The random variable X is normally distributed. Also, it is known that P(X > 184)
ID: 3200471 • Letter: T
Question
The random variable X is normally distributed. Also, it is known that P(X > 184) = 0.04. Use Table 1. a. Find the population mean , if the population standard deviation = 10. (Round "z" value to 2 decimal places and final answer to 1 decimal place.) Mean b. Find the population mean , if the population standard deviation = 18. (Round "z" value to 2 decimal places and final answer to 1 decimal place.) Mean c. Find the population standard deviation , if the population mean = 167. (Round “z” value to 2 decimal places, and final answer to 2 decimal places.) Standard deviation d. Find the population standard deviation , if the population mean = 152. (Round “z” value to 2 decimal places, and final answer to 2 decimal places.) Standard deviation
Explanation / Answer
P(X>184) = .04
a.
So, 184-Mean / 10 = 1.75
X = 184-17.5
X=166.5
b)
184-Mean / 18 = 1.75
Mean = 152.5
c)
184-167 / sigma = 1.75
Sigma = (17/1.75)
Sigma = 9.71
d)
184-152 / Sigma = 1.75
Sigma = 32/1.75 = 18.29