Answer:
E. The area between 3.5 and 4.5
Step-by-step explanation:
The probability of exactly 4 passengers who don't show up= P(X=4)
Using the continuity correction by adding and subtracting 0.5 from 4.
P(X=4)=P(3.5<X<4.5)
P(3.5<X<4.5)=P((3.5-μ)/σ<(X-μ)/σ<(4.5-μ)/σ)
P(3.5<X<4.5)=P((3.5-μ)/σ<z<(4.5-μ)/σ)
The probability can then be calculated by inserting the value of mean and standard deviation.
The probability of exactly 4 passengers who don't show up can be calculated by finding the area between 3.5 and 4.5.