Binomial Distribution Discussion Solutions

Binomial Distribution Discussion Solutions

1. For which of the following experiments is the binomial distribution an

appropriate model of the experiment’s probability distribution?

(A) Toss a six-sided fair die 30 times, and record the up face of

the die.

(B) Toss a six-sided fair die 100 times, and record the number of

times the up face of the die shows five dots.

(C) Count the number of cars entering a car wash in a 30-minute

period.

(D) Randomly draw 30 cards, successively without replacement, from

a well-shuffled deck of 52 playing cards, and observe whether the

card is a diamond.

2. For which of the following experiments is the binomial distribution NOT an appropriate model of the experiment’s probability

distribution?

(A) Toss two fair coins 10 times, and count the number of tosses in

which two heads appear.

(B) For a quiz consisting of 10 multiple-choice questions, each with

4 possible answer choices (A, B, C, and D), one of which is correct, an unprepared student does not read the question but simply

makes one random guess for each question. Count the number of

correct guesses the student makes for the 5 questions.

(C) The probability that a randomly chosen remote control from a

recent production lot will be defective is 0.15. Randomly select

and test 10 remote controls from the production lot, and record

the number of defective units.

(D) From an urn containing 6 white marbles and 9 black marbles,

randomly draw 10 marbles, successively without replacement, and

record the number of white marbles drawn.

Chapter 8

4 ❯ McGraw-Hill’s 500 Statistics Questions

199. Calculate m for a binomial distribution with n = 8 repeated trials and probability of success p = 0.2. (Round your answer, as needed.)

(A) 1.13

(B) 1.28

(C) 1.6

(D) 6.4

5. Calculate s2 for a binomial distribution with n = 8 repeated trials and

probability of success p = 0.2. (Round your answer, as needed.)

(A) 1.13

(B) 1.28

(C) 1.60

(D) 6.40

6. Calculate s for a binomial distribution with n = 8 repeated trials and probability of success p = 0.2. (Round your answer, as needed.)

(A) 1.13

(B) 1.28

(C) 1.60

(D) 6.40

7. Calculate m for a binomial distribution with n = 15 repeated trials and

probability of success p = 0.9. (Round your answer, as needed.)

(A) 1.16

(B) 1.35

(C) 1.5

(D) 13.5

8. Calculate s2 for a binomial distribution with n = 15 repeated trials and

probability of success p = 0.9. (Round your answer, as needed.)

(A) 1.16

(B) 1.35

(C) 1.5

(D) 13.5

9. Calculate s for a binomial distribution with n = 15 repeated trials and

probability of success p = 0.9. (Round your answer, as needed.)

(A) 1.16

(B) 1.35

(C) 1.5

(D) 13.5

Binomial Distribution ❮ 65

10. Calculate m for a binomial distribution with n = 100 repeated trials and

probability of success p = 0.5. (Round your answer, as needed.)

(A) 100

(B) 50

(C) 25

(D) 5

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