056

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:

P(x >92)

This is 1 subtracted by the pvalue of Z when X = 92. So

has a pvalue of 0.8944

1 - 0.8944 = 0.1056

P(x >92) = 0.1056

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation: