Given a normal distribution, X, with mean, 110, and standard deviation, sigma = 46.
A. What is the X value with Z-score equal to z = 0.65?
B. What is the probability of X is less than or equal to 146.9? %
solution:
Given that,
mean = = 110
standard deviation = = 46
Using standard normal table,
= P(Z < z) = 0.65
= P(Z <0.39 ) = 0.65
z = 0.39 Using standard normal table,
Using z-score formula
x= z * +
x= 0.39*46+110
x= 127.94
b.
P(X 146.9) = P[(X- ) / (146.9-110) /46 ]
= P(z 0.80)
Using z table
= 0.7881
Given a normal distribution, X, with mean, 110, and standard deviation, sigma = 46. A. What...
Given a normal distribution, X, with mean, 110, and standard deviation, sigma = 46. A. What is the X value with Z-score equal to z = 0.65? B. What is the probability of X is less than or equal to 146.9? %
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