Vicky is a good basketball shooter In fact Vickys probabilit

Vicky is a good basketball shooter. In fact, Vicky\'s probability of making a basket from the free throw line is 90%. Vicky will shoot 10 times in a row from the free throw line. Assuming that each shot is independent of the next, find the following:

Which is more likely - that Vicky will make exactly 8 baskets or exactly 10 baskets?

What is the probability that Vicky will make exactly 9 baskets?

What number of baskets is Vicky expected to make?

What is the probability that Vicky will make 7 or fewer baskets?

What is the probability that Vicky will make at least 8 baskets?

Solution

1) More likely : Vicky will make exactly 8 baskets

2) Probability that Vicky will make exactly 9 baskets = 9/10 * 0.9 = 0.81

3) Number of baskets is Vicky expected to make = 9

4) Probability that Vicky will make 7 or fewer baskets = (7/10)*(0.9) = 0.63

5) Probability that Vicky will make at least 8 baskets = (0.9) *(8/10) = 0.72