Question

2. assume the random variable x is normally distributed with mean (wierd character)..(u)=50 and standard deviation o=7 find the indicated probability
P(x>43)=
(round to four decimal places as needed)

Answer 1

2. assume the random variable $x$ is normally distributed with mean (wierd character)...(u)=50 and standard deviation o=7 find the indicated probability

$$P(x > 43) =$$

(round to four decimal places as needed)

$$P(x > 43) = P\left(\frac{x - 50}{7} > \frac{43 - 50}{7}\right) = P\left(\frac{x - 50}{7} > -1\right) = \text{by Central Limit Theorem} = 1 - F(-1) = F(1) = 0.3413$$