A household receives an average of 1.8 pieces of junk mail per day. Find the probability that this household will receive exactly 4 pieces of junk mail on a certain day. Use the Poisson probability distribution formula.

Q: Gina is pregnant and is about to give birth to a twin. make a probability distribution representing…

A: Given information: Condition given: Gina is pregnant and about to give birth to a twin X:…

Q: If a coin is flipped four times, construct the probability distribution for the number of heads. *

A:

Q: what is the binominal probability distribution

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…

Q: a. Create a table that shows the final probability distribution of each count of correct answers. b.…

A: here given there are total 5 question  and each question have 5 choices  so probability of correct…

Q: Suppose a coffee shop sells one cup of coffee 5 minutes. What is the probability that the coffee…

A: It is given that, A coffee shop sells once coffee in 5 minutes. Now, The number of Coffee sells in…

Q: In American Roulette, a bettor may place a $1 bet on any of the 38 numbers on the roulette wheel.…

A: We have given,Total number on the roulette wheel = 38Probability of getting a number (winning bet) =…

Q: The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute…

A: Let X be the no. of phone calls. μ=3 per minute X~Poisson3

Q: A company that advertises on the radio in a certain area receives on average 11 calls everytime it…

A: Formula : poisson distribution is given by

Q: Use a formula to determine the expected probability of an event

A: we have to tell among which of the option describes the theoretical proability.

Q: In a large population, 57 % of the people have been vaccinated. If 5 people are randomly selected,…

A: We have given that  Sample size n= 5 Success of probability p=57%=0.57 X~binomial ( n ,p)

Q: Find the probability function and commulative distribution function for number of heads that appear…

A:

Q: A die is weighted in such a way that each of 5 and 6 is eight times as likely to come up as each of…

A: Given: Probability of getting a 5 or a 6, when a die is rolled, is 8 times the probability of…

Q: A die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as each of…

A: Let us assume P(3)=x The probability of getting 3,4,5,6 are same So, P(4)=P(5)=P(6)=x   given that…

Q: Policy holders of an insurance company file claims at an average rate of 0.39 per year. If the…

A: Solution: From the given. Information  it follows a poisson distribution. Where, mean(λ) = 0.39…

Q: Suppose that a one-year project that requires an initial investment of $5 million has a 65% chance…

A: Let x be the amount that we win. The probability distribution of this project is given by,…

Q: Suppose items passed through an assembly line has a 2% defect rate. a. Find the probability that the…

A: From the given information, the defect rate is 2%=0.02. a. Let X be the number of failures until the…

Q: From a standard deck of playing cards you are dealt 3 cards. If X is the number of diamonds that was…

A:

Q: A baseball player has a lifetime batting average of 0.213. If, in a season, this player has 365 "at…

A:

Q: Create a graph for this probability distribution

A: Solution : Given that Number of cars (x) 0 1 2 3 4 5 6 7 8 P(x) 0.07 0.15 0.27 0.21 0.08 0.12…

Q: While driving to work, Arceli passes through 3 stop lights. The probability distribution of the…

A:

Q: Find the probability distribution of the sum of the dots when two fair dice are rolled.

A:

Q: An automatic car washing machine can wash 8 cars per hour. If the customers arrive to wash their…

A: Given: μ=8 car per hour customers come to wash their cars every 10 minutes

Q: During a Kansas tornado season, the probability a local grocery store experiences power outage on…

A: (d) On at least one day: P(At least 1 day)= 1- P(None of days) --(1) So 1st we need to find P(None…

Q: The probability distribution that leads to good business decisions is

A: A probability distribution is a statistical function that describes all the possible values and…

Q: Construct a probability distribution for the sum shown on the faces when two dice are rolled.

A: Given: Construct a probability distribution for the sum shown on the faces when two dice are rolled.

Q: A telephone switch board in a firm receives on a average 90 calls per hour. Find the probability…

A: X~ Poisson (lemda=90) Pd.f. of X is given by, p(x)= e-lemda(lemda)x/X!

Q: Suppose Solar power plants failures occur with an average of 5 failures every year, calculate the…

A: Given data: 5 = failures every year To find: The probability that there will not be more than one…

Q: Find the mean, variance and standard deviation. round all answers to on decimal place.

A: Solution: Suppose two dice rolled. Then, the sample space is Let X be the sum shown on the two…

Q: The yearly worldwide average number of airplane crashes of commercial airlines is 4. What is the…

A: Givenyearly worldwide average number of airplane crashes of commercial airlinesis 4for one…

Q: In an elevator it limits the weight of its four occupants to 300 kg. If an individual's weight…

A: Let  Xi: Individual weight . From given information, each Xi~N(μ=71,σ2=7)  i.e  each Xi have…

Q: An experienced invoice clerk makes an error once in every 100 invoices, on average. (a) What is the…

A: (a). Calculate the probability of finding a batch of 100 invoices without error: Here, it is given…

Q: During a Kansas tornado season, the probability a local grocery store experiences power outage on…

A: Given that, local grocery store experiences power outage on any workday is 0.125. i.e Probability…

Q: What is the probability that a randomly selected student prefers rock and sings in the shower 0…

A:

Q: Show the probability distribution function of the number of heads when three fair coins are tossed…

A: In the above case the random experiment is tossing  3 coins simultaneously. We can have 2*3=8…

Q: Find the probability distribution for the number of hearts when three cards are drawn in succession…

A: It is given that three cards are drawn in succession from the deck of cards without replacement.

Q: In a recent year, an author wrote 198 checks. Use the Poisson distribution to find the probability…

A: An author wrote 198 checks in a year (365 days). The average checks written per day is,…

Q: In a factory, there were 36 accidents involving machinery in the last six months. (a) Calculate…

A: Let X be the random variable of number of accidents involving machinery in the six months X~ Poi(36)…

Q: Based on this probability distribution: • The volunteer ambulance service has a chance of handling…

A: Given Data :

Q: Explain when the Poisson probability distribution is used.

A: A Poisson distribution is a distribution of probability that can be used to illustrate how many…

Q: For a continuous probability distribution, 0 15)? (List your answer in numeric form)

A: Given distribution range  0<=X<=15  We want to find the probability P(X>15)= ?

Q: Use the Binomial Distribution to calculate the probability that Lisa was hit by 3 or fewer rotten…

A: Given:-   Binomial distribution we have to calaculate PX≤3   let  success = lisa hits the egg =p…

Q: In the first draft of a book on probability theory, there are an average of 15 spelling errors per…

A:

Q: In a recent year 304 of the appoximately 300,000,000 people in the USA were struck by…

A: There are 300,000,000 people in the United States in which 304 people were struck by lightning. The…

Q: During a Kansas tornado season, the probability a local grocery store experiences power outage on…

A: (c) On none of the days: P(None of days)= (1-0.125)5 P(None of days)=(0.875)5 P(None of days)=…

Q: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Illustrate the probability distribution if X is the random variable that represents the number of…

A:

Q: What is required for a probability distribution to be considered binomial?

A: To consider a probability distribution as binomial, if it has a fixed number of indipendent trials…

Q: If you know that it rains during ten days out of every thirty days in a particular city. Using the…

A: In statistics theory, the Binomial distribution is the discrete probability distribution and it is a…

Q: In a recent year, an author wrote 192 checks. Use the poisson distribution to find the probability…

A:

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.