Question

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 (µ) and variance of this population (σ2)?

Answer #1

A box contains 20 blue and 20 red chips. A chip is drawn and
then replaced. Then another chip is drawn. What is the probability
that 2 blue chips will be drawn?
A. 1/2
B.1/3
C.1/4
D. 2/3

Suppose you roll two twenty-sided dice, like the one I gave you
in class today. Let X1,X2 the outcomes of the rolls of these two
fair dice which can be viewed as a random sample of size 2 from a
uniform distribution on integers.
a) What is population from which these random samples are drawn?
Find the mean (µ) and variance of this population (σ2)? Use a Word
File to show your calculations and results.

A box contains two tickets, one marked “+2” and the other one
“+4”. One hundred random draws are made with replacement, and the
sum of the draws is computed.
(a) What is the EV of the sum?
(b) What is the SE of the sum?
(c) The sum of the draws will be around _______, give or take
_______ or so.

A box contains 5 blue, 10 green, and 5 red chips. We draw 4
chips at random and without replacement. If exactly one of them is
blue, what is the probability mass function of the number of green
balls drawn?

A box contains 30 pens numbered from 1 to 30. One pen
is drawn at random. Find the
probability that the number of the drawn pen is a multiple of (a) 5
or 7, (b) 3 or 7.

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

1.A bag contains 5blue, 4 red, and 3green marbles. Four
marbles are drawn at random from the bag. How many different
samples are possible which include exactly two red marbles?
2.A bag contains 5 blue, 3 red, and 4 green marbles. Four
marbles are drawn at random from the bag. How many different
samples are possible which include at least one marble of each
color

Suppose you roll two twenty-five-sided dice. Let X1, X2 the
outcomes of the rolls of these two fair dice which can be viewed as
a random sample of size 2 from a uniform distribution on
integers.
a) What is population from which these random samples are drawn?
Find the mean (µ) and variance of this population (σ 2 )? Show your
calculations and results.
b) List all possible samples and calculate the value of the
sample mean ¯(X) and variance...

1. Suppose that a bag contains 3 red chips and 7 white chips.
Suppose that chips are drawn from the bag with replacement, i.e.
the chips are returned to the bag and shuffled before the next chip
is selected. Identify the correct statement.
a.
If many chips are selected then, in the long run, approximately
30% will be red.
b.
If ten chips are selected then three will definitely be red.
c.
If seven consecutive white chips are selected then...

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