a. P(x < X < 9)
we know,
P(Z<0.361) = 0.641
So, (x-5 / 4) = 0.641
So, x = 7.564
b.
We know, P(-2.576 < Z < 2.576) = 0.99
So, (x/4) = 2.576
or, x = 10.304
(10pts) 2. Assume X is normally distributed with a mean of 5 and variance of 16....
Assume X is normally distributed with a mean of 7 and a standard deviation of 2. Determine the value for x that solves each of the following Round the answers to 2 decimal places. a) P(X >x) = 0.5 b) P(X > x) = 0.95
4-56. Assume that X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the value for x that solves each of the following: (a) P(X > x)=0.5 (b) P(X>x)=0.95 (c) P(x < X<7)=0.2 (d) P(3<x<x)= 0.95 (e) P(-x<X -5<x)=0.99
Assume X is normally distributed with a mean of 9 and a standard deviation of 2. Determine the value for x that solves each of the following. Round the answers to 2 decimal places. a) P(X > x) = 0.5. b) P(X > x) = 0.95. x= c) P(x < X < 9) = 0.2. x = i d) P(-x< X - 9 < x) = 0.95. x= i e) P(-x< X - 9 < x) = 0.99. x= i
Exercise 2. Let consider a normally distributed random variable Z with mean 0 and variance 1. Compute (a) P(Z < 1.34). (b) P(Z > -0.01). (c) the number k such that P(Z <k) = 0.975.
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 )
Problem 4. Let X be normally distributed with mean 1 and variance 2.2. (a) Find P0.5 < X < 2). (b) Find 95th percentile of X.
Assume X is normally distributed with a mean of 16 and a standard deviation of 5.5. Determine the value for x that solves each of the following. Round the answers to 2 decimal places.a) P(X>x)=0.5
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
Question 35 Assume X is normally distributed with a mean of 6 and a standard deviation of 2. Determine the value for x that solves each of the following. Round the answers to 2 decimal places. a) P(X > x) = 0.5. b) Р(X > х) %3D 0.95. 2.71 c) P(x< X < 6) = 0.2. P( -x < X – 6 < x) = 0.95. d) e) P( -x < X - 6 < x) = 0.99 .
Assume that z scores are normally distributed with a mean of O and a standard deviation of 1. If Pl-a<z<a) = 0.4314, find a. 1.49 0.57 -0.18 0.3328 Question 5 O out of 2 points A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 16 tosses. What is the probability X of being correct 16 or more times by guessing?...