Question

a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88

155

likes

776 views

Answer to a math question a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88

$Expert avatar$

Timmothy

4.8

99 Answers

\mu=75,\sigma=7 calculate z-scores for 80 and 88 as z_1=\frac{80-\mu}{\sigma}=\frac{80-75}{7}\approx0.7143 z_2=\frac{88-\mu}{\sigma}=\frac{88-75}{7}\approx1.8571 refer to any z-score calculator or table to get P(0.7143 < Z < 1.8571) = 0.2059 approx required probability = 0.2059

Frequently asked questions (FAQs)

What is the measure in degrees of an angle given in radians as π/3?

Question: "Graph the inequality y < 2x + 3 on a coordinate plane. What is the shaded region's solution set when x is a positive integer?"

What is the volume of a rectangular solid with length "l," width "w," and height "h"? (

New questions in Mathematics

a runner wants to build endurance by running 9 mph for 20 min. How far will the runner travel in that time period?

Imagine that you are in an electronics store and you want to calculate the final price of a product after applying a discount. The product you are interested in has an original price of $1000 MN, but, for today, the store offers a 25% discount on all its products. Develop an algorithm that allows you to calculate the final price you will pay, but first point out the elements.

Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2

Given that y = ×(2x + 1)*, show that dy = (2x + 1)" (Ax + B) dx where n, A and B are constants to be found.

4X^2 25

The expected market return is 13,86% and the risk free rate 1%. What would then be the risk premium on the common stocks of a company which beta is 1,55? (in %, 2 decimal places)

"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.