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: Assume that A, B and C are three independent events such that P (A) = 0.2, P (B) = 0.5 and P (C) =…

A: Given: PA=0.2PB=0.5PC=0.1 A, B and C are independent events.  Since they are independent events,…

Q: Throw one thousand dice at the same time and write and draw the probability distribution for the sum…

A: Let x denote the face number of a die. Then, x can take values 1,2,3,4,5 and 6. Suppose in 1000 dice…

Q: P(E)=35/41. Find the probability that the event will not happen.

A:

Q: The probability that A will live upto 60 years is and probability that B will live up 4 to 60 years…

A:

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

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

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: Jim has to take two consecutive exams to get a certificate. The probability for him to pass the…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: Patients arrive at a hospital Accident and Emergency department at random at a rate of 6 per hour.…

A: given data λ = 6 per hourx = no. of patients in t houtP(x=X) = e-λt(λt)xx!

Q: Find the probability of the indicated event if P(E)= 0.30 and P(F) = 0.55. Find P(E or F) if P(E and…

A: The provided information are: P(E)=0.30 P(F)=0.55 P(E and F)=0.15 To calculate the P(E or F) use the…

Q: A survey finds customers are charged incorrectly for 1 out of every 10 items. Suppose a customer…

A: Binomial distribution is given by

Q: Alfie travels to work by car each morning. The probability that he is late to work on any given day…

A: Solution: Let X be the number of number of days Alfie is late and n be the sample number of days.…

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: The probability that a newborn baby does not cry after midnight is 2/50. The probability that a…

A: Given that  Probability mass function of X is  x 0 1 2 3 4 5 P(X=x) 2/50 11/50 23/50 9/50 5/50…

Q: 84% of all the field goals he kicks during in-season games. Assume each kick is independent of the…

A: Let X be the random variable from binomial with probability (p) = 84% = 0.84 and sample size (n) =…

Q: Find the probability P(Ec​) if ​P(E)=0.42.

A:

Q: If a basket ball player makes a 3 point shot, he has a 55% chance of making his next shot.  If the…

A: Let Ei denotes the event that the player makes the ith 3-point shot, i=1,2,3. Given that if a…

Q: Probability that Joe eats an apple on Tuesday is 0.4. The probability that Mark eats and apple on…

A:

Q: Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed…

A:

Q: An actress has a probability of getting offered a job after a try-out of 0.02. She plans to keep…

A:

Q: at irsc the probability that a student is a male is 0.52, that a student is a business major is…

A: Let A denote the student is a male, and B denote the student is a business major. At IRSC the…

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: The probability that a student pilot passes the written test for a private pilot's license is 0.55.…

A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

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

A:

Q: t a fast food restaurant: 75% of customers order burgers (event B) 70% of customers order fries…

A: Given that  At fast food restaurant : Event B  =  Customers order burgers = 75%  Probability of…

Q: A Student takes an exam with 10 questions suppose that a student was able to study a little for the…

A: Given that, A Student takes an exam with 10 questions suppose that a student was able to study a…

Q: A die is weighted so that a score of 5 is three times as likely to appear as a score of 4. A score…

A: Given, A die is weighted so that a score of 5 is three times as likely to appear as a score of 4. A…

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: Industrial robots are programmed to operate through microprocessors. The probability that one such…

A: The objective of the question is to find the probability that the robot will operate for at most 5…

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

Q: A number of customers arrive at a cafeteria during lunch hour at an average rate of 0.025 per…

A: Reviewing information, X: Average rate of arrival of customers= 0.025 per second

Q: A radioactive source emits particles at an average rate of one every 12   seconds. Find the…

A: Given problem Given that   A radioactive source emits particles at an average rate of one every 12…

Q: Suppose it takes a child between 4.5 and 12 minutes to eat an ice cream cone. Let X= the time, in…

A:

Q: The best free throw shooter in NBA history is Stephen Curry who has made 91% of his free throw…

A: Let  be the number of number of free throws.The probability of making free shot:  The total number…

Q: he probability of a person dying quickly given that he or she ate flesh from a Mad Cow is 85%…

A: P(Dying | Mad Cow) = 0.85 P(Mad cow)=0.12

Q: Marta likes to play two different lottery games.  The probability of winning the first game is 0.08,…

A: Let, Event W1 is winning the first game, event W2 is winning the second game. The probability of…

Q: The probability that Susanne completes MATH 230 successfully in the Fall and goes to France for…

A: Given  The probability that Susanne completes MATH 230 successfully in the Fall and goes to France…

Q: The probability of occurance of two two events A and B are 1/4 and 1/2 respectively. The probability…

A:

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.