A binomial probaity is given. Write the probably in words. Then, use a continuit

sibuzwaW

sibuzwaW

Answered question

2021-09-20

A binomial probaity is given. Write the probably in words. Then, use a continuity correction to convert the binomial probability to a normal distributon probability.
P(x=138)
Write the probability in words.
The probability of getting ? 138 successes.
Which of the fallowing is the normal probability statement that corresponds to the binomial probability statement?
A. P(x>137.5)
B.P(137.5<x<138.5)
C.P(x<137.5)
D.P(x>138.5)
E.P(x<138.5)

Answer & Explanation

casincal

casincal

Skilled2021-09-21Added 82 answers

Step 1
Given:
P(x=138) Step 2
The formula for binomial probability is
P(x=138)
Where x is the proportion of completed independent trails out of a given number that were successful. The probability that thehe are exactly 138 successes.
Step3
Utilizing a continuity correction and a normal distribution
A continuity correction is the name given to adding or subtracting 0.5 to a discrete x-value.
P(x=138)=P(1380.5<x<138+0.5)
Since, the sign is equal to add and subtract by 0.5,
Thus, the normal probability statement that corresponds to binomial probability statement is, P(137.5<x<138.5)
Therefore, the correct option is B.P(137.5<x<138.5)

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