Question

Problem 86a

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 68% chance that the number of heads will be somewhere between ___ and ___. 

Step-by-step explanation

Step 1.

From the given information, 

As  is large, a Normal approximation is used.

So, mean will be 

and standard deviation will be 

Hence mean and the standard deviation is verified.