Answer:
probability is 0.778
Step-by-step explanation:
Given data in question
success of probability (p) = 41% = 0.41
no of sample (n) = 400
individual = 150
to find out
probability that the sample proportion will be at least 135/400
solution
first we calculate the mean i.e
mean = p × n
mean = 400 × 0.41
mean = 164
now we calculate standard deviation = [tex]\sqrt{400(0.41) 0.59}[/tex]
standard deviation = 9.83666
we know P(X ≥ 135) = P(Z ≥ (150 - 164)/9.83666)
P(X ≥ 135) = P(Z ≥ (-1.42324)
from table 1 find corresponding probability
P(X ≥ 135) = 1 - P(Z ≥ (-1.42324)
= 1 - 0.9222 = 0.778
probability is 0.778
