In Exercises, X denotes a binomial random variable with parameters

generals336

generals336

Answered question

2021-09-16

In Exercises, X denotes a binomial random variable with parameters n and p. For each exercise, indicate which area under the appropriate normal curve would be determined to approximate the specified binomial probability.
P(7<X<10)

Answer & Explanation

StrycharzT

StrycharzT

Skilled2021-09-17Added 102 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 a<X<b then add 0.5 to a and subtract 0.5 with b.
That is,
P(7<X<10)=P(7+0.5<x<100.5)=P(7.5<X<9.5)
Step 3
Thus, the area between 7.5 and 9.5 under the appropriate normal curve would estimate the binomial probability P(7<X<10).

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