The number of inquiries received in response to an ad placed on the Internet for a...
The number of inquiries received in response to an ad placed on the Internet for a house for sale is a Poisson-distributed random variable with λ = 4.4 . What are the probabilities that the seller will receive a. only two inquiries; b. only three inquiries; and, c. at most three inquiries?
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The number of inquiries received in response to an ad placed on
the Internet for a...
The number of loan applications that a bank gets per day is a Poisson-distributed random variable...
The number of loan applications that a bank gets per day is a Poisson-distributed random variable with λ = 7.5. What are the probabilities that on any given day the bank will receive a. exactly six applications; b. at most four applications; c. at least eight applications; and, d. anywhere from five to ten applications?
Telephone calls are received at an emergency 911 number as a non-homogeneous Poisson process such that,...
Telephone calls are received at an emergency 911 number as a non-homogeneous Poisson process such that, λ(t)-0.5 calls/hr for 0<ts? hr, λ (t)-0.9 calls/hr for 7<ts17 hr, and λ(t)-1.3 calls/hr for 17<ts24. a. Find the probability that there are no calls between 6 am and 8 am. b. Find the probability that there are at most 2 calls before noon. c. What is the probability that there is exactly one call between 4:50 pm and 5:10 pm? d. What is...
Suppose that the number of bad cheques received by a bank in one day is a...
Suppose that the number of bad cheques received by a bank in one day is a Poisson random variable with mean lamda = 3. Determine the probability that the bank will receive 4 bad cheques in 2 days. A. 0.134 B. 0.058 C. 0.316 D. 0.205 E. none of the above
3. Telephone calls are received at an emergency 911 number as a non-homogeneous Poisson process such...
3. Telephone calls are received at an emergency 911 number as a non-homogeneous Poisson process such that, λ (t)-0.5 calls/hr for 0<ts7 hr, λ(t)-09 calls/hr for 7<ts17 hr, and λ (t)-1.3 calls/hr for 17<ts24 a. b. c. d. Find the probability that there are no calls between 6 am and 8 am. Find the probability that there are at most 2 calls before noon What is the probability that there is exactly one call between 4:50 pm and 5:10 pm?...
5. Three balls are placed at random in three boxes, with no restriction on the number of balls per box. (a) List the 27 equally probable outcomes of this experiment. Be sure to explain your notat...
5. Three balls are placed at random in three boxes, with no restriction on the number of balls per box. (a) List the 27 equally probable outcomes of this experiment. Be sure to explain your notation. (b) Find the probability of each of the following events: A: "the first box is empty" B: "the first two boxes are empty". C: "no box contains more than one ball". (c) Find the probabilities of events A, B and C when three balls...
Problem 6. Assume that the number of storms N in the upcoming rainy season is random...
Problem 6. Assume that the number of storms N in the upcoming rainy season is random and follows a Poisson distribution, but with a parameter A that is also random and is uniformly distributed on the interval (0,5). That is. Л ~ Unif(0,5). and given that = λ the conditional distribution of N is Poisson with mean λ: a Praioanyno.s) a) Calculate E(N 1 Λ) and E(N). b) Calculate Var(N | Л) and Var(N). c) Find the probability that zero...
If the number of calls received per hour by a telephone answering service is a Poisson random variable with parameter A 6, what is the probability of waiting more than 15 minutes between any two succ...
If the number of calls received per hour by a telephone answering service is a Poisson random variable with parameter A 6, what is the probability of waiting more than 15 minutes between any two successive calls? Select one: O a. 0 O b. 1 O C. 8.1940e-40 O d. 0.167 Check
If the number of calls received per hour by a telephone answering service is a Poisson random variable with parameter A 6, what is the probability of waiting...
In western Kansas, the summer density of hailstorms is estimated at about 1.5 storms per 5...
In western Kansas, the summer density of hailstorms is estimated at about 1.5 storms per 5 square miles. In most cases, a hailstorm damages only a relatively small area in a square mile. A crop insurance company has insured a tract of 5 square miles of Kansas wheat land against hail damage. Let r be a random variable that represents the number of hailstorms this summer in the 5-square-mile tract. What is λ for the 5-square-mile tract of land? Round...
At Burnt Mesa Pueblo, in one of the archaeological excavation sites, the artifact density (number of...
At Burnt Mesa Pueblo, in one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters of sediment) was 1.3. Suppose you are going to dig up and examine 42 liters of sediment at this site. Let r = 0, 1, 2, 3, ... be a random variable that represents the number of prehistoric artifacts found in your 42 liters of sediment. (a) Explain why the Poisson distribution would be a good choice for the...
1. The number of breakdowns of a computer network follows a Poisson process with rate α...
1. The number of breakdowns of a computer network follows a Poisson process with rate α = 0.2 breakdowns per week. This means the number of breakdowns during a period of t weeks is a Poisson random variable with parameter λ = 0.2t. (a) What is the probability that exactly 3 breakdowns are to occur during a 10-week period? (b) What is the probability that at least 2 breakdowns are to occur in next 10 weeks? (c) How many breakdowns...
Telephone calls are received at an emergency 911 number as a non-homogeneous Poisson process such that, λ(t)-0.5 calls/hr for 0<ts? hr, λ (t)-0.9 calls/hr for 7<ts17 hr, and λ(t)-1.3 calls/hr for 17<ts24. a. Find the probability that there are no calls between 6 am and 8 am. b. Find the probability that there are at most 2 calls before noon. c. What is the probability that there is exactly one call between 4:50 pm and 5:10 pm? d. What is...
3. Telephone calls are received at an emergency 911 number as a non-homogeneous Poisson process such that, λ (t)-0.5 calls/hr for 0<ts7 hr, λ(t)-09 calls/hr for 7<ts17 hr, and λ (t)-1.3 calls/hr for 17<ts24 a. b. c. d. Find the probability that there are no calls between 6 am and 8 am. Find the probability that there are at most 2 calls before noon What is the probability that there is exactly one call between 4:50 pm and 5:10 pm?...
5. Three balls are placed at random in three boxes, with no restriction on the number of balls per box. (a) List the 27 equally probable outcomes of this experiment. Be sure to explain your notation. (b) Find the probability of each of the following events: A: "the first box is empty" B: "the first two boxes are empty". C: "no box contains more than one ball". (c) Find the probabilities of events A, B and C when three balls...
Problem 6. Assume that the number of storms N in the upcoming rainy season is random and follows a Poisson distribution, but with a parameter A that is also random and is uniformly distributed on the interval (0,5). That is. Л ~ Unif(0,5). and given that = λ the conditional distribution of N is Poisson with mean λ: a Praioanyno.s) a) Calculate E(N 1 Λ) and E(N). b) Calculate Var(N | Л) and Var(N). c) Find the probability that zero...
If the number of calls received per hour by a telephone answering service is a Poisson random variable with parameter A 6, what is the probability of waiting more than 15 minutes between any two successive calls? Select one: O a. 0 O b. 1 O C. 8.1940e-40 O d. 0.167 Check
If the number of calls received per hour by a telephone answering service is a Poisson random variable with parameter A 6, what is the probability of waiting...
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