A distribution of values is normal with a mean of 188 and a standard deviation of 20.8. Find the probability that a randomly selected value is less than 167.2.

Answer:0.8413

Step-by-step explanation:

Mean = 188, Std Dev. = 20.8, Z = (x-mean) / Std Dev

P (X less than 167.2) = P (Z less than (167.2-188) / 20.8)

=P (Z less than (-20.8/20.8))

=P (z less than - 1) = P (Z less 1)

The value of 1 in the normal distribution table is 0.3413

So we add 0.5 to 0.3413 = 0.8413