Mathematics, 08.07.2019 21:10 Trevon0906

54% of u. s. adults have very little confidence in newspapers. you randomly select 10 u. s. adults. find the probability that the number of u. s. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.

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Answer from: amandasantiago2001

This question is based on the probability. Therefore, the required probabilities are : (a) P(5) = 0.238 , (b) $P(x \geq 6) = 0.478$ and (c) P(x .

Given:

54% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults.

We have to find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.

According to the question,

$P(5) = 0.238\\P(x \geq 6) = 0.478\\P(x$

In this we have to calculate the probability using the binomial probability formula,

$P(X=x) = \dfrac{n!}{x!(n-x)!} \times p^{x} \times (1-p)^{n-x}$

Where, p is the probability of obtaining a "favorable outcome ", x is the number of desired "favorable outcome " and n is the number of times the experiment is repeated. In this case n = 10 and p = 0.54.

(a) exactly five

x=5, n= 10, p = 0.54

$P(X=5)= \dfrac{10!}{5!(10-5)!} \times 0.5^{x} \times (1-0.54)^{10-5}$

P(X=5) = 0.238

(b) at least six

$x\geq 6, n=10, p=0.54\\P(x\geq 6) = P(6) + P(7) + P(8) + P(9)+P(10)\\P(x\geq 6) = 0.478$

$x< 6, n=10, p=0.54\\P(x< 4) = P(3) + P(2) + P(1) + P(0)\\P(x< 4) = 0.114$

Therefore, the answers are : (a) P(5) = 0.238 , (b) $P(x \geq 6) = 0.478$

and (c) P(x .

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Answer from: jasonespinosa19

P(5)=0.238

$P(x\geq 6)=0.478$

P(x

Step-by-step explanation:

In this case we can calculate the probability using the binomial probability formula

$P(X=x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}$

Where p is the probability of obtaining a "favorable outcome " x is the number of desired "favorable outcome " and n is the number of times the experiment is repeated. In this case n = 10 and p = 0.54.

(a) exactly five

This is:

$x=5,\ n=10,\ p=0.54.$

So:

$P(X=5)=\frac{10!}{5!(10-5)!}*0.54^x*(1-0.54)^{10-5}$

P(5)=0.238

(b) at least six

This is: $x\geq 6,\ n=10,\ p=0.54.$

$P(x\geq 6)=P(6) + P(7)+P(8)+P(9) + P(10)$

$P(x\geq 6)=0.478$

This is: $x< 4,\ n=10,\ p=0.54.$

P(x

Answer from: Quest

Don’t worry about it

Answer from: Quest

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

5c+2< 27 i really do not understand this.

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