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3 years ago

MATH PEOPLE 25 POINTS TO ANSWER THIS HELP MEEEEEEE

Mathematics

1 answer:

Genrish500 [490]3 years ago

7 0

Answer:

Step-by-step explanation:

6 4=110(alt exter) 3=70(Suppl of 4) 1=70(vertical with 3)

7 x=3

8x+8=32

8x=24

x=3

42=8x-14

56=8x

x=7

42=56-14

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A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele

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Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night 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.

5% of Americans are afraid of being alone in a house at night.

This means that $p = 0.05$

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This is P(X = 3) when n = 20. So

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

$P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596$

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

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3 years ago