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: np and n(1-p) > 5 )
mean = np = 30.4
std = =
= 4.6
<u>Determine the probability of exactly 32 </u>
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
