A binomial probability is given. Write the probability in words.​

Elleanor Mckenzie

Elleanor Mckenzie

Answered question

2021-09-22

A binomial probability is given. Write the probability in words.​ Then, use a continuity correction to convert the binomial probability to a normal distribution probability.
P(x<86)
Write the probability in words.

Answer & Explanation

funblogC

funblogC

Skilled2021-09-23Added 91 answers

Step 1
Given that,
Let x is a binomial random variable that is less than 86. Here x denotes number of successes.
The binomial probability P(x<86) can be represented in words as "probability of getting less than 86 successes.
Step 2
Continuity correction:
The binomial probability is converted to normal probability distribution by using the continuity correction.
If the binomial probability represents "less than c" then the normal probability is P(x<c0.5)
Step 3
By using continuity correction, the value 0.5 is subtracted from value of 86 as follows:
P(x<86)=P(x<860.5)
=P(x<85.5)
Hence, the binomial probability to a normal distribution probability by using continuity correction is P(x<85.5)

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?