Suppose that the proportion of passengers who miss a flight...

Name: suppose that the proportion of passengers who miss a flight for which they have a reservation is 00999 suppose a flight has 300 reservations note for each blank in this question write your a 19005
Uploaded: 2023-03-20T00:19:34-08:00
Duration: 6 min 5 s
Channel: Jason Horton
Description: suppose that the proportion of passengers who miss a flight for which they have a reservation is 00999 suppose a flight has 300 reservations note for each blank in this question write your a 19005

Suppose that the proportion of passengers who miss a flight for which they have a reservation is 0.0999. Suppose a flight has 300 reservations Note: For each blank in this question, write your answer rounded to four decimal places. (a) Find the mean of the sampling distribution of for a random sample of 300 reservations. Find the standard deviation of the sampling distribution of for a random sample of 300 reservations. b) Use the values in a) to find the probability that 10% or more of the passengers will miss the flight. (c) Use the values in a) to find the probability that 25 or fewer passengers will miss the flight.

Transcript

00:01 All right, in your question, you're dealing with airplane reservations.

00:05 We're told at the beginning of the question that the probability a person with the reservation misses the flight is given here by what i just underlined.

00:12 I've went ahead and figured out what the probability of showing up then would be, which is just to complement one minus that probability giving me this value.

00:20 We'll need that value for the second question.

00:24 Okay, i'm going to say let x, for the first question, let x equal the number of people with the reservation.

00:30 Who missed the flight, because question a asks you, what is the probability that 25 or more passengers miss that flight? this is what we would call a binomial probability, and i'm going to need to use technology to help solve it.

00:44 So what i'm going to need to do here is first to understand that the tool that i'm going to use won't work for a greater than symbol.

00:52 So i need to use a complement, one minus probability of x being less than 25.

01:00 So basically greater than or equal to 25 is the complement of less than 25.

01:05 Now the formula will look like this.

01:08 Bynome cdf, the number of trials, there's 290 trials.

01:15 That represents the number of tickets sold, reservations.

01:20 Your probability of missing is 0 .095, and the cutoff value we're looking for here is 25.

01:30 Now bynome cdf is found on a ti -84 calculator under the second distribution menu.

01:37 You're going to need that capability if you're going to solve a question like this.

01:43 Because it's pretty much, i'm not going to say it's impossible, but it's very tedious to do this by hand.

01:55 Alright, so i'm just typing that in, and we get an answer for part a of 0 .7399.

02:11 What that actually just did was calculate every probability 25 and below.

02:16 Now i'm sorry i actually just realized i messed that up.

02:19 This needed to be 24, not 25, because i want to be less than 25, which the first whole number less than 25 is 24.

02:33 Let me fix that answer.

02:38 It's actually 0 .8017.

02:42 Now that just calculated the probability of 24, 23, 22, 21, all the way down to zero, added all of them up.

02:52 So it's pretty important we have a capability to use technology to help with question like that.

02:58 Now for part b, i said let y stand for the number of people show up for the flight...

Question

Please give Ace some feedback