In a city, assume 25% of citizens are smokers. When 20 people in the city are randomly surveyed, find each of the following probabilities. (a)  What is the probability that exactly 6 peoples are smokers? (b)  What is the probability that at least 3 people are smokers?

Q: From experience, an airline knows that only 85% of the passengers booked for a certain flight…

A: Given Information :  From experience, an airline knows that only 85% of the passengers booked for a…

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: 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: In a survey in a rural area, it is found that 32% of families from a barrio owns a milking cow and…

A: Given: Family owns a milking cow, P(A)=0.32. Family owns a poultry, P(B)=0.41. Family owns both,…

Q: In a family with 7​children, excluding multiple​ births, what is the probability of having7 ​girls?…

A: total no.of possible outcomes of a family having a 7 children iss=27s=128

Q: When packaging a product, a manufacturer finds that one packet in twenty is underweight. Determine…

A:

Q: In a family with 7 ​children, excluding multiple​ births, what is the probability of having 4…

A: The objective of this question is to find the probability of a family with 7 children having 4 boys…

Q: A box has 34 orange hats and 13 yellow hats. If you pick 3 hats without replacemen

A: Given Data population size, N = 34+13 = 43 number of successes, m = 34 sample…

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: Danielle buys a bag of cookies that contains 8 chocolate chip cookies, 6 peanut butter cookies, 6…

A:

Q: A survey, conducted by a student org, was performed on the class of 100 students, the information…

A:

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 American Automobile Association reports that of the fatal car and truck accidents 54% are caused…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: 75% of the students are commuters, 45% are female, and 30% are female commuters. If selected at…

A: Consider the following events, C=selected student is a commuterF=selected student is a female Given…

Q: Airline flights from Boston to Atlanta are on time 50 % of the time. Suppose 6 flights are randomly…

A: Solution: Let X be the number of flights are on time and n be the number of airline flights from…

Q: A couple is planning to have 6 children. If the true probability of a baby girl being born is 0.521,…

A:

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 63% of all…

A: Solution-: Given: n=5,p=0.63 (Or 63%) Our aim to find, (a) P(X=2)=? (b) P(X≤3)=?

Q: A farmer is going to randomly select an animal from their farm. There are 5 cows, 3 goats, and 12…

A: There are 5 cows, 3 goats and 12 chickens. N=20 animals

Q: Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.…

A: given data  P(see meteorin next 10 minute) = p = 0.56 odds of seeing meteor in next 10 minutes = ?

Q: In a large population, 55% of the people have been vaccinated. If 3 people are randomly selected,…

A: Let "X" be the people that have been vaccinated.

Q: The probability that a house in an urban area will be burglarized is 6​%. If 47 houses are randomly​…

A:

Q: One of the 3 shooters is randomly chosen to hit the target once. For each shooter the probabilities…

A: E1: First Shooter        P(E1) = 1/3 E2: Second Shooter  P(E2) = 1/3 E3: Third Shooter      P(E3) =…

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four…

A: The team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors.

Q: A group consists of 10 girls and 8 boys. They are to sit sit side by side on a bench. What is the…

A: Given that there are 10 girls and 8 boys. So total (10+8)=18 girls and boys. So 18 persons can be…

Q: A shop has 72 customers in two hours . What is the probability that at most three customers will go…

A: There are 72 customers in 2 hours (120 minutes). So, average number of customers in a minute =…

Q: How to calculate the probability that 2 out of the 19 patients won't

A: Given that The probability that a patient does not recover from a certain stomach disease is 9.0%.…

Q: In a population where 34%34% of voters prefer Candidate A, an organization conducts a poll of 1010…

A: Let, X= number of voters who will prefer candidate A. Given that the probability of voters who…

Q: At a class, 80% are female and 30% of the students like to swim. Of the students that like to swim,…

A:

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

A:

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

Q: In a large population, 40 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: Suppose Emerson loses 33​% of all checker games.   Use this result to determine the probability that…

A: Given information- Probability of losing checker game, q = 0.33 Probability of winning checker game,…

Q: don't

A: Since the total number of people are 12  The number of ways they can sit together is  12! =…

Q: In a large population, 68 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: In a large population, 63 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Introduction: Denote X as the random variable of interest here, which is the number of people who…

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

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.