fisherman catches fish according to a Poisson process with rate λ = 0.6 per hour. The fisherman will keep fishing for two hours. If he catches two or more fish after two hours, then he goes home. Otherwise, he continues until he catches a total of two fish (including those caught in the first two hours) and then goes home. (a) Find the probability that he stays for more than two hours. (b) Find the probability that he catches at least three fish. (c) Find the expected number of fish that he catches. (d) Find the expected total fishing time

Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.34​, and ​P(F)=0.47.

A:

Q: Find the probability ​P(Ec​) if ​P(E)=0.25.

A: We want to find vlaur of people(Ec)

Q: machine consists of two components: A and B. The machine needs both components to operate. As soon…

A: Given problem is:

Q: Let X is random variable which represents life time of a certain computer part . X  is exponentially…

A: Given that,  Mean of exponential distribution is  1/λ = 10 So λ = 1/10 X~ exponential(1/10)

Q: A varsity football player successfully scores 84% of all the field goals he kicks during in-season…

A: Given that A varsity football player successfully scores 84% of all the field goals he kicks during…

Q: Of the 12 times a bird lands in a tree, he chooses a red maple 4 times. Find the empirical…

A: Given that of the 12 times a bird lands in a tree, he chooses a red maple 4 times. We have to find…

Q: Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).

A: The Special Multiplication Rule (for two independent event)

Q: Find the probability that Taylor Swift is Austin’s favorite music artist or Austin will go to a…

A: Define so events A: Taylor Swift is Austin’s favorite music artist. B: Austin will go to a Taylor…

Q: A student is writing a quiz with four t/f questions.  The student wants to know the theoretical…

A: The provided information is as follows:The total number of questions is .There are two choices for…

Q: Claims for a health company insurance are exponentially distributed. An insurance company offers the…

A: Claims for a health company insurance are exponentially distributed. An insurance company offers the…

Q: A piece of equipment will function only when the three components A, B and C  are working. The…

A: Given:  A piece of equipment will function only when the three components A, B and C are working.…

Q: Suppose that Blue Origin plans 6 independent space missions. Each one has a probability of success…

A:

Q: M3

A: Alice has ordered the food and she is in 7th place in line. The rate at which the food is served is…

Q: The probability that we return to the university is 65% P(E1)=0.65, the the probability that the…

A: From the given information, The probability that we return to the university is 65%. That is,…

Q: A box contains 6 blue balls, 3 red balls and 1 yellow ball. Two balls are taken from the box without…

A: Probability Distribution: Let X be a random variable. Then the probability distribution of X is…

Q: Find the distribution function which corresponds to the probability distribution defined by f (x) =…

A:

Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.45, and ​P(F)=0.27

A:

Q: The probability that a student posts a picture on Facebook after attending a Michigan basketball…

A: Given thatP(F)=0.8P(T)=0.4We have to find the probability that either event will happen

Q: Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if…

Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.54, and ​P(F)=0.29.

A: GivenE and F are mutually exclusiveP(E)=0.54P(F)=0.29

Q: The bison population lives and breeds in the central and northern regions of the Yellowstone…

A: Let X be a random variable representing the number of bison sightings such that the rate of bison…

Q: What is the probability of observing leukemia remission when the cellularity of the marrow clot…

A: Solution: Given  lnπ(y=1)1-π(y=1)=-2.88+3.08CELL-2.5INFIL The estimated logistic regression equation…

Q: The probability that John will go to Cambridge is estimated at 1/5; the probability that he will go…

A:

Q: In a large school, it was found that 64% of students are taking a math class, 77% of student are…

A:

Q: A raccoon walks from A = (0, 0) by going either one unit right or one up at each grid point. Which…

A: Racoon walks from (0,0) according to flipping of coin either on unit right or one unit up.Now the…

Q: According to a recent survey, the probability that the driver in a fatal vehicle accident is female…

A:

Q: Austin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009.…

A: (a) The variable X is defined as ‘the number of songs in which she complained about some boy’. In…

Q: The amount of time you wait for the bus is uniformly distributed on the interval from 5 to 10…

A: Let X denote the amount of time you wait for the bus and it follows uniform distribution on interval…

Q: According to a recent survey, the probability that the driver in a fatal vehicle accident is female…

A:

Q: A post office has three clerks, each of whom is serving a customer. The service times are i.i.d.…

A: Here given that a post office has three clerks, each of whom is serving a customer. Service times…

Q: An average of 4.55 customers comes to Columbia Savings and Loan every half hour. Find the…

A: given data,An average of 4.55 customers comes to Columbia Savings and Loan every half hour.here…

Q: According to a recent survey, the probability that the driver in a fatal vehicle accident is female…

A:

Q: A machine consists of two components: A and B. The machine needs both components to operate. As soon…

A: The machine consists of two components A and B.

Q: The average number of field mice per acre in a 7-acre wheat field is estimated to be 13. (a) Find…

A: To find, a) Find the probability that fewer than 10 field ice are fouund on a given acre. b) Find…

Q: Calculate each Poisson probability: (a) P(X= 2), λ = 0.10 (Round your answer to 7 decimal places.)…

A: The objective is to calculate Poisson probability for the given cases. Poisson formula: PX=x=e-λ…

Q: Calculate each Poisson probability: a. P(X = 6), A = 2 (Round your answer to 4 decimal places.)…

A: Given: a). X=6, λ=2b). X=9, λ=13c). X=6, λ=5

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.