Question

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)?

Answer #1

Suppose that there are 5 dollar bills in a box: three 1 dollar
bills, one 5 dollar bill and one 10 dollar bill. You are allowed to
pick up two bills at the same time from the box randomly. Let X
denote the money you get from this game. (a) What’s the support and
p.m.f. of X? (b) What’s the mean and variance of X?

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

There are 3 one dollar bills and 2 five dollar bills in your
left pocket and 5 one dollar bills and 1 five dollar bills in your
right pocket. You pick two bills at random from the left pocket and
put them in the right one. Then you randomly take two bills from
your right pocket
Probability that you move two dollars is? (Answer: 3/10)
Probability that you move six dollars is? (Answer:6/10)
Probability that you move ten dollars is?...

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.

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?

An urn contains five blue, six green and seven red balls. You
choose five balls at random from the urn, without replacement (so
you do not put a ball back in the urn after you pick it), what is
the probability that you chose at least one ball of each
color?(Hint: Consider the events: B, G, and R, denoting
respectively that there are no blue, no green and no red balls
chosen.)

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...

A box contains 10 red balls, 10 white balls, and 10 blue balls.
Five balls are selected at random, without replacement. Let X be
the number of colors will be missing from the selection. Determine
the probability mass function of X.

A box contains tickets labeled with the numbers {4, -2, 0, 3,
-5}. In 100 random draws with replacement from the box, the SE of
the sum of just the negative numbers on the tickets drawn is
closest to:
answer: 10 x 1.959
can someone please show how to get this answer + explain step by
step

Choose letters, one at a time and at random, notably
without replacement, from the word
STATISTICS, until precisely two T’s have been
drawn. Let X = the number of letters chosen.
Find the following:
Part A: E(X)
Part B: Var(X)

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