X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. The probability that x is between 1.48 and 15.56 is
A)0.0222
B)0.4190
C)0.5222
D)0.9190

Question

Quizplus · Accepted Answer

To find the probability that X is between 1.48 and 15.56, we calculate the z-scores for both values and use the standard normal distribution table. The z-score for 1.48 is (1.48-8)/4 = -1.63, and for 15.56 is (15.56-8)/4 = 1.89. The probability for z = -1.63 is approximately 0.0516, and for z = 1.89 is approximately 0.9706. The probability that X is between these values is 0.9706 - 0.0516 = 0.9190.

X Is a Normally Distributed Random Variable with a Mean