Given that x is a normal variable with mean μ = 47 and standard deviation σ = 6.3, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)

(a) , (b) , (c)

Step-by-step explanation:

Given that mean and standard deviation

(a) We need to find . Using z score

So,

(b) We need to find . Using z score

So,

(c) We need to find . From above z scores

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

a reflection across the x axis and a 90 degree rotation left and right.