Question

Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not.

x | −2 | 6 | 7 |
---|---|---|---|

P(X=x) | −1/4 | 1/2 |
3/4 |

First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.

Yes No

Reason

Since the probabilities lie inclusively between 0 and 1 and the sum of the probabilities is equal to 1 .

Since at least one of the probability values is greater than 1 or less than 0.

Since the sum of the probabilities is not equal to 1.

Since the sum of the probabilities is equal to 1.

Since the probabilities lie inclusively between 0 and 1.

Answer #1

**First, decide whether the distribution is a discrete
probability distribution, then select the reason for making this
decision.**

**Reason**

**Conditions for the discrete probability
distribution**

*1. Sum of probability must be equal to
one*

*2. The value of each probability must be between 0
and 1.*

*In the given problem _{ }is
less than 0. Hence the condition fails. Also, the probability
cannot be negative. The probability will always be a positive
number*

not. x −1 − 1 0 0 8 8 P(X=x) P ( X = x ) 34 3 4 38 3 8 58 5
8
Answer2 Points Keypad Tables First, decide whether the
distribution is a discrete probability distribution, then select
the reason for making this decision.
Decide Yes No
Reason Since the probabilities lie inclusively between 0 0 and 1
1 and the sum of the probabilities is equal to 1 1 . Since at least
one of the...

Determine whether or not the distribution is a discrete
probability distribution and select the reason why or why not.
x
7
8
10
P(X=x)
3/4
−1/2
3/4

Determine whether or not the table is a valid probability
distribution of a discrete random variable. Explain fully.
a.
x
-2
0
2
4
P(x)
0.3
0.5
0.2
0.1
b.
x
0.5
0.25
0.25
P(x)
-0.4
0.6
0.8
c.
x
1.1
2.5
4.1
4.6
5.3
P(x)
0.16
0.14
0.11
0.27
0.22

In the following probability distribution, the random variable
x represents the number of activities a parent of a
6th to 8th-grade student is involved in. Complete parts (a)
through (f) below.
x
0
1
2
3
4
P(x)
0.395
0.075
0.199
0.195
0.136
(a) Verify that this is a discrete probability
distribution.
This is a discrete probability distribution because the sum of
the probabilities is ___and each probability is ___ (Less than or
equal to 1; Greater than or equal...

Explain why the following is or is not a valid probability
distribution for the discrete random
variable x.
x
1
0
1
2
3
p(x)
.1
.2
.3
.3
.1

Consider the discrete probability distribution below. Mean of
this discrete probability distribution is _____________. Round to
one decimal place.
x
P ( x )
1
0.22
2
0.27
3
0.30
4
0.21

1. Given a discrete random variable, X , where the
discrete probability distribution for X is given on right,
calculate E(X)
X
P(X)
0
0.1
1
0.1
2
0.1
3
0.4
4
0.1
5
0.2
2. Given a discrete random variable, X , where the
discrete probability distribution for X is given on right,
calculate the variance of X
X
P(X)
0
0.1
1
0.1
2
0.1
3
0.4
4
0.1
5
0.2
3. Given a discrete random variable, X...

Is the following a probability model? What do we call the
outcome"yellow"?
Color----------------------Probability
red-------------------------0.25
green---------------------0.35
blue-----------------------0.1
brown--------------------0.15
yellow-------------------0
orange-----------------0.15
Is the table above an example of a probability model?
A. Yes, because the probabilities sum to 1 nbsp and they are
all greater than or equal nbsp and they are all greater than or
equal to 0 and less than or equal to 1.to 0 and less than or equal
to 1.
B.Yes comma because the probabilities sum to 1.Yes,...

Consider the probability distribution shown below.
x
0
1
2
P(x)
0.05
0.50
0.45
Compute the expected value of the distribution.
Consider a binomial experiment with
n = 7 trials
where the probability of success on a single trial is
p = 0.10.
(Round your answers to three decimal places.)
(a) Find
P(r = 0).
(b) Find
P(r ≥ 1)
by using the complement rule.
Compute the standard deviation of the distribution. (Round your
answer to four decimal places.)
A...

Determine whether each of the following is a probability
distribution. If not, identify the requirement that is not
satisfied.
(4)
a.
x
P(x)
0
0.309
1
0.232
2
-0.092
3
0.245
4
0.153
5
0.153
b. A police department reports that the probabilities that 0, 1,
2, 3, and 4 car thefts will be reported in a given day are 0.091,
0.218, 0.261, 0.209, and 0.125, respectively

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 36 minutes ago

asked 42 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago