Question

1.Find the uniform probability distribution over the range (3<=x<=7; and make its graph

2.What is the types of probability distribution?(types of discrete and continuous)

Answer #1

Solution:

Here the uniform distribution is given by **f(x) = 1 / (b
- a +1)** where a<=x<=b so here we have a = 3 and b =
7.

Hence Uniform distribution is given by f(x) = 1 / (7 - 3 + 1) =
**1 / 5**

The graph is given by

**(b)** The type of probability distribution used
is descrete because we have descrete limits so we can map
probabilities to descrete values between 3 <=x<=7 as shown in
part a.

There is continuous uniform distribution which is having the distribution function as follows;

Best Luck !

Suppose that X has a continuous uniform distribution
over the interval 2.3≤x≤10.3. Determine
the following:
Find the probability mass distribution.
Evaluate the mean.
Evaluate the variance.
Evaluate the standard deviation.
Find P(7≤X)
Find the P(4≤X≤7)

Let X have a uniform distribution on the interval (7, 14). Find
the probability that the sum of 2 independent observations of X is
greater than 24.

a continuous random variable X has a uniform distribution for
0<X<40
draw the graph of the probability density function
find p(X=27)
find p(X greater than or equal to 27)

Consider X as a continuous uniform
distribution over the interval [-3, 3]. Let Y = X2

You are given the following Discrete Probability Distribution
p(x)
Row
x
P(x)
1
1
0.1
2
2
0.156
3
3
0.147
4
4
0.2
5
5
0.222
6
6
0.056
7
7
0.02
8
8
0.099
1
Provide the following:
Mean (Expected value)
Variance
Standard Deviation
Graph (Histogram) of the Probability Distribution

Let X have a uniform distribution on the interval (3, 13). Find
the probability that the sum of 2 independent observations of X is
greater than 24.

Question 2
Suppose that X has a discrete uniform distribution
f(x)={1/3, x=1,2,3
0, otherwise
A random sample of n=37 is selected from this population. Find
the probability that the sample mean is greater than 2.1 but less
than 2.4.
Express the final answer to four decimal places (e.g.
0.9876).
The probability is ???

1. Find the missing value indicated by (A) to make this a valid
discrete probability distribution.
x
-10
30
50
90
100
P(X=x)
0.05
0.10
0.25
0.15
A
2. Calculate the mean of the random variable associated with the
following discrete probability distribution. Do not round your
answer.
x
-1
0
1
P(X=x)
0.5
0.2
0.3

5. Suppose x is a random variable best described by a uniform
probability distribution with C=30 and D=110 Find P(X > 94)
6. Suppose x is a random variable best described by a uniform
probability distribution with C=40 and D=100 Find P(X < 88)
7. Suppose x is a uniform random variable with c = 30 and d =
110. Find P(x < 46).
11. High temperatures in a certain city for the month of August
follow a uniform distribution...

Answer the folowing questions :-
1. In the [-1.2] range a uniform random X variable is
given,
when Y=x^2+1 transformation is done
, what is The expected value of Y , E[Y] .
2. A continuous X variable is the Poisson distribution
, if The quadratic expected value of this distribution is E[X^2] =4
what is the variance of this distribution ،var(x) .

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 21 minutes ago

asked 24 minutes ago

asked 30 minutes ago

asked 39 minutes ago

asked 41 minutes ago

asked 46 minutes ago

asked 48 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago