Here mean = 7
Standard deviation = 2
then Z = (x - Mean) / S.D
Here we need to use the Standard normal tables
Assume X is normally distributed with a mean of 7 and a standard deviation of 2....
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).
3. Suppose that X is normally distributed with mean 75 and standard deviation 10. Determine the following: a) P(X > 90) b) P(X> 60) e) P(65 <X < 75) d) Find the value for α that satisfies the equation P(75-α < X < 75+a) = 0.80128.
X is a normally distributed variable with mean p = 30 and standard deviation o = 4. Find P(x < 40)
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
Assume that z-scores are normally distributed with a mean of O and a standard deviation of 1. If P(0 < z < a) = 0.4857, find a. a = (Round to two decimal places.)
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
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)
(10pts) 2. Assume X is normally distributed with a mean of 5 and variance of 16. Determine the value of x that solves each of the following: P(x < X < 9) = 0.2 b) P(-x < X-5<x) = 0.99
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
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 .