Answer:
0.2356
Step-by-step explanation:
Given that:
μ = 40; σ = 16
P(50 ≤ x ≤ 70) :
Using the Zscore formula :
(x - μ) / σ
P((50 - 40) / 16 ≤ Z ≤ (70 - 40) / 16)
P(50 ≤ x ≤ 70) = P(0.625 ≤ Z ≤ 1.875)
Using the Z probability calculator :
P(Z ≤ 1.875) - P(Z ≤ 0.625) -
0.9696 - 0.73401
= 0.23559
= 0.2356
