0:00
Here's our pmf.
00:18
It was 0 .6, 0 .25, 0 .1, 0 .05.
00:27
Okay, so we're asked, um, this is number of traffic citations.
00:35
What is the probability that among 15 randomly chosen individuals, at least 10 have no citations? so 10 out of 15.
00:50
So that's gonna be 15.
00:52
Choose 10, probability that they have no citations, 0 .6 to the, oops, 10th, probability that they don't, 0 .4 to the 5th.
01:06
Plus 10, choose, sorry, 15, choose 11, 0 .6 to the 11th, 0 .4 to the 4th.
01:27
Plus 15, choose 12, 0 .6 to the 12th, 0 .4 to the 3rd.
01:36
Plus 15, choose 13, 0 .6 to the 13th, 0 .4 to the 2nd.
01:51
Plus 15, choose 12, 0 .6 to the 14th, sorry, 14, i meant to say 14.
02:01
0 .6 to the 14, 0 .4 to the 1, and then 15, choose 15, 0 .6 to the 15th.
02:11
That's gonna give you the probability that, um, at least 10 have no citations.
02:18
You can type this in your calculator, and you should get 0 .4032.
02:26
Okay, next, what's the probability that fewer than half have at least one citation? um, so half would be like 7 1⁄2, so fewer than half would be 7 or less have at least one citation.
02:59
And the probability of at least one citation is 0 .4...