A binomial probability is given. Write the probability in words. Then, use a con

Rivka Thorpe

Rivka Thorpe

Answered question

2021-09-21

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>73)
Write the probability in words.
The probability of getting _ 73 successes.
Which of the following is the normal probability statement that corresponds to the binomial probability statement?
A. P(72.5<x<73.5)
B. P(x<72.5)
C. P(x>72.5)
D. P(x<73.5)
E. P(x>73.5)

Answer & Explanation

izboknil3

izboknil3

Skilled2021-09-22Added 99 answers

Step 1
Given:
binomial probability is given by ;
P(x>73)
Binomial probability in words :
Probability of getting number of 73 successes .
Step 2
Here we have to use continuity correction to convert binomial probability to normal probability as below;
we know that;
if we want to convert discrete to continuous then ;
P(x>c)=P(x>c+0.5)
therefore ;
P(x>73)=P(x>73.5) ........ by using continuity correction
Answer :
Option E is correct .

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