Question

Determine if the following fulfills the conditions for a binomial distribution. If it is not binomial explain why.

A fisherman fishing will continue to fish until he catches a rainbow trout.

We flip a coin 3 times and observe the number of heads.

A market researcher at a shopping mall is asking consumers whether they use Fib detergent. She asks a sample of 4 men one of whom is clearly the boss of the others.

The National Burglar and Fire Alarm Association reports that 34% of burglars get in through the front door. A random sample of 36 burglaries is taken and the number of entries through the front door is noted.

Answer 1

1)

A fisherman fishing will continue to fish until he catches a rainbow trout. not binomial ; as number of events are not fixed and depend on the event at whihc we receive a rainbow trout.

2)

We flip a coin 3 times and observe the number of heads. : binomial

3)

market researcher at a shopping mall is asking consumers whether they use Fib detergent. She asks a sample of 4 men one of whom is clearly the boss of the others.: not binomial as probability of event is not independent cause the four people choice are dependent being related to each other

4)

The National Burglar and Fire Alarm Association reports that 34% of burglars get in through the front door. A random sample of 36 burglaries is taken and the number of entries through the front door is noted. --Binomial