In Exercises, X denotes a binomial random variable with parameters

Globokim8

Globokim8

Answered question

2021-09-25

In Exercises, X denotes a binomial random variable with parameters n and p. For each exercise, indicate whicharea under the appropriate normal curve would be determined to approximate the specified binomial probability.
P(7X10)

Answer & Explanation

Aubree Mcintyre

Aubree Mcintyre

Skilled2021-09-26Added 73 answers

Step 1
Continuity correction:
The binomial probability is converted to a normal distribution probability by using the continuity correction.
Step 2
If the binomial probability represents aXb then subtract 0.5 with a and add 0.5 to b.
That is,
P(7X<10)=P(70.5<x<10+0.5)=P(6.5<x<10.5)
Step 3
Thus, the area between 6.5 and 10.5 under the appropriate normal curve would estimate the binomial probabilityP(7X10)

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