Question

A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 300 adults and ask them to name their favorite sport.

- Find the probability that the number of people who say auto racing is their favorite sport is between 16 and 21, inclusive. Graph.

Answer 1

Here p=0.06 is same for all, n=300 is constant, events are independent and only two outcomes

So binomial properties are satisfied

Now as sample size is sufficient large, we will use normal approximation

Firstly mean is and standard deviation is

Now we need to find

As distribution is normal we can convert x to z