Compute the following probability:
If Y is distributed N (−3,4), Pr (−6 ≤ Y ≤ −1) = ? (Round to four decimal places)
Solution :
Given that ,
Y is distributed N (−3,4)
mean = = -3
variance = 2 = 4
standard deviation = = 2 = 4 = 2
P(-6 Y -1)
= P[(-6 - (-3) / 2) (Y - ) / (-1 - (-3) /2 ) ]
= P(-1.5 z 1.0)
= P(z 1.0) - P(z -1.5)
Using z table,
= 0.8413 - 0.0668
= 0.7745
Compute the following probability: If Y is distributed N (−3,4), Pr (−6 ≤ Y ≤...
Compute the following probabilities: If Y is distributed N (-4,9), Pr (Y > -2) = ? (Round to four decimal places)
Compute the following probabilities: If Y is distributed N (-2,4), Pr (Y less than equal 1)= (Round your response to four decimal places.) Please show me step by step!
show your workings Compute the following probabilities: If Yis distributed N (-2,4), Pr (Ys - 1) = (Round your response to four decimal places.)
2.5) Compute thc following probabilities: a. If Y is distributed N(1,4), find Pr(YS3). b. If Y is distributed N(3,9), find Pr(Y>0). *c. If Y is distributed N(50,25), find Pr(40 < Y S 52). d. If Y is distributed N(5,2), find Pr(6 SY S8).
Question Help Compute the following probabilities: If Y is distributed N (-2.4). Pr (Ys-5)(Round your response to four decimal places.) or work (unemployed) in the working-age U.S. population for 2012. Joint Distribution of Employment Status and College Graduation in the U.S. Population Aged 25 and Older, 2012 Unemployed Employed (Y 0) Y1) 0.586 0.639 0.361 1.000 Non-college grads (X = 0) 0.015 Total 0.932 a. Compute E(Y). b. The unemployment rate is the fraction of the labor force that is...
use n=6 and p=0.15 to complete parts a through d please Use n 6 and p 0.15 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given parameters x P(x) 0 0.3771 1 0.3993 2 0.1762 3 0.0415 4 0.0055 5 0.0004 6 0.0000 (Round to four decimal places as needed.) (b) Compute the mean and standard deviation of the random variable using #x-O (Round to two decimal places as needed.) x- [x-P(x) and...
Assume a binomial probability distribution with n=40 and π=0.26. Compute the following: A.) The Mean and standard deviation of the random variable. (round deviation to 4 decimal places and mean to 1) B.) The probability that X is 15 or more. (round to 4 decimal places) C.) The probability that X is 5 or less. (round to 4 decimal places)
The random variable Y has the following probability distribution. k Pr(Y = k) 3 6 9 12 15 0.2 0.21 0.42 0.14 0.03 The random variable (3 - (Y/3))2 has a probability distribution of the following form. k Pr((3 - (Y/3))2 = k) a b c d e f where the values of a, b, and c, are in increasing order. (a) Find the values of a, b, and c. (b) Find the values of d, e, and f. Problem...
A binomial probability experiment is conducted with the given parameters, Compute the probability of successes in the n independent trials of the experiment n=9, p=0.5, x ≤ 3 The probability of x ≤ 3 successes is _______ (Round to four decimal places as needed.)
Compute the correlation coefficient. x 2 7 6 3 4 y 4 6 5 3 2 Send data to Excel The correlation coefficient is . Round the answers to three decimal places.