The number of fish that a fisherman catches in a day is a Poisson random variable...
Please answer the following with all steps 9. When a fisherman catches a fish, it is a young one with probability 0.235 and it is returned to the water. On the other hand, an adult fish is kept to be eaten later. a. What is the probability that the fifth fish caught is the first young one? b. Suppose that the fisherman wants three fish to eat for lunch. What is the probability that the fisherman can stop for lunch...
Each time a fisherman casts his line, a fish is caught with probability p, independent of whether a fish is caught on any other cast of the line. The fisherman will fish all day until a fish is caught and then he will quit and go home. Let Ci denote the event that on cast i the fisherman catches a fish. Draw the tree for this experiment and find P[C1], P[C2], and P[Cn] as functions of p
The number of parking tickets given at UVic in a day is a Poisson random variable with a mean of 64. What is the approximate probability that the average number of tickets given over a sample of 121 days is greater than 63?
Each time a fisherman casts his line, a fish is caught with probability p, independent of whether a fish is caught on any other cast of the line. The fisherman will fish all day until a fish is caught and then he will quit and go home. Let Ci denote the event that on cast i the fisherman catches a fish. Draw the tree for this experiment and find P[C1], P[C2], and P[Cn] as functions of p. DO NOT POST...
Poisson Random Variables Part 1 A process is modeled by a random variable with density Poisson(k; 4.2). What is the probability that the process takes on the value 3?! What is the probability that the process takes on a value less than 6 ? Part 2 The number of defective products produced by a factory in one day is modeled by a random variable with density Poisson(k: 11.2). What is the probability that 9 defective products are produced in a...
The number of customers entering a store on a given day is Poisson distributed with mean 150 . The amount spent in the store by a customer is exponential with mean 200. The amount spent is independent from number of customers . Estimate the probability that the store takes in at least $20,000. Leave the answer in terms of the distribution of he standard normal random variable.
The number of storms in a good year is a Poisson random variable with mean 3, whereas in a bad year the number is Poisson with mean 5. The probability that next year will be a good year has probability 0.6 and being a bad year has probability 0.4. Find the expected value and variance of the number of storms next year.
4. Suppose that N is a random variable having a conditional Poisson distribution with ability mass function prob- 1 (log 3) PN(i) i 1,2,3,... 2 i (a) Show that the mean of N is 3 log 3 1.6479, 2 and the variance of N is 3(log 3)2 3 log 3 0.7427. 2 4 (b) Calculate the probability P(N -4I 20). (c) Use the Bienaymé-Chebyshev inequality to give a lower bound for the probability that N takes values within 2 standard...
The number of breakdowns Y per day for a certain machine is a Poisson random variable with mean A. The daily cost of repairing these breakdowns is given by C 3Y2. If Y, Y2, Y denote the observed number of breakdowns for n independently selected days, find an MVUE for E(C). The number of breakdowns Y per day for a certain machine is a Poisson random variable with mean A. The daily cost of repairing these breakdowns is given by...
Assume that the number of network errors experienced in a day on a local area network (LAN) is distributed as a Poisson random variable. The mean number of network errors experienced in a day is 2.5. Complete parts (a) through (d) below. a. What is the probability that in any given day zero network errors will occur?b. What is the probability that in any given day, exactly one network error will occur?c. What is the probability that in any given day, two or more...