Five individuals have responded to a request by a blood bank for blood donations. None of them has donated before, so their blood types are unknown. Suppose only type O+ is desired and only one of the five actually has this type. If the potential donors are selected in random order for typing, what is the probability that at most four individuals must be typed to obtain the desired type?

Q: Thirty-five rose bushes are available from a nursery containing 16 red bushes, 11 yellow bushes, and…

A:

Q: The 118 passenger list for a particular flight includes five terrorists. What is the probability…

A: Here, n = 20. Consider X denotes the passenger is terrorists. The probability of success is, p=5118…

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: Imagine that 60 passengers on a cruise ship might be carrying a rare virus, and government health…

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Q: A survey shows that about 65% of all respondents chose to have dogs over cats. Suppose that 15…

A:

Q: A survey showed that 50% of customers like Toyota cars, 40% customers like Nissan cars, and 70% like…

A: A survey showed that 50% of customers like Toyota cars, P(toyota) = 0.5 40% customers like Nissan…

Q: Amarble is selected at random from a jar containing 2 red marbles, 3 yellow marbles, and 4 green…

A: GivenA jar containsNo.of red marbles=2No.of yellow marbles = 3No.of green marbles = 4Total no.of…

Q: There are two groups of subjects one of which consists of 5 science subjects and 3 engineering…

A: Here,   P(Engineering |Group 1)=3/8 P(Group 1) =2/6 P(Engineering |Group 2)=5/8 P(Group 2) =4/6

Q: When two purple flowers (RB) are crossed, there are four equally likely possible outcomes for the…

A: Number of possible outcomes, n(S) = 4

Q: Subjects were randomly chosen for a clinical trial consisting of 87 women and 88 men. 17 of the…

A:

Q: A person with tuberculosis is given a chest​ x-ray. Four tuberculosis​ x-ray specialists examine…

A: It is given that p=0.89 and n=4.

Q: One urn contains six red and four green marbles and a second urn contains seven red and three green…

A: Answer can be given by using probability concepts.

Q: Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on…

A: It is given that- Probability that deer ticks carry Lyme disease is - PLyme=0.18 Probability that…

Q: Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on…

A: Given : PL=0.14PH=0.08PL∩H|L∪H=0.08 where L denotes the event that a randomly selected tick carries…

Q: 0% by A2, and 40 % by A3. Suppose further that 1% of the items produced by A1, 2% by A2 and 3% by A3…

A: The probability of an item produced by Machine A1 is, PA1=0.1. The probability of an item produced…

Q: Suppose that a particular surveillance system has a 99.9% chance of correctly identifying someone…

A: Given Information: A surveillance system has a 99.9% chance of correctly identifying someone who is…

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 student has a total of 164 songs on his MP3 player, 69 of which are old favorites by the Beatles.…

A: We have given that on the MP3 player of a student out of 164 songs, 69 are old favorites by the…

Q: A bank executive is presented with loan applications from 10 people. The profiles of the applicants…

A: Given: Population size is N=10. Random sample size is n=6. Number of success is S=5. Determine the…

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

A:

Q: marketing firm considers 200 fast food orders of which 110 are from McDonalds, 158 are accurate, and…

A:

Q: Urn 1 contains 2 red and 4 blue marbles, urn 2 contains 10 red and 2 blue marbles. If an urn is…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: A national virological survey identified that 65% of people in a particular city was infected with…

A: Given,p=0.65q=1-0.65q=0.35n=4X=no.of people infected with SARS-cov2 virusX~Binomial(n=4 ,…

Q: In Oman Oil, Plant I employs 5 production and 3 maintenance engineers; another plant of the same…

A: It was stated that in Oman oil, Plant 1 employs 5 production and 3 maintenance engineers.  Another…

Q: If 12 out of 1502 people have a certain genetic defect, what is the probability of selecting three…

A:

Q: A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood…

A:

Q: Suppose a factory produces computer chips, and 2% of the chips are defective. If a sample of 100…

A: The probability that exactly 3 chips are defective is obtained below as follows: The conditions for…

Q: This bag contains exactly 4 marbles, of which 3 are black and 1 is white. A marble is picked and not…

A:

Q: A bag of 100 tulips bulbs purchased from a nursery contains 40 read tulip bulbs, 35 yellow tulip…

A: The objective of this question is to find the probability of selecting a red tulip bulb from a bag…

Q: A lot contains 80 items without defects and 20 with defects. Two items are chosen at random without…

A: Given : A lot contains 80 items without defects and 20 with defects n = 80+20 = 100

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A: For the given data Find p ( urn 2 / white ) =?

Q: HGE, and 6% of the ticks that carry at least one of these diseases in fact carry both of them. If a…

A: Solution

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.