High School

Use a continuity correction to describe the region under a normal curve that corresponds to the binomial probability of "at least 83."

A. The area to the left of 83
B. The area to the right of 83
C. The area to the right of 82.5
D. The area to the left of 82.5
E. The area to the right of 83.5
F. The area to the left of 83.5

Answer :

A binomial probability of 'at least 83', consider it as the region under a normal distribution curve to the right of 82.5. This captures 'at least 83' in a continuous scale. The binomial probability of 'at least 83', we use the area to the right of 82.5.

The application of continuity correction to a binomial distribution approximated by a normal distribution. For the problem here, 'at least 83' implies 83 and above (inclusive). However, when applying a continuity correction, one needs to consider that the discrete value of 83 in the binomial distribution is represented by the interval from 82.5 to 83.5 in the continuous normal distribution.

Therefore, to describe the region under the normal curve that corresponds to the binomial probability of 'at least 83', we use the area to the right of 82.5. This is because we want to include 83 and any value higher, and in the continuous scale, 83 is represented by anything greater than 82.5.

Learn more about the topic of binomial probability here:

https://brainly.com/question/33065007

#SPJ11

Other Questions