X is a normally distributed random variable with a mean of 5 and a variance of 4. The probability that X is greater than 10.52 is
A)0.0029
B)0.0838
C)0.4971
D)0.9971

Question

Quizplus · Accepted Answer

To find the probability that X is greater than 10.52, we first convert X to a standard normal variable Z using the formula Z = (X - mean) / standard deviation. Here, Z = (10.52 - 5) / 2 = 2.76. Using standard normal distribution tables or a calculator, P(Z > 2.76) ≈ 0.0029.

X Is a Normally Distributed Random Variable with a Mean