, In this time of pandemic, new indoor plant lovers emerge - flexing their potted plants and proudly calling themselves "plantitos" and "plantitas." Suppose a plant shop is selling 5 rose pincushion cacti but there are 2 here which are not yet fully established. Fascinated by its beauty, you decided to buy 3 of these cacti at random. Determine the (a) probability distribution (tabulate) and the (b) cumulative distribution of the random variable X representing the number of the cacti that are not established.

Q: on a tropical day at the beach in southern California, a beachgoer will encounter 12 different…

A:

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 600 plants with white…

A: The number of white flower plant are 600. The number of purple flower plant are 250.

Q: A factory produces 50 cars a day. Out of the 50 cars, 2 of them will most likely have a problem with…

A: The total number of cars produced in a dayThe number of cars will mostly likely have a problem with…

Q: A doctor preformed a study on 100 patients taking medication for the same illness. At the end of the…

A: Design of experiments

Q: A history class is comprised of 10 female and 3 male students. If the instructor of the class…

A: Given that the information  Number of female students =10 Number of Male students=3 Total =17 we…

Q: At a local​ company, 15​% of the employees are women. Every​ day, 7​% of the women bring their lunch…

A:

Q: Three cards are drawn in succession from a deck without replacement. Find the probability…

A: There are 13 hearts in a full set of 52 cards. 3 cards are drawn, one by one, without replacement.

Q: Two dice are thrown simultaneously.Find the probability that the number of spots upper host is 9 or…

A: When two dice are thrown, there are 6*6 = 36 outcomes.

Q: Suppose that 60% of all California motorists are insured. Find the probability  that more than 55%…

A: given data  P(insured) = p = 0.60 sample size n = 100 P(p^>0.55) = ?

Q: A fast-food restaurant gets an average of 3 orders per minute during the lunch rush. What is the…

A: A fast-food restaurant gets an average of 3 orders per minute during the lunch rush.i.e =3 per…

Q: in the world series two teams play until one team has won four games. Suppose Atlanta is playing…

A: given data  P(toronta win) = p = 3/8 to win series have to win four game   P(toronto win series on…

Q: A famous artist wishes to insure his dog for half a million pesos. The insurance company estimates…

A: Let the premium charged by the insurance company = x Total Loss = -x , P(Total Loss) = 0.003 50%…

Q: Tereasa is about to draw a card at random from a standard deck of 52 playing cards. If she draws a…

A: A standard deck consists of 52 cards. n(S)=52 If she draws a red card or a face card she will win a…

Q: Consider the case where the predetermined average number of bus arrivals at the Cubao Station is 6…

A: As given, the average number of bus arrivals at the Cubao Station is 6 per 15-minute period. This…

Q: The Dallas Mavericks play the Oklahoma City Thunder in a best of 7 game NBA playoff series. If the…

A: The given scenario follows binomial distribution with n=7 and p=0.40.

Q: If Bart can make only 40% of free throws in a basketball game, what is the probability that he will…

A: Sample size = 3 Probability = 40% = 0.40

Q: The construction time for a bridge depends on the weather. The project is expected to take 250…

A: As given that the construction time for a bridge depends on the weather. The project is expected to…

Q: The probability of a student at a university eating breakfast on campus is 0.2413. If one afternoon…

A: Obtain the probability that at least 2 of them had eaten their breakfast in college.   The…

Q: The average number of field mice per acre in a 5-acre wheat field is estimated to be 6. Find the…

A: Given : The average number of field mice per acre in a 5-acre wheat field is estimated to be 6.…

Q: Professor John is designing a water flask and he needs to know the probability that the filtration…

A: Given that Sample size (n)=365 data  Probability of failure=0.05  We have to find the probability…

Q: A web server's visit always comes from five sites. The percentages of known visits from sites 1,  2,…

A: Here given  a web server's visit always comes from five sites. The percentages of known visits from…

Q: Three archers are tasked to shoot a target 9 meters away. The probability that Archer 1, Archer 2,…

A:

Q: A jar contains 7 poker chips: 4 blue, 2 red and 1 white. You randomly select two chips from the jar.…

A: Given,no.of blue chips(b)=4no.of red chips(r)=2no.of white chips(w)=1Total no.of chips=7

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.