The value given below is discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability.

Probability of exactly 4 passengers who do not show up for a flight Choose the correct answer below.

A. The area to the right of 3.5
B. The area to the left of 4.5
C. The area to the right of 4.5
D. The area to the left of 3.5
E The area between 3.5 and 4.5

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khansawaqar7 khansawaqar7 · Answer 1 · 2020-02-04T11:07:55+01:00

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.