Step 3 b what is the probability that susan passes on the...

Step 3 (b) What is the probability that Susan passes on the first try ($n=1$)? Substitute $n=1$ into the formula determined in part (a) and simplify the result. $P(n) = 0.75 (0.25)^{n-1}$ $= 0.75 ($ So, the probability that Susan passes the class on the first try is

Transcript

00:01 All right, number nine, says susan is taking western siv this semester on a past fell basis.

00:06 The department teaching the course has a history of passing 77 % of the students in western siv each term.

00:12 I'm going to write that information out here.

00:14 Probably going to be pretty important.

00:16 It says let n equal 1, 2, 3 represent the number of times a student takes western siv until the first passing grade is received.

00:27 So we have independent trials.

00:32 It tells us that in the problem.

00:33 We have a probability of passing, and then students are going to continue taking until the first passing grade or the first success happens.

00:42 So this is setting us up for a geometric distribution in which we have a probability of 0 .77.

00:49 All right, let's take a look at a.

00:59 So a says, write out a formula for the, the probability distribution of the random variable n.

01:06 All right.

01:06 So we know the probability of n is going to be the number of times that a student is going to fail the course that may be one, two, three, four, five, and then the final event is going to be them passing the course.

01:25 So they're going to fail 23 % of the time.

01:29 We know that from the probability of passing is 77.

01:32 That's going to happen all but one time and then that final time the student is going to pass.

01:40 So that would be a formula to represent this...

Question

Step 3 (b) What is the probability that Susan passes on the first try ($n=1$)? Substitute $n=1$ into the formula determined in part (a) and simplify the result. $P(n) = 0.75 (0.25)^{n-1}$ $= 0.75 ($ So, the probability that Susan passes the class on the first try is

Please give Ace some feedback