Question

QUESTION 1

The expected value of a discrete random variable is:

A)The mean

B)The standard deviation

C) The probability of success

D) The variance

QUESTION 2

Expected value is:

A)A measure of dispersion

B) A measure of central location

C)A measure of distance from the mean

D)None of the above

QUESTION 3

In combinations,

A)n represents the number of objects, x represents multiply

B)n represents nothing, x represents the number of elements

C)n represents the total number of objects, x represents the number of objects we want to select out of the total.

D)None of the above

QUESTION 4

When calculating factorials,

A)0! = 1

B)0!=0

C)0!=2

D)0!=3

QUESTION 5

When calculating factorials:

A)1!=0

B)1!=1

C)1!=2

D)1!=3

QUESTION 6

Seven factorial is:

A)7*6*5*3

B)7*6*5*4

C)7*6*5*4*3

D 7*6*5*4*3*2*1

QUESTION 7

In the binomial probability distribution, p is the probability of success. What letter represents the probability of failure?

A)n

B)o

C)p

D)q

QUESTION 8

q is the probability of failure in a binomial probability distribution. We can calculate q as:

A)1-p

B)1-x

C)1-q

D)None of the above

QUESTION 9

In the binomial distribution, the mean is the expected value and is represented by mu. We calculate it as:

A)E(x)=nq

B)E(x) = np

C)E(x) = npq

D)E(x)=square root of n p q end root

QUESTION 10

In the binomial distribution, the formula for the variance is:

A)npq

B)np

C)square root of n p q end root

D)None of the above

Answer #1

find the mean, variance and standard deviation for the binomial
distribution below.
a) 10 coin flips, x- number of heads. use formula np, npq
b) 5 dice rolls, x= number of sixes. use formula np, npq
c) 10 item multiple choice quiz (a,b,c,d), x = number correct
while guessing. use formula np, npq
d) would it be unusual to get a passing grade (6 or more
correct) on a 10 item quiz, as described above, when guessing? use
formula np,...

For a discrete random variable, the probability of the random
variable takes a value within a very small interval must be
A.
zero.
B.
very small.
C.
close to 1.
D.
none of the above.
QUESTION 10
The area under the density function in a certain interval of a
continuous random variable represents
A.
randomness.
B.
the area of one rectangle.
C.
the probability of the interval.
D.
none of the above.
QUESTION 11
For any random variable, X, E(X)...

Part 1-
A binomial distribution has mean or expected value μ, where μ =
np. What will be the expected value of number of left-handed people
in a sample of 200, if the probability of one of them being
left-handed is 22%?
Part 2-
A binomial distribution has a standard deviation of σ, where
where σ = npq and where n is sample size, p is probability of
success and q is the probability of failure. (Whatever is asked
about...

Question 7) Suppose X is a Normal random variable with with
expected value 31 and standard deviation 3.11. We take a random
sample of size n from the distribution of X. Let X be the sample
mean. Use R to determine the following:
a) Find the probability P(X>32.1):
b) Find the probability P(X >32.1) when n = 4:
c) Find the probability P(X >32.1) when n = 25:
d) What is the probability P(31.8 <X <32.5) when n =
25?...

Let X be a binomial random variable with n = 10 and p = 0.2.
Find the following values. (Round your answers to three decimal
places.) (a) P(X = 4) (b) P(X ≥ 4) (c) P(X > 4) (d) P(X ≤ 4) (e)
μ = np μ = 2.00 (correct) (f) σ = npq σ = 1.265 (correct)

2.
The incomplete
probability distribution table at the right is of the discrete
random variable x representing the number of times people
donate blood in 1 year. Answer the following:
x
P(X=x)
(a)
Determine the
value that is missing in the table. (Hint: what are the
requirements for a probability distribution?)
0
0.532
1
0.124
2
0.013
(b)
Find the
probability that x is at least 2 , that is find
P(x ≥ 2).
3
0.055
4
0.129
5
(c)...

If x is a binomial random variable, compute the mean,
the standard deviation, and the variance for each of the following
cases:
(a)
n=4,p=0.7
μ=
σ2=
σ=
(b)
n=3,p=0.7
μ=
σ2=
σ=
(c)
n=5,p=0.4
μ=
σ2=
σ=
(d)
n=5,p=0.8
μ=
σ2=
σ=

1)For a binomial distributions, what is the value for the
variance of X.
Group of answer choices
Var(X) = p(1-p)
Var(X) = p^2
Var(X) = np(1-p)
2) let X follow a binomial distribution with n = 15 and p =
0.32.
What is the probability of seeing 6 successes?
Group of answer choices
0.1670
0.8278
0.2130
3)
Let X follow a binomial distribution with n = 15 and p =
0.32.
What is the probability of seeing more than 9...

1) Suppose a random variable, x, arises from a binomial
experiment. Suppose n = 6, and p = 0.11.
Write the probability distribution. Round to six decimal places,
if necessary.
x
P(x)
0
1
2
3
4
5
6
Find the mean.
μ =
Find the variance.
σ2 =
Find the standard deviation. Round to four decimal places, if
necessary.
σ =
2) Suppose a random variable, x, arises from a binomial
experiment. Suppose n = 10, and p =...

Question 1
Refer to the probability function given in the following table
for a
random variable X that takes on the values 1,2,3 and 4
X 1 2 3 4
P(X=x) 0.4 0.3 0.2 0.1
a) Verify that the above table meet the conditions
for being a discrete probability
distribution
b) Find P(X<2)
c) Find P(X=1 and X=2)
d) Graph P(X=x)
e) Calculate the mean of the random variable
X
f) Calculate the standard deviation of the random
variable X...

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