Assume that x has a normal distribution, with the specified mean and standard deviation. Find the indicated probabilities. P(1 $\le$ x $\le$18)$\mu$ = 12;$\sigma$ = 4
A)0.997
B)0.067
C)0.106
D)0.930
E)0.003

Question

Quizplus · Accepted Answer

To find P(1 ≤ x ≤ 18) for a normal distribution with mean (μ) = 12 and standard deviation (σ) = 4, we calculate the z-scores for x = 1 and x = 18, then find the probability between these z-scores using the standard normal distribution table. The z-score for x = 1 is (1-12)/4 = -2.75, and for x = 18 is (18-12)/4 = 1.5. The probability between these z-scores corresponds to approximately 0.930.

Assume That X Has a Normal Distribution, with the Specified ≤\le≤

Assume That X Has a Normal Distribution, with the Specified $\le$