For each flight, there are only two possible outcomes. Either they arrive late, or they do not. The probability of a flight arriving late is independent of any other flight. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

BlueSky Air has the best on-time arrival rate with 80% of its flights arriving on time.

This means that 100 - 80 = 20% are late, which means that $p = 0.2$

Randomly selecting 16 BlueSky Air flights

This means that $n = 16$

What is the probability that 2 flights of BlueSky Air arrive late?

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.211$

0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late

6 0

3 years ago

Please help thank you very much.

Makovka662 [10]

Hello!

First you have to find the volume of the cube

To do this we use the equation a^3

a is a side length

24^3 = 13824

The maximum pyramid can have a maximum side length of 24 and a maximum height of 24 since that is what the cube measurements are

The equation for the volume of a square pyramid is

$a^{2} \frac{h}{3}$

a is side length
h is height

put in 24 for the values

$24^{2} \frac{24}{3}$

Square the 24

$576 \frac{24}{3}$

Divide

576 * 8 = 4608

The answer is B) 4608 cubic centimeters

Hope this helps!

5 0

3 years ago