Binomial Distribution Discussion Solutions

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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