n a particular child clinic, 16% of patients are prescribed colic drops. Overall, 6% of the clinic’s patients have gastric problem. Out of all the people prescribed colic drops, 8% have gastric problem. If a patient has gastric problem, what is the probability that they will be prescribed colic drops?

Q: 5. At Jaxlyn's Garage, 200 cars were inspected and repaired. There were 92 cars that needed new…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes of the…

Q: 4. A box of ten items contains 7 good and 3 defective items. If a sample of two items is selected,…

A: 4. There are totally 10 items in a box out of which 7 are good and 3 are defective. The sample of…

Q: A patient taking an antiviral medication recovers from a respiratory disease with 35% probability.…

A: The probability is p=0.35 and the value of n is 18. Therefore m=np=0.35×18=6.3 Therefore the…

Q: A restaurant critic has 10 new food trucks to try. If she tries half of them this week, what is the…

A: The probability formula is, Probability=Number of favourable outcomesTotal outcomes A restaurant…

Q: A corporation has 15,000 employees. Sixty-two percent of the employees are male. Twenty three…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: (a) If the selected rat is found to be infected, what is the probability that it is a female? (b) If…

A: Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of…

Q: Out of 10 cars in a car sales service, the air conditioner is defective. For a company that buys 4…

A: Given that Total number of cars = 10  Number of Defective car = 1

Q: In a particular child clinic, 17% of patients are prescribed colic drops. Overall, 7% of the…

A: According to the provided information, Let C denote the event that the patient is prescribed for the…

Q: The medication Nealapril is used to lower high blood pressure. It is known to cause headaches in…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p)=…

Q: A large industrial firm uses three local motels to provide overnight accommodations for its clients.…

A: Let R represents clients that are assigned rooms at Ramada Inn. Let S represents clients that are…

Q: 6. If the probabilities are 0.10, 0.14, 0.23, and 0.25, respectively, that a student buying a new…

A: The solution is as follows,

Q: Between May 3, 2009 and June 2, 2012, 54% of Kickstarter pitches were unsuccessful. What is the…

A: Introduction: Denote p as the true population proportion of projects that were unsuccessful. Since…

Q: 10% of the engines manufactured on an assembly line are defective. What is the probability that the…

A: Given that 10% of the engines are defective And 90% of the engines are non-defectives   Then p=0.9…

Q: A local school district studying the possibility of requiring that all children be vaccinated…

A:

Q: A small bag of skittles has 8 red, 9 blue, and 3 green candies. A box of chocolates has 4 cherry, 10…

A:

Q: Prior to a municipal election, a public-opinion poll determined that the probability of each of the…

A:

Q: 3) A sports commentator claims that 45% of all football injuries are knee injuries. If this claim is…

A:

Q: In a factory which manufactures bolts, machines A, B and C manufacture 25%, 35 % and 40 % of the…

A: Given that in a factory which manufactures bolts, machines A, B and C manufacture 25%, 35% and 40%…

Q: In a random survey of students concerning student activities, 31 engineering majors, 27 business…

A: Find probability

Q: Fifty percent of all technical assistants would like to have a PC. Eighty percent of all technical…

A: Given Information: 50% of all technical assistants would like to have a PC. That is PPC=0.50 80% of…

Q: 1. One prominent physician claims that 70% of those with lung cancer are chain smoker. If his…

A:

Q: (b) In one high school, the athletic director found that 8% of the varsity athletes had concussions…

A: Solution: Let A be the event that the athletes had concussions while playing at the school. P( A)=…

Q: (iii) If there are a total of 100 concrete piles, what is the probability that 80 concrete piles are…

A: Binomial distribution, and standard normal dist are applicable to solve the (iii) part

Q: In an NBA championship series, the team that wins four games out of seven wins. Assume that team A…

A:

Q: n a particular child clinic, 17% of patients are prescribed colic drops. Overall, 7% of the clinic’s…

A: Let C denote the event that the patient is prescribed for colic drop, G denote that the patient…

Q: The members of a consulting firm rent cars from three rental agencies: 20% from Agency A, 50% from…

A: Probability is the chance of occurrence of an event.

Q: 4. A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds.…

A: From the given information, Total time taken by traffic light is 80 seconds. For green it takes 45…

Q: a) If you choose a person at random, what is the probability that the person is color-blind? b) If a…

A: E1: Men   P(E1) = 0.5 E2: Female  P(E2) = 0.5 A: Color Blind P(A|E1) = 0.05 P(A|E2) = 0.0025

Q: Harley Davidson, director of quality control for the Kyoto Motor company, is conducting his monthly…

A:

Q: All Seasons Plumbing has two service trucks that frequently need repair. If the prob- Alliy the…

A: From the provided information, Let A be the event which represents first truck is available and B be…

Q: Q9. A manufacturer of seats for automobiles gets its textiles from three different suppliers, Acme…

A:

Q: about 7% of the population of a large country is nervous around strangers. If two people are…

A: The probability that both are nervous around strangers is,

Q: Real estate ads suggest that 58 % of homes for sale have garages, 18 % have swimming pools, and 17 %…

A: Given : Real estate ads suggest that 58 % of homes for sale have garages,18 % have swimming pools,…

Q: Eye Color Consider a husband and wife with brown eyes who have 0.75 probability of having children…

A: Given, A husband and wife with brown eyes who have 0.75 probability of having children with brown…

Q: 4) The Tauroto region contains 31 different species of IceCream-type small monsters. Each capture of…

A: Given, The tauroto region contains 31 different species of Icecream-type small monsters Each capture…

Q: 3. A constructor of airport terminals has a 0.40 chance of winning a contract for the construction…

A: Given that P(M) = 0.4,P(I )=0.3,P(both ) =0.1 P(M or I ) =?

Q: 19 involving the rental cars with navigation systems. Assume that the car lot contains 20 percent…

A: Given information- P (Corvettes) = 0.20 P (BMW) = 0.35 P (Jaguars) = 0.45 P (Navigation systems l…

Q: (a) a client will be assigned a room with faulty plumbing?  (b) a person with a room having faulty…

A: Here use probability tree diagram

Q: A manufacturer of aluminum sheets, finds that on the average, 12.5% of his sheets are rejected…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: 3) If my Halloween candy bag contains 4 Reese's, 6 bags of Skittles, and 30 other pieces of candy,…

A: We have to find given probability.

Q: The industry standards suggest that 10% of new vehicles require warranty service within the first…

A:

Q: A total of 42 percent of the voters in a certain city classify themselves as Independents, whereas…

A: Let I be the event representing the Independent voters. Let L be the event representing the Liberal…

Q: Q1: If one card is drawn from a standard deck, what is the probability that the card is a face card?…

A: No. of cards in astandard deck = 52No. of face cards in a deck = 12

Q: a restaurant manager was listing the type of items not ordered by her clients, 80 percent of whom…

A: Let people who have meat be denoted by M and those who have dessert be denoted by D. Then,…

Q: A large industrial firm uses 3 local motels to provide overnight accommodations for its clients.…

A: Given that a large industrial firm uses 3 local motels to provide overnight accommodations for its…

Q: A retail outlet receives radios from three electrical appliance companies. The outlet receives20% of…

A: The probability is the chances of occurrence and its values lies between 0 and 1. Sometimes the…

Q: The quality-control department of Starr Communications, the manufacturer of video-game cartridges,…

A: Let,A be the cartridges sold have video defectsB be the cartridges sold have audio defectsFrom the…

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.