Question

Problem 86c

Answer 1

Given information

Given that, We flip a coin 100 times (n = 100) and note that it only comes up heads 20% (p = 0.20) of the time. The mean and standard deviation for the number of times the coin lands on heads is µ = 20 and σ = 4 . We have to solve the following:

 

There is about a ____ chance that the number of heads will be somewhere between eight and 32.

Step-by-step explanation

Step 1.

The empirical rule predicts that 68% of observations fall within the first standard deviation , 95% within the first two standard deviations

 

, and 99.7% within the first three standard deviations .

 

So, 99.7% of observations fall within the first standard deviation