Aset of data is normally distributed with a mean of 75 and a standard deviation of 3. what percent of the data is in the interval 72–78? a. 99.7% c. 95.5% b. 68.3% d. 47.7%

The percentage is 68.3%

Step-by-step explanation:

In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two, four and six standard deviations, respectively; more accurately, 68.27%, 95.45% and 99.73% of the values lie within one, two and three standard deviations of the mean, respectively.

 Χ is an observation from a normally distributed random variable, μ is the mean of the distribution, and σ is its standard deviation.

Hence from the figure attached to the answer we could see that:

the percentage is 68.3%.

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

a

step-by-step explanation: