Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard deviation, σ = 2.8, find P( 12.2 < x < 18.36). Answer should contain 4 decimal places and enter in the form 0.XXXX

Name: Solved: Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard deviation, σ = 2.8, find P( 12.2 < x < 18.36). Answer should contain 4 decimal places and enter in the form 0.XXXX - MathMaster
Brand: MathMaster
Rating: 4.9 (179 reviews)

179

likes

893 views

Answer to a math question Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard deviation, σ = 2.8, find P( 12.2 < x < 18.36). Answer should contain 4 decimal places and enter in the form 0.XXXX

$Expert avatar$

Hank

4.8

101 Answers

The probability that the continuous random variable $ X $ falls between 12.2 and 18.36, given that $ X $ is normally distributed with a mean ($ \mu $) of 15 and a standard deviation ($ \sigma $) of 2.8, is approximately 0.7263 or 72.63%.

Frequently asked questions (FAQs)

How many diagonals are there in a regular decagon?

What is the unit vector component in the x-direction of a vector with magnitude 3.5 and an angle of 45 degrees to the x-axis?

Question: What is the area, in square units, of a triangle with base length 8 units and height 12 units?

New questions in Mathematics

a to the power of 2 minus 16 over a plus 4, what is the result?

12-6x=4x+2

3(2+x)-2(2x+6)=20-4x

What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..

A client did not advance L 10,000 for the rental of a parking area and it corresponds to 4 months, of which 2 months were consumed

Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.

Moaz wanted to test whether the level of headache pain (on a scale of 1 – 10) changes after taking Advil. He collected data from 9 participants and calculated the difference in headache pain before and after taking Advil (summarized in the table below). Determine W observed for this test. Difference Scores -2 -4 0 +1 +3 -2 0 -3 -5 Also, What is the degrees of freedom for this test?