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Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at...
Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at...
Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at a local health-food restaurant. Let X = Annie's arrival time and Y = Alvie's arrival time. Suppose X and Y are independent with each uniformly distributed on the interval [5, 6]. Given: f(x)={1 for (5 <= x <= 6) , (5 <= y <= 6) 0 anywhere else (c) If the first one to arrive will wait only 20 min before leaving to eat...
Ex. 10 Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at a local health-food restaurant. Let X = Annie's arrival time and Y= Alvie's arrival time. Suppose X and Yare independent with each uniformly distributed on the interv
Ex. 10Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at a local health-food restaurant. Let X = Annie's arrival time and Y= Alvie's arrival time. Suppose X and Yare independent with each uniformly distributed on the interval [5, 6].a. What is the joint pdf of X and Y?b. What is the probability that they both arrive between 5:15 and 5:45?c. If the first one to arrive will wait only 10 min before leaving...
Marc and Jane have agreed to meet for lunch between noon and 1:00 p.m. Denote Jane's...
Marc and Jane have agreed to meet for lunch between noon and 1:00 p.m. Denote Jane's arrival time from noon by X, Marc's by Y, and suppose X and Y are independent with probability density functions. Mariginal pdf of X: 10x^9 0<x<1 Marginal pdf of Y: 7y^6 0<y<1 Find the expected amount of time Jane would have to wait for Marc to arrive. Round your answer to 4 decimal places. *Please show steps, this was a two part problem but...
Need to show work 12. Two friends have arranged to meet for dinner at a restaurant....
Need to show work
12. Two friends have arranged to meet for dinner at a restaurant. Each person arrives indepen- dently of the other, with equal probability, at one of the following times: 6:30 PM, 7:00 PM, or 7:30 PM. Let X - the time, in minutes, that the first person to arrive has to wait for the other to arrive (hint: if both parties arrive at the same time, then X takes the value 0.) (a) What is the...
The arrival time t(in minutes) of a bus at a bus stop is uniformly distributed between 10:00 A.M. and 10:03 A.M.
The arrival time t(in minutes) of a bus at a bus stop is uniformly distributed between 10:00 A.M. and 10:03 A.M. (a) Find the probability density function for the random variable t. (Let t-0 represent 10:00 A.M.) (b) Find the mean and standard deviation of the the arrival times. (Round your standard deviation to three decimal places.) (с) what is the probability that you will miss the bus if you amve at the bus stop at 10:02 A M ? Round your answer...
4. Assume that the length of time between charges of a particular cell phone is normally...
4. Assume that the length of time between charges of a particular cell phone is normally distributed with a mean of 8 hours and a standard deviation of 2 hours. Find the probability that the cell phone will last between 5 and 10 hours between charges. 5. Let X be a continuous random variable with the density function f(x) given by f(0) = 2/8 for 0 < x < 4, and f(1) = 0 otherwise. Find the mean p. 6....
Let X be a continuous random variable with the following probability density function f 0 <...
Let X be a continuous random variable with the following probability density function f 0 < x < 1 otherwise 0 Let Y = 10 X: (give answer to two places past decimal) 1. Find the median (50th percentile) of Y. Submit an answer Tries 0/99 2. Compute p (Y' <1). Submit an answer Tries 0/99 3. Compute E (X). 0.60 Submit an answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous attempts...
Can you solve 12 Thus, the expected time waiting is 5/6 hours (or 50 minutes) (Note...
Can you solve 12
Thus, the expected time waiting is 5/6 hours (or 50 minutes) (Note that it is wrong to reason like this: Alice expects to arrive at 12:30, Bob expects to arrive at 1:00: thus, we expeet that Bob will wait 30 mimutes for Alice.) (b). We want to compute the probability that Bob has to wait for Alice, which is P(Y < X), which we do by integrating the joint density, f(r,y), over the region where <...
Let the joint probability density function for (X, Y) be f(x,y) s+y), x>0, y>0, 7r+yCT, 0...
Let the joint probability density function for (X, Y) be f(x,y) s+y), x>0, y>0, 7r+yCT, 0 otherwise. a. Find the probability P(X< Y). Give your answer to 4 decimal places. 28 Submit Answer Tries 0/5 b. Find the marginal probability density function of X, fx(x). Enter a formula in the first box, and a number for the second and the third box corresponding to the range of x. Use * for multiplication, / for division and л for power. For...
Suppose the number of cars pulling into a certain convenience store between 2:00 and 3:00 am on weeknights approximatel...
Suppose the number of cars pulling into a certain convenience store between 2:00 and 3:00 am on weeknights approximately follows a Poisson distribution with X = 2.8 On a randomly selected weeknight, what is the probability fewer than 1 cars pull in between 2:00 and 3:00 am? Round your answer to at least 3 decimal places. Number > 3.2 , based on a random sample of 73 observations drawn from a Test the null hypothesis HO : = 3.2against the...
Need to show work
12. Two friends have arranged to meet for dinner at a restaurant. Each person arrives indepen- dently of the other, with equal probability, at one of the following times: 6:30 PM, 7:00 PM, or 7:30 PM. Let X - the time, in minutes, that the first person to arrive has to wait for the other to arrive (hint: if both parties arrive at the same time, then X takes the value 0.) (a) What is the...
4. Assume that the length of time between charges of a particular cell phone is normally distributed with a mean of 8 hours and a standard deviation of 2 hours. Find the probability that the cell phone will last between 5 and 10 hours between charges. 5. Let X be a continuous random variable with the density function f(x) given by f(0) = 2/8 for 0 < x < 4, and f(1) = 0 otherwise. Find the mean p. 6....
Let X be a continuous random variable with the following probability density function f 0 < x < 1 otherwise 0 Let Y = 10 X: (give answer to two places past decimal) 1. Find the median (50th percentile) of Y. Submit an answer Tries 0/99 2. Compute p (Y' <1). Submit an answer Tries 0/99 3. Compute E (X). 0.60 Submit an answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous attempts...
Can you solve 12
Thus, the expected time waiting is 5/6 hours (or 50 minutes) (Note that it is wrong to reason like this: Alice expects to arrive at 12:30, Bob expects to arrive at 1:00: thus, we expeet that Bob will wait 30 mimutes for Alice.) (b). We want to compute the probability that Bob has to wait for Alice, which is P(Y < X), which we do by integrating the joint density, f(r,y), over the region where <...
Let the joint probability density function for (X, Y) be f(x,y) s+y), x>0, y>0, 7r+yCT, 0 otherwise. a. Find the probability P(X< Y). Give your answer to 4 decimal places. 28 Submit Answer Tries 0/5 b. Find the marginal probability density function of X, fx(x). Enter a formula in the first box, and a number for the second and the third box corresponding to the range of x. Use * for multiplication, / for division and л for power. For...
Suppose the number of cars pulling into a certain convenience store between 2:00 and 3:00 am on weeknights approximately follows a Poisson distribution with X = 2.8 On a randomly selected weeknight, what is the probability fewer than 1 cars pull in between 2:00 and 3:00 am? Round your answer to at least 3 decimal places. Number > 3.2 , based on a random sample of 73 observations drawn from a Test the null hypothesis HO : = 3.2against the...
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