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 fewer than 8 passengers who do not show up for a flight Choose the correct answer below. A. The area to the right of 8.5 B. The area between 7.5 and 8.5 C. The area to the right of 7.5 D. The area to the left of 7.5 E. The area to the left of 8.5

D. The area to the left of 7.5

Step-by-step explanation:

If fewer than 8 passengers do not show up for a flight, then at most 7 passengers do not show up for a flight. Therefore, applying continuity correction, the area under the curve must comprehend from zero to seven passengers not showing up, but not the 8th passenger. Thus, the area must be to the left of 7.5.

The answer is D. The area to the left of 7.5.

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.