Mathematics, 20.02.2021 23:20 bgallman153p71edg

The heights of men in the US are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The heights of women in the US are
normally distributed with a mean of 65 inches and a standard deviation of 2.5
inches. If we select 1 man and 1 woman randomly from the population the
differences (M-W) should be normal as well. Assume the heights are independent of one another. Find the mean and standard deviation of the distribution of the differences in height. Then, use it to find the probability that the difference could be less than zero, which means that the woman selected is taller than the man selected.
A. P(X < 0) = 0.1003
B. P(X < 0) = 0.1814
C. P(X < 0) = 0.8186
D. P(X < 0) = 0.8997

Answers: 2

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 20:30, 2022maldonadoleonel

Your friend uses c=50p to find the total cost, c, for the people, p, entering a local amusement park what is the unit rate and what does it represent in the context of the situation?

Answers: 2

continue

Mathematics, 21.06.2019 21:00, Kekkdkskdkdk

Out of $20$ creepy-crawly creatures in a room, $80\%$ are flies and $20\%$ are spiders. if $s\%$ of the total legs belong to spiders, what is $s$?

Answers: 2

continue

Mathematics, 22.06.2019 00:30, saurav76

If we pull out the middle player of team a and the fourth player of the team b. what will be the force of team a and team b? what is their sum of forces

Answers: 2

continue

Mathematics, 22.06.2019 02:00, samarahbrown6050

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?

Answers: 1

continue

You know the right answer?

The heights of men in the US are normally distributed with a mean of 70 inches and a standard devia...