Answer:
0.588
Step-by-step explanation:
By law of large number, the probability of the mean of 30 boards sample would be the same as 1 sample being between 94.8 in and 95.8 in within a normal distribution with mean 95 and standard deviation of 0.52. We can calculate this probability by subtracting the cumulative probability of 94.8 from the cumulative probability of 95.8 in.
P(94.8<x<95.8) = P(x < 95.8) - P(x < 94.8) = 0.938 - 0.35 = 0.588
