There is a 0.02275 probability that the age of any randomly chosen person in the department is less than 22 and 0.15866 probability that the age of any randomly chosen person is greater than 43. What is the mean of this distribution?

The mean of this distribution is 36 years of age.

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:

There is a 0.02275 probability that the age of any randomly chosen person in the department is less than 22.

This means that when X = 22, Z has a pvalue of 0.02275. So when X = 22,

So

0.15866 probability that the age of any randomly chosen person is greater than 43.

Tis means that when X = 43, Z has a pvalue of 1-0.15866 = 0.84134. So when X = 43,

So

We have that:

So

What is the mean of this distribution?

The mean of this distribution is 36 years of age.

ege

step-by-step explanation:

egge

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)