Mathematics, 28.07.2021 01:00, jlegrand9098

Global Airlines operates two types of jet planes: jumbo and ordinary. On jumbo jets, 30% of the passengers are on business while on ordinary jets 25% of the passengers are on business. Of Global's air fleet, 60% of its capacity is provided on jumbo jets. (Hint: The 25% and 30% values are conditional probabilities stated as percentages.) a) What is the probability a randomly chosen business customer flying with Global is on a jumbo jet?
b) What is the probability a randomly chosen non-business customer flying with Global is on an ordinary jet?

Answers: 2

Show answers

Answers

answered: koolja3

a) 0.18 = 18% probability a randomly chosen business customer flying with Global is on a jumbo jet.

b) 0.3 = 30% probability a randomly chosen non-business customer flying with Global is on an ordinary jet.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

Question a:

Event A: Jumbo

Event B: Business

60% of its capacity is provided on jumbo jets.

This means that P(A) = 0.6

On jumbo jets, 30% of the passengers are on business

This means that P(B|A) = 0.3

Desired probability:

We want to find $P(A \cap B)$ , so:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$P(A \cap B) = P(B|A)P(A) = 0.6*0.3 = 0.18$

0.18 = 18% probability a randomly chosen business customer flying with Global is on a jumbo jet.

b) What is the probability a randomly chosen non-business customer flying with Global is on an ordinary jet?

Event A: Ordinary

Event B: Non-business

60% of its capacity is provided on jumbo jets.

So 100 - 60 = 40% are ordinary, which means that P(A) = 0.4

On ordinary jets 25% of the passengers are on business.

So 100 - 25 = 75% are non-business, that is P(B|A) = 0.75

Desired probability:

We want to find $P(A \cap B)$ , so:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$P(A \cap B) = P(B|A)P(A) = 0.75*0.4 = 0.3$

0.3 = 30% probability a randomly chosen non-business customer flying with Global is on an ordinary jet.

answered: Guest

drive more conversions to your website

conversions are the outcome of your efforts. when a visitor sign up for any newspaper, or fill any form to order a specific product or when your page is shared on social media, all such attempts mean conversions of a website. whenever your desired action is fulfilled, the conversion rate of your website will increase. this increase in your conversion rate will prove that your website is going well. it also confirms that the quality of your website’s marketing was really good.drive more conversion to your website drive more conversions to your website

step-by-step explanation:

answered: Guest

The correct answer is -20y

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 13:00, TTownsel2390

What is the answer to |-2x-5|-|-4+8| and x=7

Answers: 2

continue

Mathematics, 21.06.2019 16:20, williamsgregg5214

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

Answers: 3

continue

Mathematics, 21.06.2019 17:30, QueenNerdy889

Suppose that an airline uses a seat width of 16.516.5 in. assume men have hip breadths that are normally distributed with a mean of 14.414.4 in. and a standard deviation of 0.90.9 in. complete parts (a) through (c) below. (a) find the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.516.5 in. the probability is nothing. (round to four decimal places as needed.)

Answers: 3

continue

Mathematics, 21.06.2019 18:40, s77969

Someone answer this check out the image!

Answers: 1

continue

Do you know the correct answer?

Global Airlines operates two types of jet planes: jumbo and ordinary. On jumbo jets, 30% of the pass...