In each of the following situations, is it reasonable to use a binomial distribu

Question

In each of the following situations, is it reasonable to use a binomial distribution for the random variable X? Give reasons for your answer in each case. If a binomial distribution applies, give the values of n and p.

(a) A poll of 200 college students asks whether or not you usually feel irritable in the morning. X is the number who reply that they do usually feel irritable in the morning.

Yes, a binomial distribution is reasonable; B(1/2, 200).

Yes, a binomial distribution is reasonable; B(p, 200).

Yes, a binomial distribution is reasonable; B(200, 1/2).

Yes, a binomial distribution is reasonable; B(200, p).

No, a binomial distribution is not reasonable. Changed: Your submitted answer was incorrect.

(d) You deal 10 cards from a shuffled deck of standard playing cards and count the number X of black cards.

Yes, a binomial distribution is reasonable; B(10, 1/4).

Yes, a binomial distribution is reasonable; B(10, 1/2).

Yes, a binomial distribution is reasonable; B(1/2, 10).

Yes, a binomial distribution is reasonable; B(1/4, 10).

No, a binomial distribution is not reasonable.

Explanation / Answer

a)

A poll of 200 college students asks whether or not you usually feel irritable in the morning.

X is the number who reply that they do usually feel irritable in the morning.

using Binomial distribution is reasonable because there are fixed possible values i.e from 0 to 200

p is unknown according to question

so answer is (D) i.e Yes, a binomial distribution is reasonable; B(200, p)

(d)

no of black cards from 10 dealt cards is not Bionomial distribution is because each card being black or red is dependent on other cards drawn

so answer is (E) No, a binomial distribution is not reasonable

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

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