AP Statistics / Mr. Hansen
1/6/2004

Name: ________________________

1.

The odds against throwing a ring onto a milk bottle at a carnival are approximately 35 to 1; in other words, the probability of success on a single trial is 1/36. If trials are independent, what are (a) the probability that at least 20 tries are needed to score a "ringer" and (b) the probability of scoring 2 or more "ringers" in 20 tries?

(A) .5693, .0172
(B) .5693, .1055
(C) .5693, .3253

(D) .5855, .1055
(E) .5855, .3253

2.

When drop-kicking a basketball from half court, Bleem the Greem is successful approximately 12% of the time, on average. His trials are independent. Given that he has already missed 14 shots in a row, what is the probability that he will make a basket on or before his 18th try?

(A) .3185
(B) .4003
(C) .6815

(D) .8862
(E) .8998

3.

Larry the Luckless has written a new program in C++ that has computed his probability of being rejected by any particular young lady whom he invites to the prom to be .993. If his attempts are independent, what is the expected number of young ladies he must invite in order to achieve an acceptance?

(A) 1
(B) 1.007
(C) 138

(D) 142.857
(E) 155