check each binomial distribution to see whether it

lexiyoon1

lexiyoon1

Answered question

2022-05-16

check each binomial distribution to see whether it can be approximated by normal distribution (that is, np ≥5 and nq ≥5).

 

a.) n=20, p=0.5

b.)n=50, p=0.2

c.)n=10, p=0.6

d.)n=30, p=0.8

e.)n=40, p=0.9

f.)n=20 p=0.85

Answer & Explanation

nick1337

nick1337

Expert2022-07-03Added 777 answers

a) Here, p=0.5, q=0.5, and n=20

np=20(0.5)=10

nq=20(0.5)=10

Since np>5 and nq>5, the normal distribution can be used

b) Here, p=0.2, q=0.8, and n=50

np=50(0.2)=10

nq=50(0.8)=40

Since np>5 and nq>5, the normal distribution can be used

d) Here, p=0.8, q=0.2, and n=30

np=30(0.8)=24

nq=40(0.2)=6

Since np>5 and nq>5, the normal distribution can be used

e) Here, p=0.9 q=0.1, and n=40

np=40(0.9)=36

nq=40(0.1)=4

Since np>5 and nq>5, the normal distribution can be used

f) Here, p=0.85 q=0.15, and n=20

np=20(0.85)=17

nq=20(0.15)=3

Since nq<5, the normal distribution can be used

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