Given 3 dice each with the numbers 1 through 6 but with probabilities as follows : Die I: f(x)=1/6 Die lI: f(x)=x/21 Die II: f(x)=x²/91 A die is selected, tossed and 5 appears. What is the probability that it is Die II? OA. 90/380 OB. 91/371 OC. 85/375 D. 95/381

Q: on hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on…

A: Given that  Probably mass function of X is  X 25 50 75 100 Total  P(X=x) 0.14 0.38 0.24 0.24…

Q: Mrs. Connor's physics class has 92 students, classified by academic year and gender, as illustrated…

A:

Q: Table 1 contains the probabilities associated with each possible pair of values for Y, and Y2 and is…

A: Solution

Q: In a large city, 60% of the residents are females and 40% are males. If two persons are selected…

A: Given Information: Percentage of females = 60% or 0.6  Percentage of males = 40% or 0.4

Q: X Flu Shot | No Flu Shot Total Male 451 416 867 Female 542 491 1033 Total 993 907 1900 Round all…

A:

Q: The lifespan of a car battery is normally distributed with u = 5 years and o = 1.2 years. What is…

A: to find the probability using standard normal distribution.

Q: Weapon Handgun Rifle Probability 0.476 0.028 Shotgun Unknown firearm 0.035 0.146 Knives 0.135 Hands,…

A: Hi, we are supposed to answer three subparts at a time. Therefore, I am answering the first three…

Q: Which of the following is not a valid probability distribution? 1 2 4 p(x) 0.2 0.25 0.15 0.4 -2 -1…

A: We know that  Probability is non negative value and it range from 0 to 1. Which is in decimal or…

Q: A geologist has collected 12 specimens of basaltic rock and 12 specimens of granite. The geologist…

A: (a) There are 12 specimens of basaltic rock and 12 specimens of granite. A Laboratory assistant…

Q: As part of a drug research study, individuals suffering from arthritis take an experimental pain…

A:

Q: In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is…

A: Givenn=3p=0.6x~Binomial(n=3,p=0.6)P(X=x)=(nx)×px×(1-p)n-x    ; x=0,1...,n

Q: (3 points) One hundred people were surveyed, and one question pertained to their educational…

A: given                               Female (F)  Male (F')  Total College degreee      28…

Q: An automobile service facility specializing in engine tune-ups knows that 45% of all tune-ups are…

A: Consider X be a random variable which represents the number of cylinders on the next car to be…

Q: Given 3 dice each with the numbers 1 through 6 but with probabilities as follows : Die I: f(x)=1/6…

A:

Q: In recent study of nurses of a local hospital, eight hundred and twenty four said that they prefer…

A:

Q: The proportions of families with various numbers of children age 18 or under in a small town are…

A: Given that, The proportions of families with various numbers of children age 18 or under in a small…

Q: I. At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 48 22…

A: We want to find the probability  P(Cold | Large)

Q: If the random variable ?takes the values 1, 2, 3, 4 such that 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4).…

A: It is given that, 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4)

Q: 3.) If you choose 25 companies, what is the probability that they a 0.5 percent? A.) 0.0162…

A:

Q: Which formula gives the probability distribution by the following random variable 3, 4, and 5 with…

A:

Q: A deck of cards is used, determine the theoretical probability of each: (Show ALL supporting work)…

A: We cam find all the three answers as below

Q: Consider the following (fictional) probability model, for the number of children in a Canadian…

A: Given that.  Probability mass function of X is  x 0 1 2 3 4 5 6 or more  p(x) 0.21 0.30 0.31 ?…

Q: Let the random variable X represent the number of cars that are used for official business purposes…

A: Consider, μA=∑xPA(x)     =(1*0.3)+(2*0.4)+(3*0.3)     =2 σA=∑x2PA(x)-∑xPA(x)2…

Q: In an international school, each staff has to take place in at least 3 community services in a year.…

A:

Q: 3. 0.03 of the goods produced in a factory are defective. When a 25 unit sample is drawn for…

A: P(defective)=0.03=P q=1-P=0.97 n=25 x= no. of defective goods, p(x=X)=nc x px qn-x    - binomial…

Q: Suppose a math class contains 37 students. There are 16 females (six of whom speak Spanish) and 21…

A:

Q: The proportion of vehicles which drive above the speed limit on a freeway is 85%.  Suppose 100…

A:

Q: Find P(X=1 and X=2)

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: ed on Fecent records, the manager of a car painting centre has determined the following probability…

A:

Q: a certain animal species, the probability that a healthy adult female will have no offspring in a…

A:

Q: 2. The probabilities of a machine manufacturing 0, 1, 2, 3, 4, and 5 defective parts in one day are…

A: Given that  Probability mass function of X is  x 0 1 2 3 4 5 P(X=x) 0.75 0.17 0.04 0.025 0.010…

Q: In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the…

A: Explanation of the answer is as follows

Q: Two thousand randomly selected adults were asked if they are in favor of or against cloning. The…

A: Given data,

Q: What is the probability distribution if X∼B(3,0.82)?

A: It is given that X~B(3,0.82).

Q: Indiana University posts the grade distributions for its courses online."' In one spring semester,…

A: In one spring semester, students in Math 118 received 16.1% As, 34.3% B's, 29.2% Cs, 9.6% D's, and…

Q: In Alpha College, students are required to join at least one school club to get extra-curriculum…

A: Probability : Probability merely refers to however doubtless one thing is to occur. once we are…

Q: In a survey of the number of trips abroad during one year was conduced among 1090 families. The…

A: Given, A survey of the number of trips abroad during one year was conducted among 1090 families.…

Q: Therefore, the probability that the majority of the 2. A coach has 6 players that will join track…

A: Majority of the players means we will consider, players(X) which is minimum more than half from 1 to…

Q: If X is a random variable with the following probability distribution , Find E(x), E(X'), V(X) and…

A:

Q: The following table shows the distribution of murders by type of weapon for murder cases in a…

A: a)Since, the sum of all probabilities is 1 and each probability lies between 0 and 1, therefore,…

Q: 2. Given the assumption is true, find the probability that the randomly selected motorcycle will be…

A: Let X be the random variable from normal distribution with mean (μ) = 10 years standard deviation…

Q: Suppose that the probability function in the table below reflects the possible lifetimes (in months…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: As shown above, a classic deck of cards is made up of 52 cards. Suppose one card is selected at…

A: Probability A probability for a random trial showed the possibility of its occurring between 0 and…

Q: Given 3 dice each with the numbers 1 through 6 but with probabilities as follows : Die I: f(x)=1/6…

A:

Q: A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability…

A: Solution: The joint probability model for X and Y is Since the total probabilities should be equal…

Q: A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported…

A:

Q: Given the composite probability function of a random variable x and y, which of the following is…

A: The marginal distribution of y is  f(y) = 2y   The condition distribution of X/Y is given by

Q: An experiment consists of flipping a weighted coin with Pr[H]=0.8Pr[H]=0.8. The experiment ends when…

A: It is given that the probability of getting a head is 0.8. The coin is flipped at most two times.…

Q: s playing un artificial tof instead of grans. If a player's probability of knee injury on artificial…

A: Let the probability of injury if he playing on grass is = x So, the probability of injury on turf is…

Q: The probabilities of a machine manufacturing 0,1, 2, 3, 4, or 5 defective parts in one day are 0.75,…

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.