The intelligence quotient (iq) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. what is the probability we could select a sample of 50 adults and find the mean of this sample is between 95 and 105?

0.9817

Step-by-step explanation:

Given : The Intelligence Quotient (IQ) test scores for adults are normally distributed with

Mean :

Standard deviation :

Sample size : = 50

Let x be the random variable that represents the IQ test scores for adults.

Z-score :

For x =95

For x =105

By using standard normal distribution table , the probability the mean of the sample is between 95 and 105 :-

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.