Question

Gloria and Steven are supposed to meet at 2 pm. The number of hours Gloria is...

Gloria and Steven are supposed to meet at 2 pm. The number of hours Gloria is late is distributed uniformly over (0,1). The number of hours Steven is late is distributed according to an exponential random variable with parameter 2. Their respective delays are supposed to be independent. Let X be the time at which Gloria and Steven actually meet (in number of hours after 2 pm).

A) Find the cumulative distribution function of X.

B) Use it to calculate the probability density function of X.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

I HOPE THIS ANSWER IS HELPFULL TO YOU......IF YOU HAVE ANY QUERY ASK ME IN THE COMMENT BOX,I AM HERE TO HELPS YOU.

**PLEASE GIVE ME "LIKE".....ITS VERY IMPORTANT FOR,ME......PLEASE SUPPORT ME .......THANK YOU

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
TRUE or FALSE? Do not explain your answer. (a) If A and B are any independent...
TRUE or FALSE? Do not explain your answer. (a) If A and B are any independent events, then P(A ∪ B) = P(A) + P(B). (b) Every probability density function is a continuous function. (c) Let X ∼ N(0, 1) and Y follow exponential distribution with parameter λ = 1. If X and Y are independent, then the m.g.f. MXY (t) = e t 2 /2 1 1−t . (d) If X and Y have moment generating functions MX and...
5. Bob is supposed to take an exam. There are 5 questions and the event that...
5. Bob is supposed to take an exam. There are 5 questions and the event that each question is correctly answered is 30% and those events are independent. Let X be a random variable for the number of correct answers that Bob will make. (a) Calculate P(X ≥ 1). (b) Calculate P(X = 2). (c) Obtain the cumulative distribution function for X. (d) Calculate the mean and the variance of X. 6. Ann and Bob play a simple game: each...
Solve this problem using excel: Delta Airlines quotes a flight time of 2 hours, 5 minutes...
Solve this problem using excel: Delta Airlines quotes a flight time of 2 hours, 5 minutes for itsflights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours,20 minutes. a. Show the graph of the probability density function for flight time b. what is the probability that the flight will be no more than 5 minutes late c. what is the probability that the flight will be more than 10...
1. (a) Y1,Y2,...,Yn form a random sample from a probability distribution with cumulative distribution function FY...
1. (a) Y1,Y2,...,Yn form a random sample from a probability distribution with cumulative distribution function FY (y) and probability density function fY (y). Let Y(1) = min{Y1,Y2,...,Yn}. Write the cumulative distribution function for Y(1) in terms of FY (y) and hence show that the probability density function for Y(1) is fY(1)(y) = n{1−FY (y)}n−1fY (y). [8 marks] (b) An engineering system consists of 5 components connected in series, so, if one components fails, the system fails. The lifetimes (measured in...
1             Let X be an accident count that follows the Poisson distribution with parameter of 3....
1             Let X be an accident count that follows the Poisson distribution with parameter of 3. Determine:                                                                                                                                                                                                                            a             E(X)                                                                                                                                                              b             Var(X)                                                                                                                                                          c             the probability of zero accidents in the next 5 time periods                d             the probability that the time until the next accident exceeds n                e             the density function for T, where T is the time until the next accident                                                                                                                                                       2             You draw 5 times from U(0,1). Determine the density function for...
a) At a party, seven people meet to tell each other on the weekday they has...
a) At a party, seven people meet to tell each other on the weekday they has their birthday. Make reasonable assumptions and calculate the probability that everyone have different weekday as birth day. b) Select an integer between 0 and 999 at random with equal probability for each number. What is the probability that the number contains the number 4 at least once? c) A random variable X is binomial distributed, X ∼ Bin (2, p). We know that P...
For this question, you may (where appropriate) write down an Excel formula using one of the...
For this question, you may (where appropriate) write down an Excel formula using one of the functions listed below instead of providing a numerical answer. However, you must specify clearly the value of each parameter in the Excel function (you may use the 2010 or the 2007 version). If you choose to provide a numerical answer, it should be accurate to 3 significant figures. (a) Let F denote the cumulative distribution function (cdf) of a uniformly distributed random variable X....
Assume that you have three four-sided dice with number 1, 2, 3, and 4 on the...
Assume that you have three four-sided dice with number 1, 2, 3, and 4 on the four sides and let denote by X the sum of the numbers shown on their bottom side. Write downand sketch the probability mass function and the cumulative distribution function of X.
Let W be a random variable giving the number of heads minus the number of tails...
Let W be a random variable giving the number of heads minus the number of tails in three independent tosses of an unfair coin where p = P(H) = 1 3 , and q = P(T) = 2 3 . (a) List the elements of the sample space S for the three tosses of the coin and to each sample point assign a value of W. (b) Find P(−1 ≤ W < 1). (c) Draw a graph of the probability...
Let us assume that the number N of children in a given family follows a Poisson...
Let us assume that the number N of children in a given family follows a Poisson distribution with parameter . Let us also assume that for each birth, the probability that the child is a girl is p 2 [0; 1], and that the probability that the child is a boy is q = 1?p. Let us nally assume that the genders of the successive births are independent from one another. Let X be the discrete random variable corresponding to...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT