Step-by-step explanation:
slope= -1/2
y intercept= 2
y=mx+b
m is the slope and b is the y intercept.
The number is X
(1/3)x -6=8
Given:
μ = 55 in, population mean
σ = 6 in, population standard deviation
Part (a)
x = 48 in, the random variable
Calculate the z-score.
z = (x - μ)/σ
= (48 - 55)/6
= -1.667
From standard table, obtain
P(X < 48) = 0.12167
Answer: 0.1217 (tyo 4 dec.places)