Mathematics, 16.03.2020 18:46 yooahahah41

A survey reports that the probability a person has blue eyes is 0.10. Assume that 4 people are randomly selected at Miramar College and asked if they have blue eyes, find the probability that at least 1 of them have blue eyes. Round to 3 decimal places. 0.291

Answers: 1

Show answers

Answers

Answer from: anniekwilbourne

0.344 = 34.4% probability that at least 1 of them have blue eyes.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have blue eyes, or they have not. The probability of a person having blue eyes is independent of any other person. 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.

A survey reports that the probability a person has blue eyes is 0.10.

This means that p = 0.1

4 people are randomly selected at Miramar College

This means that n = 4

Find the probability that at least 1 of them have blue eyes.

Either none of them have blue eyes, or at least one do. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . So

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.656$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.656 = 0.344$

0.344 = 34.4% probability that at least 1 of them have blue eyes.

Answer from: Quest

use an equation of ratios to determine the amount of gas needed to fill the tank.

0.2 0.8

288.75 x

231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal $3

* = $3465 (answer)

1 1 gal

hope this you

Answer from: Quest

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

Another question on Mathematics

Mathematics, 21.06.2019 15:30

What is the length of the missing leg in this right triangle? 18 mm 24 mm 26 mm 32 mm

Answers: 1

Answer

Mathematics, 21.06.2019 17:00

Use the frequency distribution, which shows the number of american voters (in millions) according to age, to find the probability that a voter chosen at random is in the 18 to 20 years old age range. ages frequency 18 to 20 5.9 21 to 24 7.7 25 to 34 20.4 35 to 44 25.1 45 to 64 54.4 65 and over 27.7 the probability that a voter chosen at random is in the 18 to 20 years old age range is nothing. (round to three decimal places as needed.)

Answers: 1

Answer

Mathematics, 21.06.2019 19:00

Solve 3x-18=2y and 5x-6y=14 by elimination or substitution . show all !

Answers: 1

Answer

Mathematics, 21.06.2019 19:50

Use composition to determine if (x) or h(x) is the inverse of f(x) for the limited domain x2-1.

Answers: 3

Answer

You know the right answer?

A survey reports that the probability a person has blue eyes is 0.10. Assume that 4 people are rando...