Assuming that random variable X is normally distributed with u = 120 and o =20, the...

Question

Question

Answer 1

Answer #1

Answer: Assuming that random variable X is normally distributed with μ = 120 and σ = 20

Solution:

P(80 < X < 100) = P(80-120/20 < Z < 100-120/20)

P(80 < X < 100) = P(-2 < Z < -1)

P(80 < X < 100) = P(Z < -1) - P(Z < -2)

P(80 < X < 100) = 0.15866 - 0.02275

P(80 < X < 100) = 0.13591

The third option is correct answer.

P(80 < X < 100) = 0.1359

Add a comment

Answer 2

Similar Homework Help Questions

Assume the random variable x is normally distributed, with u = 48 and a = 10....

Assume the random variable x is normally distributed, with u = 48 and a = 10. Compute the probability Plx < 50). O A. 0.579 OB. 0.842 OC. 0.421 OD. 0.158 Click to select your answer
Q6. Given that X is a random variable that is normally distributed with u = 30...

Q6. Given that X is a random variable that is normally distributed with u = 30 and 0 = 4. Determine the following: a. P (30<x<35) b. P (x > 21) c. P(x < 40)
Assume the random variable x is normally distributed, with p = 3.5 and a = 1....

Assume the random variable x is normally distributed, with p = 3.5 and a = 1. Compute the probability P(2<x<4). O A. 0.625 OB. 0.023 OC. 0.977 OD. 0.375

X is a normally distributed variable with mean p = 30 and standard deviation o =...

X is a normally distributed variable with mean p = 30 and standard deviation o = 4. Find P(x < 40)
6) Assume X is a normally distributed random variable with mean μ= 53 and standard deviation...

6) Assume X is a normally distributed random variable with mean μ= 53 and standard deviation σ-12. Find P(52<X< 62). A) 0.5137 B)0.4269 C) 0.3066 D) 0.2108 E) 0.3635
QUESTION 10 4 If Z is a standard normal random variable, then P(-1.25<= Z <=-0.75) is...

QUESTION 10 4 If Z is a standard normal random variable, then P(-1.25<= Z <=-0.75) is QUESTION 11 4F It is given that x, the unsupported stem diameter of a sunflower plant, is normally distributed with population mean mu=35 and population standard deviation sigma=3. What is the probability that a sunflower plant will have a basal diameter of more than 40 mm? 4 pc QUESTION 12 A random variable x is normally distributed with u = 100 and o-20, What...

SELF ASSESSMENT 1 X is a normally distributed random variable with mean 57 and standard deviation 6. Find the...

SELF ASSESSMENT 1 X is a normally distributed random variable with mean 57 and standard deviation 6. Find the probability indicated P(X <59.5) а. P(X < 46.2) b. P(X> 52.2 С. d. P(X> 70) X is a normally distributed random variable with mean 500 and standard deviation 25 Find the probability indicated. а. Р(X < 400) b. P(466 < X <625) Р(X > С. Р(Х > 400)
CI Assume the random variable x is normally distributed with mean probability 89 and standard deviation...

CI Assume the random variable x is normally distributed with mean probability 89 and standard deviation ơ 4 Find the indicated Px 83) P(x < 83) (Round to four decimal places as needed.) Enter your answer in the answer box imal p O Type here to search 图自3 e )
Exercise 4 (Continuous Probability) For this exercise, consider a random variable X which is normally distributed...

Exercise 4 (Continuous Probability) For this exercise, consider a random variable X which is normally distributed with a mean of 120 and a standard deviation of 15. That is, x-.. N (μ = 120, σ. 225) (a) Calculate P(X<95) (b) Calculate P(X > 140) c) Calculate P(95<X<120 (d) Find q such that P(X<)-0.05 (e) Find q such that P(X>) 0.10

etX be normally distributed with mean μ = 120 and standard deviation σ = 20. (a)...

etX be normally distributed with mean μ = 120 and standard deviation σ = 20. (a) Find z such that P(X > z) = 0.90. (b) Find z such that P(80 S X 100).