Z value can be given as:-
Z = (x-mean)/standard deviation
2 = (x-10)/3
6=x-10
x =6+10 = 16
16 is the random variable
Suppose a random variable has mean 10 and standard deviation 3. What is the value of...
2. Suppose that the normally distributed random variable X has mean and standard deviation a. Calculate the z-score of the value x=36. b. Calculate the value that corresponds to a Z-score of a)x= 36 22 b)2=-24 -
Suppose that XX is a random variable with mean 16 and standard deviation 5 . Also suppose that YY is a random variable with mean 36 and standard deviation 11 . Find the mean of the random variable ZZ for each of the following cases (Give your answer to three decimal places.) a) Z=3+10XZ=3+10X μZμZ = b) Z=3X−10Z=3X−10 μZμZ = c) Z=X+YZ=X+Y μZμZ = d) Z=X−YZ=X−Y μZμZ = e) Z=−4X−3YZ=−4X−3Y μZμZ =
1) A Gaussian random variable has a mean value of 3 and a standard deviation of 2. Find the probability that the value of the random variable exceeds 9. Repeat for the probability that it is less than -5. ANSWER WITH COMPLETE STEPS THANKS
Suppose x is a normal random variable with mean u and standard deviation o. If z is the standardized normal random variable of x, which of the following statements is false? (1) When r = y, the value of z=0. (2) When z is less than the mean y, the value of z is negative. (3) When r is greater than the mean y, the value of z is positive. (4) It is always the case that z <I.
a random variable X has a normal distribution with a mean of 17 ans standard deviation of 3.5 what is the z score for a value of 21.2
If random variable X has normal distribution with mean u=50 and the standard deviation q=2 , then the value of z-score corresponding to the value X =60 is : - 10 - 5 - 50 - 0
If a sample has a mean of 101 and a standard deviation of 16, what is the value in the data set that corresponds to z score of 2? Select the best answer. Answer 10 Points m Tables Keypad 0133 0113 97 116
A population has a mean of 200 and a standard deviation of 50. Suppose a random sample of 100 people is selected from this population. What is the probability that the sample mean will be within +/- 5 of the population mean? Hint: use the z-score.
Suppose X is a normal random variable with mean = 100 and standard deviation = 20. What is the Z-value for X= 90? a) 0.5 b) -0.5 c) 5 d) -5
Random variable X has mean Ux=24 and standard deviation σx =6. Randon variable Y has mean Uy =14 and standard deviation σY = 4. A new random variable Z was formed, where Z=X+Y. What can we conclude about X, Y, and Z with certainty? That is, which one is true?