In: Statistics and Probability
A set of data has a normal distribution with a mean of 47 and a standard deviation of 7. Find the percent of data within the following interval. less than 47
Solution :
Given that ,
mean =
= 47
standard deviation =
= 7
P(x < 47) = P[(x -
) /
< (47 - 47) / 7]
= P(z < 0)
= 0.5
percent = 0.05%