Slips of paper with the numbers 2, 4, 6, and 8 are placed into a
hat....
Slips of paper with the numbers 2, 4, 6, and 8 are placed into a
hat. A slip is drawn, recorded,
and then returned to the hat. Then, a second slip is drawn and
recorded. Use this description
to find:
i) The probability that the sum of the two drawn slips is at least
13
ii) The probability that the slips are the same number
iii) Whether the events described in (i) and (ii) are mutually
exclusive. (Explain)
iv) The...
Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6,
and 7...
Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6,
and 7 are placed in a box and mixed well.
Two are drawn.
What are the odds that the sum of the numbers on the two selected
slips is not 6?
A box contains four slips of paper marked 9, 10, 11, and 12. Two
slips are...
A box contains four slips of paper marked 9, 10, 11, and 12. Two
slips are selected without replacement. List the possible values
for each of the following random variables shown below:
(a) x = sum of the two numbers
20, 21, 23, 24, 26
20, 22, 24, 26, 28
9, 10, 11, 12, 13
19, 20, 21, 22, 23
19, 21, 23, 25, 27
(b) y = difference between the first and second
numbers
-3, -1, 1, 3
-5,...
Slips of paper are placed in a large hat and thoroughly mixed.
Ten slips bear the...
Slips of paper are placed in a large hat and thoroughly mixed.
Ten slips bear the number 1, 20 slips bear the number 2, 30 slips
bear the number 3, and 5 slips bear the number 4. What is the
probability of drawing
(a) A 1?
(b) A 2?
(c) A 3?
(d) A 4?
(e) A 1 or a 4?
(f) A 1 or a 2 or a 3 or a 4?
(g) A 5?
(h) A 2 and...
A box contains four slips of paper numbered 1, 2, 3 and 4. You
are to...
A box contains four slips of paper numbered 1, 2, 3 and 4. You
are to select 2 slips without replacement. Consider the random
variables:
M = the maximum of the two slips,
D = the absolute difference between the slips.
P_1= payout 1 = M -YD +
2
P_2= payout 2=MD
a) What is the expected value of payout 2?
b)If M and D are as expected and Y ~
Uniform(0, a) , what is the probability payout 1...
A bowl contains four balls numbered 1,2,3,4. If two balls are
randomly drawn from the bowl,...
A bowl contains four balls numbered 1,2,3,4. If two balls are
randomly drawn from the bowl, without replacment , and the random
variable X is the sum of the numbers on the two balls drawn.
a) Find the probabiltiy density function.
b) Find P(x>3)
c) Determine the expected value and the standard deviation.
A box contains four slips of paper marked 1, 2, 3, and 4. Two
slips are...
A box contains four slips of paper marked 1, 2, 3, and 4. Two
slips are selected without replacement. List the possible values
for each of the following random variables shown below:
(a) z = number of slips selected that show an even
number
A. 1 , 2
B. 0 , 2
C. 2 , 4
D. 0 , 1 , 2 (correct answer)
E. 0 , 1
(b) w = number of slips selected that show a 2
A....
The lottery balls with the numbers 1, 2, 3, 4, 5, and 6 written
on them...
The lottery balls with the numbers 1, 2, 3, 4, 5, and 6 written
on them are placed in a container and well mixed, so that when
drawing a ball, each ball in the container is equally likely. What
is the probability that two balls with the same parity are drawn,
if: (a) Two balls are drawn from the six balls without replacement?
(b) Two balls are drawn from the six balls with replacement? For
each part, express the set...
Two tickets are drawn from a box with 5 tickets numbered as
follows: 1,1,3,3,5. If the...
Two tickets are drawn from a box with 5 tickets numbered as
follows: 1,1,3,3,5. If the tickets are drawn with replacement, find
the probability that the first ticket is a 1 and the second ticket
is a 5. If the tickets are drawn without replacement, find the
probability that the first ticket is a 1 and the second ticket is a
3. If the tickets are drawn without replacement, find the
probability that the first ticket is a 1 and...
A box contains 5 chips marked 1,2,3,4, and 5. One chip is drawn
at random, the...
A box contains 5 chips marked 1,2,3,4, and 5. One chip is drawn
at random, the number on it is noted, and the chip is replaced. The
process is repeated with another chip. Let X1,X2, and X3 the
outcomes of the three draws which can be viewed as a random sample
of size 3 from a uniform distribution on integers. a [10 points]
What is population from which these random samples are drawn? Find
the mean (ยต) and variance of...