For a group of 115 people, what is the expected number of days of the year that are birthdays of exactly 4 people?

Q: Assume that 15​% of people are​ left-handed. Suppose 12 people are selected at random. What's the…

A: Solution

Q: A Social Security number consists of nine digits in a particular order, and repetition of digits is…

A: A security code has number of digits = 9  which means there are 9 places where 9 digits can be…

Q: According to a study by Oxford University, 75% of all Brits can do routine computations. If an…

A: p = 0.75 n = 11

Q: A group of 15 undergraduate and 15 graduate students are in a room. If 10 of the 30 students are…

A:

Q: A group of 300 people are being split into teams of 3 (where order of teams and order within a team…

A: Given that: Number of people in a group, n = 300 Here, each team containing 3 people, x = 3

Q: A Social Security number consists of nine digits in a particular order, and repetition of digits is…

A: Given taht A Social Security number consists of nine digits in a particular​ order ( repetations…

Q: (Based on first probability) : Suppose there are N = 8 boys from which n = 5 are to be selected to…

A:

Q: What is the probability that a day of the week selected at random will be Tuesday?

A: Solution: A week contains 7 days.

Q: A combination for a safe consists of four numbers between 0 and 9, and the safe is designed so that…

A: A combination of safe consists of four numbers between 0 and 9, the numbers can be repeated. Since…

Q: Assume that the monthly worldwide average number of airplaine crashes of commercial airlines is 2.2.…

A: poisson distribution is given by

Q: from a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men…

A: We have given that 3 men and 4 men. Let p be the probability of men  Let X be the number of men.…

Q: Suppose that, on average, 2 people in 1000 makes a numerical error in preparing his or her income…

A: Given data: Sample size, n = 6000 Probability of numerical error in preparing income tax return,…

Q: In a particular lottery, the players must choose any 6 numbers from 1 to 49 with no repeats. How…

A:

Q: Suppose that 10% of people own dogs. If you pick two people at random, what is the probability that…

A: From the provided information, 10% of people own dogs that is p = 0.10 Sample size (n) = 2 X~B (2,…

Q: A Social Security number consists of nine digits in a particular order, and repetition of digits is…

A:

Q: What is the probability that a leap year selected at random will contain 53 Sundays?

A:

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: In a lottery, 3000 tickets are sold for $1 each. One first prize of $5000, 1 second prize of $1000,…

A: Expected value:The expected value of a random variable is the sum of the possible values that the…

Q: If 10 cards are to be chosen at random (without replacement) from an ordinary deck of 52 cards, find…

A:

Q: according to a recent survey 85% of voters are in favor of moving election day from the tuesday…

A: Binomial distribution:A random variable is said to follow binomial distribution if it satisfies the…

Q: In a sequence of nine Bernoulli trials, the probability of success is 0.68. Find the probability…

A:

Q: In a New York State daily lottery game, a sequence of four digits (not necessarily different) in the…

A:

Q: From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men…

A: Introduction:The probability model for an experiment, where k successes are obtained in n trials…

Q: If batches of 7 are chosen repeatedly, what is the probability that the first group where all 7…

A:

Q: If you selected two of these stocks at random, what is the probability that both the stocks in your…

A: As given in the question n(s) total number of outcomes in sample space. So n(s) is number of ways…

Q: A moving company has a truck filled for deliveries to ten different sites. If the order of the…

A: Factorial of an integer:The factorial of an integer is the product of all positive integers less…

Q: A fair coin is flipped three times. What is the probability that at least two consecutive heads…

A: Coin is tossed 3 times

Q: Suppose that from a standard deck, you draw three cards without replacement. What is the expected…

A:

Q: A group of 30 people is selected at random. What is the probability that at least 2 of them will…

A: Given : A group of 30 people is selected at random.   Question : What is the probability that at…

Q: Suppose that nine-digit Social Security numbers are assigned at random (the numbers may start with…

A: Given: Here nine-digit social security number are assigned at random We select a number randomly, We…

Q: Suppose that 31% of people own dogs. If you pick two people at random, what is the probability that…

A: Here.  We will use : P(A n B ) = P(A) × P(B) Given data: Suppose that 31% of people own dogs. If you…

Q: If we randomly select one of the customers represented in the table, what is the probability that…

A: Here given frequency distribution table

Q: Suppose that 68% of people are left handed. If 24 people are selected at random, what is the…

A: Here, probability that the people are left handed is 0.68 and sample size 'n' is 24.

Q: What is the probability that a leap year selected at random will contain either 53 Thursdays or 53…

A:

Q: A group of 20 people is selected at random. What is the probability that at least two of them have…

A: The probability that 1st person having the birthday is 365/365.The probability that 2nd person…

Q: In a group of 8 people, what is the probability that they all have different birthdays? [Assume that…

A: The total number of days is 365.

Q: If all sequences of six characters are equally likely, what is the probability that the license…

A: If a license plate does not contain any duplicate number i.e all 6 characters are different, then no…

Q: What is the probability that a day of the week selected at random is Wednesday

A: There are 7 days in a week. Let S={Mon,Tue,Wed,Thurs,Fri,Sat,Sun} No of Wednesdays in a week=1 No of…

Q: Suppose 13 people want to schedule a regular meeting one evening a week. What is the probability…

A: Given: Number of people, n=13. The objective is to find the probability that there is an evening…

Q: n a New York State daily lottery game, a sequence of five digits (not necessarily different) in the…

A: the probability that four of the five digits are the same

Q: Find the probability that in 5 tossings, a perfect coin turns up head at least 3 times in…

A:

Q: Suppose that n people throw their hats in a box and then each pick one hat at random. (Each hat can…

A:

Q: In a New York State daily lottery game, a sequence of three digits (not necessarily different) in…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: In a New York State daily lottery game, a sequence of four digits (not necessarily different) in the…

A: For each digit, there are 10 choices. Because there are 10 digits in 0-9. So the total number of…

Q: In a given year a factory has a 20% probability of having an accident about every how many years…

A: In a given year a factory has a 20% probability of having an accident   So the probability of…

Q: What is the probability that in a group of n people at least two of them will have the same…

A: Introduction :

Q: Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that…

A: Given: p (people own dogs) = 0.35 We will assume independence

Q: . Suppose an ordinary six-sided die is rolled repeatedly and the outcome is noted on each roll. What…

A: Given :  X is a random variable shows the number of trials until third 6 occur.

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.