Question

An urn contains nine $1 bills and one $20 bill. Let the random
variable X be the total amount that results when two bills are
drawn from the urn without replacement.

(a) Describe the sample space S of the random experiment and
specify the brobabilities of its elementary events.

(b) Show the mapping from S to Sx, the range of X.

(c) Find the prababilities for the various valuses of X.

(d) What is the prabability that the amount is more than $2? And
more than $20?

(e) Find the expected value and variance of the amount drawn from
the urn.

Answer #1

An urn contains 2 one-dollar bills, 1 five-dollar bill and 1 ten-dollar bill. A player draws bills one at a time without
replacement from the urn until a ten-dollar bill is drawn. Then
the game stops. All bills are kept by the player. Determine: (A)The probability of winning $17. ?(B)??The probability of
winning all bills in the urn. C)The probability of the game
stopping at the second draw.

An urn contains 3 one-dollar bills, 1 five-dollar bill and 1
ten-dollar bill. A player draws bills one at a time without
replacement from the urn until a ten-dollar bill is drawn. Then
the game stops. All bills are kept by the player. Determine:
(A) The probability of winning $10.
(B) The probability of winning all bills in the urn.
(C) The probability of the game stopping at the second
draw

A bag contains six 1 dollar bills, three 5 dollar
bills, and two 10 dollar bills. An experiment consists of drawing
three random bills from the bag simultaneously. Thus, the
experiment has C(11,3)=165 equally likely outcomes in its sample
space.
What is the probability that at most one 5 dollar bill was drawn,
given that no 10 dollar bills were drawn?

A box contains 4 one-dollar bills and 3 five-dollar bills. You
choose six bills at random and without replacement from thte box.
Let X be the amount you get. What is Var(X)?

1. An experiment consists of drawing balls from an urn which
contains 2 red balls, one white ball, and one
blue ball. The balls are drawn, without replacement, until
either a blue ball has been drawn or two different
colors have been drawn. If an outcome of this experiment
consists of an ordered list of the colors of the
balls drawn, how may outcomes exist?
2. An experiment consists of repeatedly drawing a ball from an
urn which contains 3...

Let m ≥ 3. An urn contains m balls labeled 1, . . . , m. Draw
all the balls from the urn one by one without replacement and
observe the labels in the order in which they are drawn. Let Xj be
the label of the jth draw, 1 ≤ j ≤ m. Assume that all orderings of
the m draws are equally likely. Fix two distinct labels a, b ∈ {1,
. . . , m}. Let
N...

1) Let X be a binomial random variable with p = 0.55, and n= 40.
Find the probability
that X is more than 2 standard deviations from the mean of X.

One card is drawn from a deck of 20 cards numbered 1 through 20.
Find the probability of each scenario. (Enter your probabilities as
fractions.)
(a) The card drawn is odd and divisible by 4.
(b) The card drawn is odd or divisible by 4.
In a game where only one player can win, the probability that
Jack will win is 1/3 and the probability that Bill will win is 1/7.
Find the probability that one of them will win....

1. A coin is tossed 3 times. Let x be the random discrete
variable representing the number of times tails comes up.
a) Create a sample space for the event;
b) Create a probability distribution table for the discrete
variable
x;
c) Calculate the expected value for x.
2. For the data below, representing a sample of times (in
minutes) students spend solving a certain Statistics problem, find
P35, range, Q2 and IQR.
3.0, 3.2, 4.6, 5.2 3.2, 3.5...

Answer the following:
1. A number is
drawn at random from the set {1,2,3...40}. find the probability
that the number chosen is:
a) A multiple of 2 and a
multiple of 5;
b) Ad multiple of 2 or a
multiple of 5; and a
c) A multiple of 3
but not a multiple of 5.
2. A fair die is
tossed three times. Find the probability of getting:
a. A three
4's
b. Three 5's
c. Three 4's or
three 5's
A.Find the area under the standard normal...

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