Suppose that a recent poll found that 40% of adults in a certain country believe

Question

Suppose that a recent poll found that

40%

of adults in a certain country believe that the overall state of moral values is poor. If a survey of a random sample of

55

adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral? values, complete parts? (a) through? (d) below. Use the Tech Help button for further assistance.

?(a) Find the probability that exactly

21

of those surveyed feel the state of morals is poor. The probability that exactly

21

of those surveyed feel the state of morals is poor is

nothing.

?(Round to four decimal places as? needed.)

?(b) Find the probability that no more than

22

of those surveyed feel that state of morals is poor. The probability that no more than

22

of those surveyed feel that state of morals is poor is

nothing.

?(Round to four decimal places as? needed.)

?(c) Find the probability that more than

22

of those surveyed feel the state of morals is poor. The probability that more than

22

of those surveyed feel the state of morals is poor is

nothing.

?(Round to four decimal places as? needed.)

?(d) Find the probability that

15

or

16

believe the state of morals is poor. The probability that

15

or

16

believe the state of morals is poor is

nothing.

?(Round to four decimal places as? needed.)

Explanation / Answer

Result:

Suppose that a recent poll found that 40% of adults in a certain country believe that the overall state of moral values is poor. If a survey of a random sample of 55 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral? values, complete parts? (a) through? (d) below. Use the Tech Help button for further assistance.

?Binomial distribution used.

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

(a) Find the probability that exactly 21 of those surveyed feel the state of morals is poor. The probability that exactly 21 of those surveyed feel the state of morals is poor is nothing.

?n=55, p=0.40

P( x=21) = 0.1061

(Round to four decimal places as? needed.)

?

(b) Find the probability that no more than 22 of those surveyed feel that state of morals is poor. The probability that no more than 22 of those surveyed feel that state of morals is poor is nothing.

P( x ?22) = 0.5582

?(Round to four decimal places as? needed.)

?(c) Find the probability that more than 22 of those surveyed feel the state of morals is poor. The probability that more than 22 of those surveyed feel the state of morals is poor is nothing.

?P( x >22) = 0.4418

(Round to four decimal places as? needed.)

?(d) Find the probability that 15 or 16 believe the state of morals is poor. The probability that 15 or 16 believe the state of morals is poor is nothing.

?P( x= 15 or 16) = P( x=15) +P( x=16)

= 0.0171+ 0.0285

=0.0456

(Round to four decimal places as? needed.)

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.