Question

What is the probability that among all 100 coin flips, between 10 and 30 results in...

What is the probability that among all 100 coin flips, between 10 and 30 results in head (inclusive)?

Homework Answers

Answer #1

Assuming the coin is a fair coin

Thus,

p = probability of getting a head = 0.5

Let X be the number of heads obtained in 100 coin flips

X ~ follows Binomial distribution with n = 100 and p = 0.5

To find

To find P(10 ≤ X ≤ 30)              
We use Excel function BINOM.DIST to find the probability              
P(10 ≤ X ≤ 30) = P(X ≤ 30) - P(X < 10)              
   = P(X ≤ 30) - P(X ≤ 9)          
   = BINOM.DIST(30, 100, 0.5, TRUE) - BINOM.DIST(9, 100, 0.5, TRUE)          
   = 0.000039          

P(among all 100 coin flips, between 10 and 30 results in head) =

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