A die is weighted in such a way that each of 5 and 6 is three times as likely to come up as each of the other numbers. Find the probability distribution. Outcome 1 2 4 Probability What is the probability of rolling an even number?

Q: a job interview, find the probability that less than three (<3 or 0,1,2) people have come for an…

A: here given, on average 3 persons come to ABC company for job interview so λ = 3 persons per day here…

Q: There is a disease whose average incidence is 10 per 30,000 people. In a city of 90,000 people find…

A:

Q: In a class of students, the following data table summarizes how many students passed a test and…

A: To find: The probability that the student chosen randomly form the class is completed the homework:…

Q: Find the probability of the following events.

A: here as per policy i HERE USE BASIC PROBABILITY DEFINITION probability =no. of favourable…

Q: A) If the average number of rodents in a cotton farm with an area of 20 acres is 2 per acres,…

A: As per guideline I have calculated 1st main question  Here given,  If the average number of rodents…

Q: A fair die is rolled 4 times. What is the probability of getting at least one 2 on the four rolls?…

A: We have to find given probability.

Q: A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number…

A:

Q: A basketball player with a history of making 80% of the foul shots taken during games. What is…

A: Given that n =7 , p= 0.80 Find P ( X =5 ) =?

Q: What is the probability of rolling one six sided die and obtaining a 1 and a 2 in consecutive rolls?

A: The sample space for rolling a one six sided die is S = { 1, 2, 3, 4, 5, 6 }.

Q: (a) Find the probability of randomly selecting a household that has one or two televisions.

A: here given discrete probability distribution for no. of television per household x= no. of…

Q: a) Find the probability that 35 of those sampled have a HS diploma or the equivalent. b) Find the…

A: Here the given situation follows a binomial distribution.

Q: One out of every 100 tax returns that a tax auditor examines requires an audit. Find the probability…

A: Solution: Geometric distribution: The geometric distribution should be used if the investigator is…

Q: We throw five symmetrical coins. Calculate the probability of getting no more than two eagles.

A: From the given information we find the probability.

Q: A nationwide survey revealed that 42% of the population likes eating pizza. If two people are…

A: Given,P(person likes eating pizza)=0.42P(person does not likes eating pizza)=1-0.42

Q: A coin is tossed 10 times. Find the probability of tossing five or six heads.

A: Given that a coin is tossed 10 times. Note that probability for getting one head in one toss p is…

Q: (a) Find the probability that the number of people who say auto racing is their favorite sport is at…

A: Given that, n =600, p =0.06 The mean and standard deviation are,

Q: The injury rate of a volleyball player is 20%. If he throws the ball 100 times, and if you know that…

A:

Q: Yahtzee! Find the probability of getting a 5 of a kind when rolling five dice.

A: Given information- We have given five dice. We have to find the probability of getting a 5 of a…

Q: The average number of field mice per acre in a 5-acre wheat field is estimated to be 18. (a) Find…

A: Solution-: Given :λ=18 We want to find, (a) P(fewer than 14 field mice are found on a given acre)=?…

Q: you roll a six-sided die.what is the probability that it is an even number or less than five

A: When a six-sided die is rolled the sample space is S={1,2,3,4,5,6} n(S)=6 P(even number or less than…

Q: Giving a test to a group of students, the grades and gender are summarized below A В Male 9. 15…

A:

Q: During a Formula 1 test. 25% of the cars that participated in the test experienced a tire blowout.…

A: Correct answer is  (C) 0.1484

Q: Ace Heating and Air Conditioning Service finds that the amount of time a repairman needs to fix a…

A:

Q: You roll a fair die twice. What is the probability of getting a 2 or a 5 on the first throw and a 1…

A:

Q: If the number of defects in a sheet metal is Poisson with 5 defects per meter square. Find the…

A: Given, the number of defects in sheet metal is Poisson with 5 defects per meter square To find the…

Q: A coin is tossed at the same time with a die. What is the probability of getting a head and a 5? A.…

A: Given that.  A coin and die are tossed at same time  Sample space=S…

Q: If the number of defects in a sheet metal is Poisson with 5 defects per meter square. Find the…

A: Given, Defects in sheet metal is poison with 5 defects per meter square To find the probability of…

Q: A medication states that the odds of having an allergic reaction are 2 in 200. What is that…

A:

Q: If an average of 18 customers are served per hour, what is the probability that the next customer…

A: See the handwritten solution

Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is 2, 11, or 12.

A: Given, the six-sided die is tossing twice.

Q: Many board games involve tossing two six sided dice. use a two way table to determine which sum has…

A: Given two six sided dice are rolled. So possible outcomes of the sum are…

Q: The average number of field mice per acre in a wheat field is estimated to be 1.2. Find the…

A: Given, The average number of field mice per acre in a wheat field is estimated to be 1.2. The…

Q: A coin tossed thrice. What is the probability of having two heads and a tail? Use a table showing…

A: Given :A coin tossed thrice times

Q: Part b) What is the probability that a randomly selected college senior who uses the career center…

A: Given: We collect a random sample of 1000 college seniors who complete job applications through the…

Q: A coin is tossed three times. find the probability of getting at most one head.

A: Here we have given that coin is tossed 3 times then corresponding sample space for the event is,…

Q: A researcher finds that the odds of catching a grouper on a fishing expedition are 3:1. Find the…

A: From the given information, A researcher finds that the odds of catching a grouper on a fishing…

Q: Assume a small tumour contains 1 million cells. If the tumour is treated with a drug that kills any…

A: Given that a drug kills any individual cell with a probability of 99.7%.

Q: you roll a six-sides die.what is the probability that it is an even number or less than five.round…

A: Given that, You roll a six sided die. We are asked to find the probability that it is an even number…

Q: A dice is thrown 5 times. Find the probability of getting a 4, a 5 and three other numbers.

A:

Q: If a CEO is selected at random, find the probability that his or her age is a. Between 31 and 40 b.…

A: From the provided data we have the computations as,   Age  Frequency Cumulative frequency…

Q: Records show that the average number births at Highland Hospital per hour is 5.2.  Find the…

A: The Poisson distribution: A discrete random variable X is said to have a Poisson distribution with…

Q: In rolling a fair die once, what is the probability of rolling a 2 or an odd number? show solution

A:

Q: A fair die is tossed three times. Find the probability of getting three 4's.

A: The number of dice tossed are 3.

Q: At a zoo, a sampling of children was asked if the zoo were to get one additional animal, would they…

A: Note: Hey, since multiple subparts are posted, we will answer first three subparts according to our…

Q: a. Find the probability distribution of X, the number (out of the four) that have annual incomes…

A:

Q: at a highschool with 200 students 32 play soccer 18 play basket ball and 8 play both sports. if a…

A: Let,A=students play soccerB=students play bascket ballP(A)=32200 =0.16P(B)=18200 =0.09P(A∩B)=8200…

Q: The average number of field mice per acre in a 6-acre wheat field is estimated to be 13. a. Find…

A: Given that The average number of field mice per acre in a 6-acre wheat field is estimated to be 13.…

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.