A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability distribution.   What is the probability of rolling less than 4?

Q: In a certain factory, the probability of workers suffering from an occupational disease is 20%.…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: A coin tossed three times. Find the probability of getting Two heads and one tail show the working..

A: Given data: A coin tossed three times. To Find: The probability of getting Two heads and one tail.

Q: In a large population, 59% of the people have been vaccinated. If 5 people are randomly selected,…

A:

Q: a fair six sided die is rolled 10 times.each is independent.you want to find probability of finding…

A: Let the random variable X denotes the number of times a fair six-sided die is rolled. The number of…

Q: Find P(A), given that P(A) 0.493.

A: Given,      P A=0.493

Q: A baseball player has a batting average of 0.4. What is the probability that he has exactly 5 hits…

A: Given data, P(hit) = p = 0.4 n=7 bats X = no. of hits  P(X=5)=?

Q: Every morning Sheldon pesters his friends to give him a lift to work. The probability that he will…

A: Given  p= 0.7 n  = 5

Q: A math professor finds that when she schedules an office hour for student help, an average of 2.3…

A: Step 1:The probability mass function of the poisson distribution is given by…

Q: In a large population, 53 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given information- Given problem is of binomial distribution. Probability of success, p = 0.53 No.…

Q: The probability that team A loses against team B is 0.6 and the probability that team C wins against…

A: Let μi denotes the performance score for the team i. Thus, the performance score for teams A, B, and…

Q: n average cleo catches a fish on 45% of the times that he casts his fishing line. If he casts his…

A: Given data, Proportion of cleo catches a fish is p=45% =0.45 n=15 what is the probability that he…

Q: Suppose that 38% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, Probability, p = 38% = 0.38 Sample size = 2

Q: what is the probability to get 3 tails and 1 head.

A:

Q: Now look at the variable DIFFERENCE in the data file “Fuel Efficiency.” If there is no difference…

A: Fill-Up No. Computer Driver Difference   1 41.5 36.5 5   2 50.7 44.2 6.5   3 36.6 37.2 -0.6…

Q: Suppose two dice are tossed. Let X be the sum of the dots on the top faces of the two dice. Find the…

A: When two dice is thrown simultaneously, there are 36 outcomes .

Q: In a large population, 61% of the people have been vaccinated. If 5 people are randomly selected,…

A: From the given information, Sample size (n) = 5, Probability of success (p) = 0.61.

Q: A box containing 8 yellow and 5 red marbles. If two marbles are to be drawn at random without…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: The probability that a student will matriculate is 0.4. Find the probability that out of 5 students…

A:

Q: Out of a student group of 85 people, 39 people play basketball, 42 people play football and 25…

A: Introduction: Define the following events: B: Plays basketball; F: Plays football; T: Plays tennis;…

Q: 8% of all Americans live in poverty. If 48 Americans are randomly selected, find the probability…

A: given data sample size n = 48population proportion who lives in poverty = p = 0.08x= no. of people…

Q: On average there are 3 leaks for every 100 miles of a pipeline. What is the probability that a…

A: On average there are 3 leaks for every 100 miles of a pipeline

Q: One half of the people in the United States own individual stocks. In a random sample of 12 people,…

A: Given that  Number of trials n=5 Success of probability p=0.5 X~binomial (n,p)

Q: Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds…

A: smith checks 300 of the 7500 welds completed that shift.suppose x be the number of substandard…

Q: A manufacturer claims that a new drug is 85% effective. If the drug is given to 10 patients, find…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: Suppose that 60% of all California motorists are insured. Find the probability  that more than 55%…

A: given data  P(insured) = p = 0.60 sample size n = 100 P(p^>0.55) = ?

Q: A newspaper report states that the probability of snow is .3. After calling the airport you are told…

A: As given, the probability of snow is 0.3, That is, P(snow) = 0.3 Therefore , P( not snow) = 1- P(…

Q: hat is the probability that at least one of the students got a score? Round to four decimal place.

A: Let , X be the number of students got a score Here , X→B(n=3 , p=0.33) The probability mass function…

Q: suppose that 90% of students take math, 20% of students take chemistry and 15% take both. select a…

A:

Q: The probability that A hits a target is 1/5 and the probability that B hits it is 1/7. What is the…

A: Probability that A hits a target = 1/5 Probability that B hits a target is 1/7 If two event A and B…

Q: A pair of dice are tossed twice. Find the probability that both rolls give at most a sum of 6.

A: We have given that,  A pair of dice are tossed twice then the sample space (S) is,  S = {(1,1),…

Q: survey found that 75% of women in a given city enjoy shopping online. Suppose you randomly selected…

A:

Q: Determine the probability that will get 4 green lights in a series of 5 lights.  Assume the chance…

A: Given: The total number of lights are n=5. The probability of a light being green is p=0.4. Let X be…

Q: In a very large industrial company, the average number of fatal accidents per month is 0.3. Find the…

A:

Q: A person conducting telephone surveys must get 3 more completed surveys before their job is…

A: There is 20% chance of completing the phone survey

Q: A tennis player makes a successful first serve 30% of the time. If she serves 33 times, what is the…

A: Solution: Let X be the number of first serves and n be the number of times she serves. From the…

Q: In a family of 4 Children, the probability of a male birth is 0.5. Find the probability that the…

A: Sample of size(n)=4p=Probability of a male birth=0.5q=1-pq=1-0.5=0.5

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.