assume that the random variable Xis normally distributed whe

assume that the random variable Xis normally distributed, when mean u=50, and standard deviation = 7, Compute the probability P(34<X<57). round to four decimal places

Assume the random variable X is normally distributed with mean = 50 and standard deviation -7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(34

Solution

Option B

z = (x - u) / SD
z = (34 - 50) / 7 = -16/7
z = -2.29
So, P(x < 34) = 0.01101

z = (x - u) / SD
z = (57 - 50) / 7 = 1
z = 1
So, P(x < 57) = 0.84134

So, P(34 < x < 57) = 0.84134 - 0.01101

P(34 < x < 57) ---> 0.8303 --> ANSWER