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 3?

Q: In a large population, 50 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Givenp=50%=0.50n=3x=noof people get vaccinatedx~Binomial(n=2,p=0.50)P(X=x)=Cxn px (1-p)n-x    ;…

Q: An interview with 20 people revealed that 8 of the 10 women and 5 of the 10 men preferred drinking…

A: let us define a random event E. The probability of occurring of the event, i.e P(E)=Favorable number…

Q: A group of people were asked if they had run a red light in the last year. 455 responded "yes", and…

A: The number of people who responded yes is 455 and the number of people who responded no is 310.

Q: he probabilities that a patient will have 0,1 ,2 , or 3 medical tests performed on entering a…

A: Given that The data of number of medical tests performed on entering a hospital. Number of tests…

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

A:

Q: If 58% of the people at a certain conference are doctors, 38% are men, and 18% are male doctors,…

A: Given If 58% of the people at a certain conference are doctors, 38% are men, 18% are male doctors,

Q: Find the probability that at most one household is tuned to September Road. P(at most one) =

A: Let the R.V X denotes the number of households are turned to September road and it follows the…

Q: In a class of students, the following data table summarizes how many students have a brother or a…

A:

Q: Suppose you roll a six-sided die, with sides numbered 1, 2, 3, 4, 5, and 6, and with each number…

A: a) All possible outcomes= 1, 2, 3, 4, 5, and 6 So total 6 possible outcomes.   The possible outcomes…

Q: In a football school, 25 matches per month are played. 15 of the 25 matches played in the past years…

A: Given ,no.of matches (n) =25and P=1525=35X=no.of matches won

Q: Suppose a die is weighted such that the probability of rolling a three is the same as rolling a six,…

A: Let the probability of rolling a six is= x So the probability of rolling a three is=x the…

Q: In a class of students, the following data table summarizes the gender of the students and whether…

A: We have to find p(male)

Q: If one student is randomly chosen from the group, what is the probability that the student chose…

A: Given problem Given that     Homework Housework Outside Employment Recreation Other Total…

Q: The following table lists the probability distribution of the number of refrigerators owned by all…

A: Solution: Given: x P(x) 0 0.01 1 0.69 2 0.22 3 0.08 P( a family owns at exactly two…

Q: It is known from the past experience that in a certain plant, there are on an average 4 industrial…

A: Given info: Here, λ = 4.

Q: first- and second-born children of two-children families by gender is shown below. What is the…

A:

Q: A die is weighted in such a way that each of 2, 4, and 6 is three times as likely to come up as each…

A: Total probability is one

Q: A survey at a restaurant in small western town yielded the data below: Married Single Divorced…

A: See the handwritten solution

Q: After rolling a fair 20 sided die 200 times, the observed(or experimental) probability of rolling a…

A: Given that the experimental probability is = 25%   The die is 20 sided. So the theoretical…

Q: At a certain umiversity, 4% of men are over six feet tall and 1% of women are over 6 fee tall.…

A: Given P(A l B) =0.01 P(B) =0.6 P(A l B') =0.04

Q: A credit card company tracks how long it takes for new account holders to activate their credit…

A: Given data is X P(X) 5 3596 6 14 7 18 8 748 9 1196

Q: Suppose you roll a six-sided die, with sides numbered 1, 2, 3, 4, 5, and 6, and with each number…

A: From the provided information, Total possible outcomes = 6 a) Total possible outcome rolling a…

Q: : The Betropolis High School Olympiad distributes 50 medals to boys and girls as follows.   Gold…

A:

Q: A machine that fills boxes of cereal underfills a certain proportion p. If 25 boxes are randomly…

A:

Q: In a class of students, the following data table summarizes how many students have a brother or a…

A: Given information,   Has a brother Does not have a brother Total Has a sister 3 4 7 Does not…

Q: The table to the right gives the proportion of children in a certain country in a year who are…

A: The proportion of children are given in the table.

Q: 2. The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any day are 0.10, 0.20,…

A:

Q: a certain population, a group of people has a 0.23% rate of heterochromia. If a random person is…

A: Probability = number of favorable eventstotal number of events

Q: After rolling a fair, six-sided die 100 times, it was observed that the probability of rolling a 2…

A: We know, that on rolling a fair dice, the probability of obtaining 2 on a dice roll is 0.167

Q: A car insurance company tracks how long it takes for it takes a new car owner to get into their…

A:

Q: In a class of students, the following data table summarizes how many students have a brother or a…

A: Solution

Q: Suppose that one third of the cards in a scratch-and-win promotion gives a prize. a) Create a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A six-sided die is weighted so that rolling a two, four, or six is equally likely. In addition,…

A: Given information- We have given a six-sided die. We have given that rolling a two, four or six is…

Q: Find the probability distribution and CDF of X.

A:

Q: In rolling a die, the probability of obtaining 2, 3, and 4 in three statistically independent throws…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: 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,…

A: Given that, The outcomes for a die are 1, 2, 3, 4, 5 and 6. A die is weighted in such a way that…

Q: A coin is tossed six times. What is the probability that the outcome is six heads, given that…

A: When a coin is tossed probability of getting heads is 1/2 =0.5 Here coin is tossed 6 times .n=6…

Q: From a group of 4 men and 5 women, a committee of size 3 is to be selected. Find the probability…

A:

Q: A die is weighted in such a way that each of 2, 4, and 6 is three times as likely to come up as each…

A:

Q: Which one of the following probabilities is a "cumulative" probability?

A:

Q: A sampling of children was asked if they would they prefer a lion or elephant  as their favorite…

A: Given data,   Lion Elephant Total Boys 90 110 200 Girls 75 85 160…

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

A:

Q: Find the mean of the following probability distribution?

A: Here, we have given the probability distribution of x as below: x 0 1 2 3 4 P(x) 0.0666 0.1178…

Q: On a single draw from a deck of 52 playing cards, what is the probability of getting: Multiple…

A: (a)   Obtain the probability of drawing spade in a standard deck of 52 cards.   The probability of…

Q: A cafe receives an average of 4 orders of Mocha Frappe every 5 minutes. What is the probability of…

A: We have to find given probability.

Q: A coin is tossed eight times. What is the probability that the outcome will be eight heads, given…

A:

Q: On the average the traffic pattern at an intersection is as follows: • Twice as many cars go through…

A: Let us assume  The number of cars= c The number of vans= v The number of bicycles= b The number of…

Q: In a group of 25 people, a person tells a rumor to a second person, who in turn tells it to a third…

A: Given information: It is given that, in a group of 25 people, a person tells a rumor to a second…

Q: Suppose that 30 percent of an adult population have an infectious disease and 40 percent have a…

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.