Question

Let x be a continuous random variable that is normally distributed with a mean of 23 and a standard deviation of 6. Find to 4 decimal places the probability that x assumes a valuea. between 27 and 33.Probability = Enter you answer in accordance to the item a) of the question statement b. between 19 and 35.Probability = Enter you answer in accordance to the item b) of the question statement

Answer 1

$\begin{gathered} \mu=23 \\ \sigma=6 \end{gathered}$

a.

[tex]\begin{gathered} P(27Using the z table:

[tex]P(\frac{2}{3}b.

[tex]\begin{gathered} P(19Using the z table:

[tex]P(-\frac{2}{3}