45. Consider a Poisson distribution with a mean of two occurrences per time period. a)Compute the probability of two occurrences in one time period. b) Compute the probability of six occurrences in three time periods. c) Compute the probability of five occurrences in two time periods.

Q: The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4…

A: given data poisson distributionμ = 4 per week λ= 47 per dayx =  no. of accidents in t daysP(x=X) =…

Q: Discrete Probability Distributions: 8. Suppose that two 6-sided dice are rolled. Let a random…

A: To solve this problem, we first need to list all the possible outcomes when rolling two 6-sided…

Q: Suppose that the number of car accidents per day in Wilmington, NC has been recorded for the past…

A:

Q: Poisson distribution with a mean of 6 per hour. Determine the probability that over the next pur,…

A: It is an important part of statistics. It is widely used.

Q: 2. Research shows that 17% of children are absent from school on at least five days during winter…

A:

Q: Find the probability distribution for the number of tails that will occur when 4 coins are tossed.

A: Given data: The numbers of coins tossed are n=4. The expression for the sample space is, S=HHHH,…

Q: . A shipment of parts contains 120 items of which 10 are defective. wo of these items are randomly…

A: Given that  Total item=120 Defective item=10 2 item are chosen at random

Q: Airline passengers arrive randomly and inde­ pendently at the passenger­screening facility at a…

A: (a)   Obtain the probability of no arrivals in a one minute period. The probability of no arrivals…

Q: Based on records, complaints occur in XYZ Internet Café at an average of 5 per day. The number of…

A: Given: X = number of complaints  X follows Poisson distribution with parameter 5 per day.

Q: Cars arriving for gasoline at a Shell station follow a Poisson distribution with a mean of 7 per…

A: Given : λ = 7

Q: (a) Construct a probability distribution table for X. (b) Determine the probability that the team…

A: Here use basic rule of probability  Here given The probability a football team wins, loses or draws…

Q: Suppose that the number of car accidents per day in Wilmington, NC has been recorded for the past…

A: Probability of at least two accidents = P(2accident) + P(3 accident) + P(4 accident)

Q: 3. Customer calls arrive at the help desk in Portland according to a Poisson distribution with a…

A: Given information: The mean of a Poisson distribution is, λ=0.8 calls per minute.

Q: . Noah has 1200 cows on his farm. He selections 100 cows. 25% of the cows have spots. d. Find…

A: If X is the binomial random variable with parameters n and p then the mean of X is np and variance…

Q: 2. An urn contains an urn containing 3 blue balls and 2 red balls. Balls are removed from the urn…

A: We will define X as the number of extractions before first red ball shows up. There can be 4…

Q: 8. A basketball player has a free throw percentage of 80%. He was fouled while attempting a…

A:

Q: Let X be the number of "5" obtained when three dices are rolled. Construct probability distribution…

A:

Q: A driving test examiner takes 8 driving tests per day. The probability that a candidate passes…

A: A driving test examiner takes 8 driving tests per day. The probability that a candidate passes…

Q: 3) The number of customers in a bank follows a Poisson Distribution with mean 5. What is the…

A:

Q: Q4. The data in the table below shows a distribution for the marital status of adults living in a…

A: Given:   Single Married Widowed Divorced Total Male 100 250 25 40 415 Female 70 230 42 55…

Q: 10. The number of students who fail per semester is often modeled as a Poisson random variable.…

A:

Q: Based on police records, the number of car accidents in a busy intersection of a street is Poisson…

A: Mean is m=5 The Poisson probability is given by: Pr=mre-mr!=5re-5r! Probability of no accidents is:…

Q: 60. Bread baking. The number of loaves of bread, N, baked each day by Fireside Bakers is normally…

A: Given: Meanμ=1000Standard deviation (σ)=50 X follows normal distribution

Q: has an available replacement is 0.65. [Hint: there are two separate distributions here.] a. b.…

A:

Q: 12. A men's soccer team plays soccer zero, one or two days a week. The probability that they play…

A: Given,

Q: 14). The number of accidents that occur at a busy intersection is Poisson distributed with a mean of…

A: Poison distribution :  A random variable x is said to poison distribution and its probability mass…

Q: A committee of 8 people randomly chooses 3 people in order to be president, vice president, and…

A: Total person = 8 to chosen = 3 Order = considered

Q: 6. In May the probability of a day without precipitation in Oslo is 0.68. Construct the distribution…

A:

Q: A department store receives an average of 5 returned items per day. The probability that a returned…

A: Please note that as per our guidelines if multiple sub-parts are there in a question we can answer…

Q: he number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.2…

A: X~Pois(4.2)

Q: 2.) For random variable that counts the number of heads when a coin is flipped four times, find the…

A: The provided information is as follows:The random variable counts the number of heads.The coin…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.