Answer:
Hello your question is incomplete below is the missing value
determine the probability that the number who have a high school degree as their highest educational level is exactly 32
answer : P( x = 32 ) = 0.08
Step-by-step explanation:
Given ;
n = 100 , p = 0.304
np = 100 * 0.304 = 30.4
n( 1 - p ) = 100 ( 1 - 0.304 ) = 69.6
applying normal approximation to the Binomial to determine mean value and standard deviation ( because: Â np and n(1-p) Â > 5 )
mean = np = 30.4
std = [tex]\sqrt{np(1-p)}[/tex] = [tex]\sqrt{30.4(69.6)}[/tex] = 4.6
Determine the probability of exactly 32
P( X = 32 ) = P( 31.5 < X < 32.5 )
         = P( (31.5 - 30.4) / 4.6  < X  < (32.5 - 30.4) / 4.6 )
         = P ( 0.24 < Z < 0.46 )
         = p( Z < 0.46 ) - p( Z< 0.24 )  ( using standard tables )
         = 0.6772 - 0.5948 = 0.0824  ≈ 0.08
