A fair coin is tossed 60 times. Using the normal

Cynthia Bell

Cynthia Bell

Answered question

2022-01-19

A fair coin is tossed 60 times. Using the normal approximation to the binomial distribution, what is the probability that a head will show between 30 and 36 times inclusive?

Answer & Explanation

Steve Hirano

Steve Hirano

Beginner2022-01-19Added 34 answers

0.505
Explanation:
n=60p=12m=np=30
and
s=np(1p)=15
z2=36.53015=1.678
z1=29.53015=0.129
We search z1 and z2 in a table for z-values and get 0.953-0.448=0.505

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