Q2/ Of 80 students, 20 are studying French, 40 are studying Spanish, and 30 are studying French and Spanish. If a student is chosen at random, find the probability that the student (i) is studying French or Spanish, (ii) is studying neither French nor Spanish. (5 marks)

Q: A recent study of how Americans spend their leisure time surveyed workers employed more than 5…

A: From the provided information, The probability that an employee has 2 weeks of vacation time to be…

Q: 35% of UR students are international students. Of those who are international students, 15% are on…

A: Solution: Let A be the UR students are international students and B be the UR students are on the…

Q: According to Nielsen Media Research, 30% of televisions are tuned to NFL Monday Night Football when…

A: Given: p=0.30n=50

Q: According to Nielsen Media Research, 30% of televisions are tuned to NFL Monday Night Football when…

A: From the provided information, 30% of televisions are tuned to NFL Monday Night Football when it is…

Q: A recent survey showed that the probability of a student using an on-line motorcycle taxi is 0.6.…

A: From the provided information, Probability of a student using an on-line motorcycle taxi is 0.6. Let…

Q: Be a batch of 20 defective and 80 non-defective items, of which 2 are chosen without replacement.…

A:

Q: Of the items manufactured by a certain process, 20% are defective. Of the defective items, 60% can…

A: a. The percentage of defectives in the items manufactured by a certain process is 20%, of which 60%…

Q: In a class with 40 students, 24 are girls and 16 are boys. In the final exam, 2 girls and 2 boys…

A: Probability is the measure take value between 0 to 1. It does not take values greater than 1. It…

Q: A committee of 3 is being formed randomly from the employees at a school. 4 administrators, 30…

A:

Q: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A:

Q: Out of 100 students, 65 go to school by bus, 15 walk to school and the remaining 20 go to school by…

A: There are totally 100 students in which 65 go to school by bus, 15 walk to school and the remaining…

Q: Q2/ Of 80 students, 20 are studying French, 40 are studying Spanish, and 30 are studying French and…

A: Total number of students i.e. nT=80 Number of students studying French i.e. nF=20 Number of students…

Q: A sample of 76 items manufactured by a machine contains 13 defective items and the rest are…

A: There are 76 items manufactured and out of them13 are defective. Hence, 76-13 = 63 are non…

Q: In a class of 2525 students, 3553​ of the class are boys, 2552​ of the class have ​blonde hair, and…

A: It is given that 3/5 of class are boys, 2/5 of class have blonde hair, and 1/5 of the class are boys…

Q: A committee of 3 people is selected at random from 5 men and 5 women. What is the probability that…

A:

Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 75% live to be…

A: Given: Animal shelter has a 65% adoption rate for puppies. 75% of puppies that remain in shelter…

Q: A lot contains 10 white bulbs and 20 yellow bulbs out of which 3 white bulbs and 5 yellow bulbs are…

A: Number of white bulb is 10. Number of white bulb is 20. Number of defective white bulb are 3. Number…

Q: At​ Technodynamics, Inc., a​ randomly-selected hiring committee of 4 people is formed from a group…

A: From the given information, 4 people are selected from the group of 6 employees from marketing and 4…

Q: At a local college, 297 of the male students are smokers and 693 are non-smokers. Of the female…

A: The fraction of males who are non smokers=         (non smoker.males/total males)…

Q: 3 An animal shelter has a 61% adoption rate for puppies. Of all puppies in the shelter, 77% live to…

A: The probability of selecting two items whos individual probability are p and q is given by; P(x)=p·q

Q: 2. A Math club with five male senior members and eight female senior members elects three other…

A:

Q: 58% of all violent felons in the prison system are repeat offenders. If 43 violent felons are…

A: Here Normal approximation to binomial dist. is applicable  as np and nq are greater than 10

Q: When adults with smartphones are randomly selected, it was found that 54% of them use their phones…

A: Probability of an adult using phone in meetings=p=0.54 sample size considered here=20 Let X be the…

Q: In a class of 25 students, 3 of the class are boys, - of 5 the class have blonde hair, 5 1 of the…

A: Total number of students = 25 Number of boys B = 35 of the class  number of students with blonde…

Q: what is the probability that between 156 and 240 customers will be satisfied with the service?

A: Given Data : sample size,n= 400 probability of not satisfied = 0.6 probability of…

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: A customer service agent will make five cold calls tomorrow. If the probability that a randomly…

A:

Q: According to Nielsen Media Research, 30% of televisions are tuned to NFL Monday Night Football when…

A: Let x be follows binomial distribution with parameters n = 50 and p = 0.30 The pdf of binomial…

Q: A middle school is putting together a group of   10   children to represent the school at various…

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Q: Suppose that it is known that 95% of people vaccinated with a serum is are protected from a…

A:

Q: Kim has a strong first​ serve; whenever it is good​ (that is,​ in) she wins the point 85​% of the…

A: Given wins the point 85​% of the time.Whenever her second serve is​ good, she wins the point 40​% of…

Q: If mary has 10 pop cans and there are 4 Coca Cola cans. Let’s assume Mary will place these cans in a…

A: The number of ways in which 10 cans can be arranged in a line at random , with 4 of them being…

Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 72% live to be…

A: Let us denote A= a puppy gets adopted  B= lives 7 years or older given that  P(A)=65%=0.65 P( B | A'…

Q: A lot of 100 bulbs from manufacturing process is known to contain 10 defective and 90 non-defective…

A:

Q: 26% of couples who plan to marry want to do a destination wedding. In a random sample of 12 couple…

A: Given: p=0.26 n=12 The probability that at most 3 couples want to do a destination wedding is…

Q: If the probability that a marriage will end in divorce within 10 years is 0.3, what is the…

A:

Q: World Wide Insurance Company found that 53% of the residents of a city had home- owner's insurance…

A: From the provided information, Company found that 53% of the residents of a city had home-owner’s…

Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 75% live to be…

A: Let us denote A= a puppy gets adopted  B= lives 7 years or older given that  P(A)=65%=0.65 P( B | A'…

Q: At a class, 80% are female and 40% of the students like to swim. Of the students thatlike to swim,…

A: P(Female) = 0.8 P(Male) = 0.2 P(swim) = 0.4 P(Female | Swim) = 0.6 P(Male | Swim) = 0.4

Q: What is the probability that the 3 CDs are 2 jazz and 1 classical?

A: Three CDs are drawn randomly in succession without replacement . In  collection consisting of 5…

Q: An animal shelter had a 65 % adoption rate for puppies. Of all puppies in the shelter , 75% live to…

A:

Q: The probability of a new employee in a fast-food chain still being with the company at the end of 1…

A:

Q: A room has 3 lamps. From a collection of 10 light bulbs of which 6 are not good, a person selects 3…

A:

Q: A college sends a survey to members of the class of 2016.  Of the 1254 people who graduated that…

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Q: (3) An animal shelter has a 61% adoption rate for puppies. Of all puppies in the shelter, 77% live…

A:

Q: . Assume that 75 percent of the students at the university have taken 4 years of high school math.…

A: To solve this problem, we will need to figure out what percentage of students plan to major in…

Q: When adults with smartphones are randomly selected, it was found that 54% of them use their phones…

A: Given that  When adults with smartphones are randomly selected, it was found that 54% of them use…

Q: Of 27 employees at a local​ supermarket, 15 work as cashiers and 12 stock shelves. If 3 employees…

A: Given: Total number of employees, n=27 Number of cashiers, A=15 Number of stock shelves, B=12 The…

Q: A car rental agency has 99 midsized and 1111 compact cars on its​ lot, from which 66 will be…

A: It is provided that a car rental agency has 9 midsized and 11 compact cars.And each car is equally…

Q: (b) Among the 300 employees of a company, 240 are union members, whereas the others are not. If six…

A: Given Total number of employees in the company N = 300 Number of union members among the 300…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.