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3 years ago

I need help with this

Mathematics

1 answer:

Alexeev081 [22]3 years ago

4 0

Is there a question with it? if there is, I can't see it.

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3 years ago

A survey reports that the probability a person has blue eyes is 0.10. Assume that 4 people are randomly selected at Miramar Coll

marissa [1.9K]

Answer:

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.

4 0

3 years ago

Can someone please help me outt

saveliy_v [14]

Answer:

ASA

Step-by-step explanation:

We can see that the triangle has at least one similar side and one similar angle. We can also see that the triangles meet at a point, so they must have the same angle at that point where they connect. So that leads us to our answer being ASA since they have two similar angles and one similar side. This is the answer that I think is correct just by looking at the image. I haven't take this class since last year, so this is simply from memory. Correct me if I am wrong!

6 0

3 years ago