Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 56 and 64? Round your
answer to the nearest tenth of a percent.

Question

itsme · Answer

yu hae to find the probability

Mercury · Answer

old question, responding to close

calculate the z-score for the boundary values 56 and 64.

$$z=\frac{ x-μ }{ σ}$$

where x is the value being examined, μ is the mean, σ is the standard deviation

in this case, first use x = 56, along with the mean and standard deviation. calculate the z-score. repeat for x = 64.

use a calculator/z-table to find the associated probability for each boundary value. then subtract the two values.