The average number of moves a person makes in his or her lifetime is 12. If the standard deviation is 3.2, find the probability that the mean of a sample of 36 people is less than 10.

0.0001

Step-by-step explanation:

The average number of moves a person makes in his or her lifetime is 12.

We want to find the probability that the mean of a sample of 36 people is less than 10, if the standard deviation is 3.2.

We calculate the z-score using the formula:

We substitute the values to get:

We simplify to get;

From the standard normal distribution table we read -3.7 under 5 to obtain the area to the left of -3.75 as 0.0001

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?