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: Suppose that a pond contains 50 fish of which 30 are redfish. If we catch 10  with replacement,…

A: 30 of 50 fishes in the pond is redfish. So, probabiility of getting a redfish = 30/50 = 0.6. Hence…

Q: f 9 out of 1496 people have a certain genetic defect, what is the probability of selecting three…

A:

Q: The World Economic Forum found that 12% of the U.S. population earns more than $2M per year. Amazon…

A:

Q: Suppose that 67% of all SCC students are part-time students. Use the binomial probability formula to…

A: Given that  the probability of all SSC students that are part time  i.e probability of success=0.67…

Q: Suppose that five out of 20 liver transplants done at a hospital will fail within a year. Consider a…

A: From the provided information, Five out of 20 liver transplants done at a hospital will fail within…

Q: Assume that when adults with smartphones are randomly​ selected, 47​% use them in meetings or…

A:

Q: 20% of adults in the particular community have at least a bachelors degree. Suppose X is a binomial,…

A: It is given X is defined as the number of adults with at least a bachelors degree.

Q: Q15. In a network of 35 computers, 4 have a copy of a particularly critical file to sustain an…

A: The computers are chosen without replacement, which means that the hypergeometric distribution is…

Q: A bag contains 10 red, 12 white and 8 blue balls. Three balls are drawn at random from this bag.…

A:

Q: Assume that when adults with smartphones are randomly selected 55% of them using meetings or classes…

A:

Q: Suppose 3% of the people contacted by phone are receptive to a certain sales pitch and buy your…

A: given data  p = 0.03 n = 2000 P(x>100) = ?

Q: Suppose a certain towing service receive requests for assistant in an average of 10 per hour. Let…

A: Given, the number of requests for assistance received by a towing service is a Poisson process with…

Q: he unemployment rate in a city is 14%. If 6 people from the city are sampled at random, find the…

A: When there are n trials and probability is same for all trials , we use binomial distribution .

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: Assume that three adults are randomly selected without replacement from the 247,436,830 adults in…

A: 10% of adults in the United States use drugs

Q: Suppose that four out of 20 liver transplants done at a hospital will fail within a year. Consider a…

A: The given case follows a Binomial distribution with parameters, p = 4/20 = 0.2 n = 3   Now, we are…

Q: A recent study suggested that 70% of all eligible voters will vote in the next presidential…

A: Given Information: 70% of all eligible voters will vote in the next presidential election i.e., p =…

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: 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: Suppose a university has 10,000 students, of which 55% are female and 45% are male. If 40% of the…

A:

Q: 39.9​% of consumers believe that cash will be obsolete in the next 20 years. Assume that 7…

A: According to the given information,Probability of success in a trial, p = 39.9% = 0.399Total number…

Q: Suppose that a satellite defense system has 3 satellites that operate independently.  Each satellite…

A: It is needed to determine the probability distribution for the random variable X.

Q: A box contains 3 coins, where one coin is fair, one coin is two-headed, and one coin is weighted so…

A:

Q: SUPPOSE THAT YOU JUST RECEIVED A SHIPMENT OF SIX TELEVISIONS AND TWO  ARE DEFECTIVE. . IF TWO…

A: Given: Number of defective= 2 Total =6

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

A:

Q: Suppose that there are five corporations competing for six different contracts. If the contracts are…

A: Basic concepts of probability are used.

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: Suppose it takes a child between 4.5 and 12 minutes to eat an ice cream cone. Let X= the time, in…

A:

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: 39.9% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers…

A: Givenconsumers believe that cash will be obsolete in the next 20 years(p)=0.399sample size(n)=6Let…

Q: The probability that a randomly selected individual in a certain community has made an online…

A: We have to find out given probability...

Q: assume that when adults with smart phones are randomly selected, 54% use them in meetings or…

A: Introduction: A random sample of 5 adult smartphone users was selected. Each of the selected…

Q: Suppose the probability of someone speaking English in France is 40 %. Suppose we are to randomly…

A:

Q: Suppose that the population of a certain city is 40% males and 60% females. Suppose also that 50% of…

A:

Q: stock prices has a 0.6 probability of rising in any year. The change in the value of the index in…

A: According to the Bartleby guidelines experts solve only one question and a maximum of three sub…

Q: Find the probability that a lot of 100 items, of which five are defective, will be accepted in a…

A: Given that: Total number of items (N)=100  In which 5 are defective.  It is asked  to find…

Q: Assume that when adults with smart phones are randomly selected 53% use them in meetings or classes.…

A: Let X is a random variable that represents adults those use smartphone. In this case, binomial…

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.