Suppose that 24% of companies in a certain sector of the economy have announced plans to expand in the next year (and the other 76% will not). In a sample of 8 companies chosen at random from this population. If the random variable X is binomially distributed. Find the probability that the number of companies which have announced plans to expand in the next year will be (i) precisely three, (ii) fewer than three.

Q: 24 % of athletes at a large univeristy are business majors. If 4 athletes are selected at random,…

A: Given,n=4p=1-0.25=0.75q=0.25A random variable X~Binomial(n=4 , p=0.75)P(X=x)=4x0.75x0.254-x ;…

Q: Four balls are selected at random without replacement from an urn containing four white balls and…

A: Given data: The number of white balls is w=4. The number of blue balls is b=5. The expression for…

Q: Three pebbles are drawn without replacement from a box containing 5 red and 5 white marbles. If X is…

A: Given that three pebbles are drawn without replacement from a box containing 5 red and 5 white…

Q: A study was conducted to determine whether there were significant differences between medical…

A:

Q: Patients arrive at a hospital Accident and Emergency department at random at a rate of 6 per hour.…

A: given data λ = 6 per hourx = no. of patients in t houtP(x=X) = e-λt(λt)xx!

Q: In the first quarter of​ 2013, company A held approximately 76% of the wireless phone market in a​…

A:

Q: Suppose that 60% of all consumers favour internet shopping. If 5 consumers are randomly sampled and…

A: We have given that,  X be the random variable from binomial distribution with probability of success…

Q: a large population, 68% of the people have been vaccinated. If 5 people are randomly selected, what…

A: Given data, 68% of the people have been vaccinated p=0.68 If 5 people are randomly selected, n=5…

Q: A subway train will arrive every 8 minutes. Assume the time for the next train to arrive is a…

A: Solution: If X be the uniform random variable, then the probability density function of X is Let X…

Q: A jar contains green wrapped candies and yellow wrapped candies.  A person selects two wrapped…

A:

Q: What is the probability of finding exactly 5 green M&Ms in any one given bag?

A: Given: n= 40 P( green) = 0.15

Q: A bunch of 100 carrots were harvested from a garden. The farmer inspected four randomly selected…

A: There are total 100 carrots. 5 carrots are rotten. So (100-5)=95 carrots are good. The farmer can…

Q: uppose that in a certain community, 80% of drivers fasten their seat belt. Determine the probability…

A: Solution: Let X be the random variable that the number of drivers fasten their seat belt in certain…

Q: Ten percent of all undergraduates at a ceratin uninversity are chemistry majors. In a random sample…

A: From the provided information,Ten percent of all undergraduates at a ceratin university are…

Q: a) List each possible outcomefor the colors of the shirts if two shirts are drawn randomly from the…

A: In question, Given that a dresser drawer has blue shirts, yellow shirts, red shirts, and green…

Q: Suppose that 15% of a population is red-headed, and 10% of the same population is left-handed. If…

A: It is known that, if two events A and B are independent, then P(A and B) = P(A)P(B).

Q: A white goose hunter kills 60% of the geese he kills he shoots. Calculate the probability that with…

A: Probability that a white goose hunter kills the geese(p)=0.60sample size(n)=10Let "x" be that the…

Q: From a population of 3 million residents, 12 jurors are randomly selected. Suppose that 30% of the…

A: X=random variable denotes the population which belongs to hispanics

Q: At the cartons  produced by a company 3% have a puncture 6% have a smashed corner and 0.4% have both…

A: Given that , cartons produced by a company, 3% have a puncture, 6% have a smashed corner, and 0.4 %…

Q: Assume that when adults with smartphones are randomly​ selected,53​% use them in meetings or…

A:

Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

A:

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a…

A: Given,Mean μ = 88Standard deviation σ = 0.6

Q: In a tournament, the first team that wins 4 out of 7 games wins. Suppose that the probability that…

A: The tournament will have more than 6 games if each team wins 3 games after fist six matches. The…

Q: The unemployment rate in a city is 13%. If 6 people from the city are sampled at random, find the…

A:

Q: Q15. In a network of 40 computers, 4 have a copy of a particularly critical file to sustain an…

A:

Q: Components of a certain type are shipped to a supplier in batches of 40. Suppose that 50% of all…

A:

Q: The number of accidents at a certain intersection is a Poisson random variable. The probability that…

A: we have given that  The probability that there are 2 accidents in any given week is 3 times as much…

Q: If 2 of 20 tires are defective and 8 of them are randomly chosen for inspection.what is the…

A:

Q: Suppose that a company owns 500 computers. Each computer has an 11% probability of not working.…

A: It is given that n =19.

Q: From the seven hospitals in a city, a researcher wants to sample three hospitals for the purpose of…

A: Hiii

Q: A sample of 4 different calculators is randomly selected from a group containing19 that are…

A: Obtain the probability that at least one of the calculators is defective. The probability that at…

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.