Question
In: Statistics and Probability
Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a...
Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a play. For this problem, assume 9 males audition, one of them being Wayne, 6 females audition, one of them being Lorraine, and 5 children audition. The casting director has 4 male roles available, 2 female roles available, and 1 child role available.
(1) How many different ways can these roles be filled from these auditioners?
(2) How many different ways can these roles be filled if exactly one of Wayne and Lorraine gets a part?
(3) What is the probability (if the roles are filled at random) of both Wayne and Lorraine getting a part?
Solutions
orchestra answered 2 years agoRelated Solutions
Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a...
Rework problem 35 from the Chapter 2 review exercises in your
text, involving auditioning for a play. For this problem, assume 11
males audition, one of them being Seamus, 4 females audition, one
of them being Nisha, and 5 children audition. The casting director
has 4 male roles available, 2 female roles available, and 2 child
roles available.
(1) How many different ways can these roles be filled from these
auditioners?
(2) How many different ways can these roles be...
Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a...
Rework problem 35 from the Chapter 2 review exercises in your
text, involving auditioning for a play. For this problem, assume 13
males audition, one of them being Karthikey, 7 females audition,
one of them being Tiffany, and 5 children audition. The casting
director has 4 male roles available, 2 female roles available, and
1 child role available.
(1) How many different ways can these roles be filled from these
auditioners?
(2) How many different ways can these roles be...
Rework problem 24 from section 3.2 of your text, involving the subcommittee. For this problem, assume...
Rework problem 24 from section 3.2 of your text, involving the
subcommittee. For this problem, assume that the committee contains
6 men and 8 women and that three are selected at random for a
subcommittee. What is the probability that the subcommittee
consists of 2 men and 1 woman, given that it contains both men and
women?
(1 point) Rework problem 17 from section 3.2 of your text, involving the sum of the...
(1 point) Rework problem 17 from section 3.2 of your text,
involving the sum of the numbers showing on two fair six-sided
dice.
(1) What is the probability that exactly one die shows a 5 given
that the sum of the numbers is 10?
(2) What is the probability that the sum of the numbers is 10
given that exactly one die shows a 5?
(3) What is the probability that the sum of the numbers is 10
given that...
(1 point) Rework problem 27 from section 3.2 of your text, involving the mice in a...
(1 point) Rework problem 27 from section 3.2 of your text,
involving the mice in a cage. For this problem, assume there are 6
grey females, 6 grey males, 5 white females, and 3 white males. As
in the book, the biologist selects two mice randomly.
(1) What is the probability of selecting two males given that
both are grey?
(2) What is the probability of selecting one male and one female
given that both are grey?
Rework problem 25 from section 3.2 of your text, involving choosing freshmen, sophomores, and juniors. For...
Rework problem 25 from section 3.2 of your text, involving
choosing freshmen, sophomores, and juniors. For this problem,
assume that three students are chosen from 3 freshmen, 6
sophomores, and 5 juniors. What is the probability of selecting 2
freshmen and 1 junior given that at least one freshman will be
selected?
Rework problem 13 from section 3.2 of your text, involving Example 3.9, with the changes described...
Rework problem 13 from section 3.2 of your text, involving
Example 3.9, with the changes described below. Suppose you have a
bag containing one black ball numbered 1, six white balls numbered
2, 3, 4, 5, 6, 7, and seven red balls numbered 8, 9, 10, 11, 12,
13, 14. Fill each of the following blanks with a Y for yes or an N
for no: (1) Is the event "drawing a black ball" independent from
the event "drawing an...
(1 point) Rework problem 29 from section 2.3 of your text, involving the selection of officers...
(1 point) Rework problem 29 from section 2.3 of your text,
involving the selection of officers in an advisory board. Assume
that you have a total of 11 people on the board: 5 out-of-state
seniors, 2 in-state seniors, 2 out-of-state non-seniors, and 2
in-state non-seniors. University rules require that at least one
in-state student and at least one senior hold one of the three
offices. Note that if individuals change offices, then a different
selection exists.
In how many ways...
(1 point) Rework problem 11 from section 3.4 of your text, involving the flipping of either...
(1 point) Rework problem 11 from section 3.4 of your text,
involving the flipping of either a fair or weighted coin. Assume
that the weighted coin yields a heads with probability 0.2. You
select one of the two coins at random, and flip it 3 times, noting
heads or tails with each flip.
What is the probability that the weighted coin was selected,
given that all 3 flips turned up heads?
Rework problem 17 from section 1.4 of your text, involving a product code. Assume that product...
Rework problem 17 from section 1.4 of your text,
involving a product code. Assume that product codes are formed from
the letters W, V, and R, and consist of 4 not necessarily distinct
letters arranged one after the other. For example, WWVV is a
product code.
(1) How many different product codes are
there?
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(2) How many different product codes do not contain
W?
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Equation Editor
(3) How many different product codes contain exactly...
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