Mathematics, 16.04.2020 17:58 tiffanybrandy23

According to a survey, 10% of Americans are afraid to fly. Suppose 1100 Americans are sampled. a) What is the probability that 121 or more americans in the survey are afraid to fly? Write your answer as a percentage rounded to two decimal places. b) What is the probability that 165 or more americans in the survey are afraid to fly? Write your answer as a percentage rounded to two decimal places. c) What is the probability that 8% or less of the americans surveyed answered they were afraid to fly? Write your answer as a percentage rounded to two decimal places.

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Answer from: maukjackie1974

The probability will be:

(a) 13.57%

(b) 0%

Given:

p = 10%

or,

= 0.10

n = 110

According to the question,

$\mu \hat{p} = p = 0.10$ $\sigma _{\hat p} = \frac{p(1-p) }{n}$

= 0.00905

$z = \frac{\hat p -p}{\sigma_{\hat p}}$

(a)

→ $P(\hat p \geq \frac{121}{1100} ) = P(\frac{Z \geq \frac{121}{1100} }{0.00905} )$

$= P(Z \geq 1.10)$

= 13.57 (%)

(b)

→ $P(\hat p \frac{165}{1100} ) = P (\frac{Z \geq \frac{165}{1100} - 0.10}{0.00905} )$

$= P(Z \geq 5.52)$

= 0 (%)

(c)

→ $P(\hat p \leq 0.08)= P(Z \leq \frac{0.08-0.10}{0.00905} )$

$= P(Z \leq -2.21)$

= 1.36 (%)

Thus the above answers are correct.

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Answer from: Gearyjames8

a) 14.46%

b) 0.00%

c) 1.54%

Step-by-step explanation:

According to the survey, 10% of Americans are afraid to fly.

This means p=0.10 and q=1-0.10=0.90 .

If 1100 Americans are sampled, then the sample size is n=1100 .

The mean of the distribution is $\mu=np$ .

This means $\mu=1100\times 0.10=110$

The standard deviation is $\sigma=\sqrt{npq}$

We substitute the values to get:

$\sigma=\sqrt{1100\times 0.1\times 0.9}=9.95$

a) We want to find the probability that 121 or more Americans in the survey are afraid to fly.

We first apply the continuity correction factor to get: $P(X\ge121)=P(X\:\:121-0.5)\\P(X\ge121)=P(X\:\:120.5)$

We now convert to Z-scores to get:

$P(X\:\:120.5)=P(z\:\:\frac{120.5-110}{9.95})=1.06\\$

From the standard normal distribution table P(z>1.06)=0.1446

As a percentage, the probability is 14.46%

b) We want to find the probability that 165 or more Americans in the survey are afraid to fly.

We apply the CCF to get:

$P(X\ge165)=P(X\:\:165-0.5)\\P(X\ge165)=P(X\:\:164.5)$

We convert to z-scores:

$P(X\:\:164.5)=P(z\:\:\frac{164.5-110}{9.95})=5.48$

From the normal distribution, P(z>164.5)=0

c) First, 8% of 1100 is 88.

We want to find the probability that 88 or less Americans in the survey are afraid to fly.

We apply the CCF to get:

$P(X\le88)=P(X\:$

We convert to z-scores:

$P(X\:$

From the normal distribution, P(z>\:-2.16)=0.0154

As a percentage, we get 1.54%

Answer from: Quest

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

Answer from: Quest

the answer is b

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According to a survey, 10% of Americans are afraid to fly. Suppose 1100 Americans are sampled. a) Wh...

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