If µ = 35.2 and s = 10, then p ( X ) for X ≤ 39 equals _________. Assume random sampling.
A) 0.3520
B) 0.6200
C) 0.1480
D) 0.6480

Question

Quizplus · Accepted Answer

Using the standard normal distribution, we can convert X into a z-score:

z = (39 - 35.2)/10 = 0.38

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than or equal to 0.38:

P(Z ≤ 0.38) = 0.6480

Since the distribution is normal, we can use this probability as an approximation for the probability of X being less than or equal to 39:

P(X ≤ 39) ≈ P(Z ≤ 0.38) = 0.6480

If µ = 352 and S = 10, Then P ( X )