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one out of every three americans believes that the U.S. government should take \

ID: 3154168 • Letter: O

Question

one out of every three americans believes that the U.S. government should take "primary responsibility" for eliminating poverty in the United States. if 10 americans are selected, find the probability that at most 2 will believe that the US government should take primary responsibility for eliminating poverty. one out of every three americans believes that the U.S. government should take "primary responsibility" for eliminating poverty in the United States. if 10 americans are selected, find the probability that at most 2 will believe that the US government should take primary responsibility for eliminating poverty. one out of every three americans believes that the U.S. government should take "primary responsibility" for eliminating poverty in the United States. if 10 americans are selected, find the probability that at most 2 will believe that the US government should take primary responsibility for eliminating poverty.

Explanation / Answer

one out of every three americans believes that the U.S. government should take "primary responsibility" for eliminating poverty in the United States. if 10 americans are selected, find the probability that at most 2 will believe that the US government should take primary responsibility for eliminating poverty.

Binomial distribution used.

P(X=x) = (nCx) px (1-p)n-x

n=10

p=1/3=0.3333

P( at most 2) = P(x 2)

=P( x=0)+P( x=1)+P( x=2)

=0.0174+0.0867+0.1951

=0.2992

Binomial Probabilities Table

X

P(X)

P(<=X)

P(<X)

P(>X)

P(>=X)

0

0.0174

0.0174

0.0000

0.9826

1.0000

1

0.0867

0.1041

0.0174

0.8959

0.9826

2

0.1951

0.2992

0.1041

0.7008

0.8959

Binomial Probabilities Table

X

P(X)

P(<=X)

P(<X)

P(>X)

P(>=X)

0

0.0174

0.0174

0.0000

0.9826

1.0000

1

0.0867

0.1041

0.0174

0.8959

0.9826

2

0.1951

0.2992

0.1041

0.7008

0.8959