Question

10. Indicate whether the following statistics can be examples of binomial probability distributions:

a.) results of spinning a 4-color spinner

b.) results of flipping a quarter

c.) results of drawing a red or black suit from a deck of cards

d.) results of hitting red light or green light at the intersection of Main and Rt. 340

Answer 1

Binomial is "n" independent bernoulli trial , and bernoulli trial are those which have two outcome , such that it these two outcomes are disjoint and exhaustive

a.) results of spinning a 4-color spinner - It can not be binomial , because it have more than two outcomes

b.) results of flipping a quarter - It is binomial , because it have two outcome HEAD or TAIL, and nothing else and each flip is independent to other

c.) results of drawing a red or black suit from a deck of cards - It is binomial , because there are only two outcomes red or black which are exhaustive and disjoint (Replacement is necessary)

d.) results of hitting red light or green light at the intersection of Main and Rt. 340 - It can not be binomial , because black and red are not totally exhaustive , there is also chances of hitting yellow when you arrive at main