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

105 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)

Math question: What is the product of the conjugate of a complex number (1 + i) and its absolute value?

What is the limit as x approaches 2 of (x^2 - 4)/(x^2 - 2x - 2)?

What is the limit as x approaches infinity of (e^x - e^(-x))/2?

New questions in Mathematics

The random variable Y is defined as the sum between two different integers selected at random between -4 and 2 (both included). What are the possible values of the random variable Y? What is the value of P(Y=-3)? And whether it is less than or equal to -5?

In a random sample of 600 families in the Metropolitan Region that have cable television service, it is found that 460 are subscribed to the Soccer Channel (CDF). How large a sample is required to be if we want to be 95% confident that the estimate of “p” is within 0.03?

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

If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?

1 plus 1

Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)