Question

Suppose a normal distribution has a mean of 38 and a standard deviation of2. What is the probability that a data value is between 36 and 41? Round youranswer to the nearest tenth of a percent.• A. 62.5% B. 77.5%• C. 56.5%• D. 83.5%

Answer 1

Given

Mean =38

Standard deviation = 2

Find

Probability that a data value is between 36 and 41?

Explanation

P(36$\begin{gathered} P(\frac{36-38}{2}<\frac{X-\mu}{\sigma}<\frac{41-38}{2}) \\ \\ P(-11) \\ 0.933193-0.158655 \\ 0.775 \\ 77.5\% \end{gathered}$Final Answer

Hence , the correct option is B (77.5%)