Question
In: Statistics and Probability
Show that the conditional distribution of X, given X+Y=u (a value with positive probability, is binomial...
Show that the conditional distribution of X, given X+Y=u (a value with positive probability, is binomial with parameters (u, λ1/(λ1+λ2)
Solutions
orchestra answered 2 years agoRelated Solutions
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X=6), n=10 , p=0.5
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X≤4), n=7, p=0.6
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given the number of trials and the probability of
obtaining a success. Round your answer to four decimal places.
P(X=14), n=15, p=0.7
How can you demonstrate that the probability of X successes in a binomial distribution is given...
How can you demonstrate that the probability of X successes in a
binomial distribution is given by P(X=x)=nCx p^x q^(n-x)
Suppose the joint probability distribution of X and Y is given by the following table. Y=>3...
Suppose the joint probability distribution of X and Y is given
by the following table.
Y=>3 6 9 X
1 0.2 0.2 0
2 0.2 0 0.2
3 0 0.1 0.1
The table entries represent the probabilities. Hence the
outcome [X=1,Y=6] has probability
0.2.
a) Compute E(X), E(X2), E(Y), and E(XY). (For all answers show
your work.) b) Compute E[Y | X = 1], E[Y | X = 2], and E[Y | X =
3].
c) In this case, E[Y...
5. Calculate the conditional probability distribution
| | a1 | a2 |
|----|------|------|
| b1 | 0.37 | 0.16 |
| b2 | 0.23 | ? |
5. Calculate the conditional probability distribution,
?(?|?)P(A|B).
6. Calculate the conditional probability distribution,
?(?|?)P(B|A).
7. Does ?(?|?)=?(?|?)P(A|B)=P(B|A)? What do we call the belief
that these are always equal?
8. Does ?(?)=?(?|?)P(A)=P(A|B)? What does that mean about the
independence of ? and B?
If the joint probability distribution of X and Y f(x, y) = (x + y)/2
If the joint probability distribution of X and Y f(x, y) = (x + y)/2, x=0,1,2,3; y=0,1,2, Compute the following a. P(X≤2,Y =1) b. P(X>2,Y ≤1) c. P(X>Y) d. P(X+Y=4)
A.) A binomial probability experiment is conducted with the given parameters. Compute the probability of x...
A.)
A binomial probability experiment is conducted with the given
parameters. Compute the probability of x successes in the n
independent trials of the experiment. n=12 p=0.3 x=3
B.) A binomial probability experiment is conducted with
the given parameters. Compute the probability of x successes in the
n independent trials of the experiment. n=20 p= 0.05
x=12
C.) A binomial probability experiment is conducted with
the given parameters. Computers the probability of x successes in
the n independent trials of...
You are given the joint probability distribution: (x+2y)/30 for x = 1, 2 and y =...
You are given the joint probability distribution: (x+2y)/30 for
x = 1, 2 and y = 2, 4.
Calculate Var(5X – 4Y).
Show how to compute the conditional probability of a straight flush given that the first two...
Show how to compute the conditional probability of a straight
flush given that the first two cards you are dealt are the 9 and 10
of hearts.
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Part I– Check your file system Step 1: Execute the ls /dev/sd* command to see the...
- import java.util.Scanner; import java.util.Arrays; /* You have 3 small methods to write for this exam; public...
- [The following information applies to the questions displayed below.] At the beginning of the year, Plummer's...
- In sql: Write a query to produce a listing of unique vendor names who have at...
- A compound of molecular formula C7H13Br is a tertiary bromide, is optically inactive, and has one...
- Universal Technologies, Inc. has identified two qualified vendors with the capability to supply some of its...
- You are driving along straight road. You cover 200 miles in 4 hours? Does that mean...
ADVERTISEMENT