An bus station has determined that the relationship

Ответ:

vant

31.01.2022

The weight of luggage for a flight with 142 passengers is 2,106

Step-by-step explanation:

The total weight of luggage stored in the baggage compartment can be estimated by the least squares regression equation:

y=118+14*x

where y is the total weight of luggage stored in the luggage compartment and x is the number of passengers on a bus.

If you want to predict the weight of luggage for a flight with 142 passengers, this means that x must have a value of 142. So, replacing in the expression:

y=118+14*142

you get:

y=118+1,988

y=2,106

The weight of luggage for a flight with 142 passengers is 2,106

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Ответ:

kaybec2386

02.09.2021

Mathematics

a) 0.1720

b) 0.8298

c) 19

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution 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.

In this problem we have that:

p = 0.85

(a) If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X = 9) when n = 12 .

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

$P(X = 9) = C_{12,9}.(0.85)^{9}.(0.15)^{3} = 0.1720$

(b) If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when n = 20