Suppose that in a senior college class of 500 students, it is found that 210 play cricket, 258 play football, 216 play table tennis, 122 play cricket and football both, 83 play football and table tennis both, 97 play cricket and table tennis both, and 52 play all these sports. If a member of this class is selected at random. Find the probability that the student: a) Plays cricket but does not play football b) Plays football and table tennis but does not play cricket c) Neither plays cricket nor football

Q: Suppose a bag contains two coins, one coin is fair, and the other is a two-headed coin (heads on…

A: E1: Fair coin  P(E1) = 0.5 E2: Biased coin   P(E2) = 0.5 A: All three tosses are head P(A|E1) = 0.5…

Q: If 75% of all purchases at a certain store are made with a credit card and X is the number among 100…

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

Q: Consider an insurer that offers 2 types of policy: home insurance and car insurance. 87% of all…

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Q: A public survey reported that 5% of the people now in the community are afraid of walking alone in…

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Q: A group of tourists composing of 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans arrived in the…

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Q: Suppose in a particular college, 60% of the student population is female. (a) Calculate the…

A: Given, 60% of the student population is female. p = 0.6 Sample size n = 10 For a binomial…

Q: Suppose that, of all the customers at a coffee shop, 70% purchase a cup of coffee; 40% purchase a…

A: The provided information is  P(Coffee)=0.70 P(Cake)=0.40 P(Coffee and Cake)=0.20

Q: Three newspapers A, B and C, are published in a city and a survey of readers indicates the…

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Q: A survey determines that six out of every ten Niceville residents shop at Walmart. In a group of 10…

A: Given data, n=10 x=6 p=x/n =0.60 P(X>=8)=?

Q: Assume that 15% of the people in your expedition trip own a mobile phone, and you are randomly…

A: Given that n=2,p=0.15

Q: Suppose that 30% of all voters prefer Candidate A. If 8 people are chosen at random for a poll,…

A: We have given that  n=8 , p=30%=0.30 , q=1-0.30=0.70 X~Binomial(n=8 , p=0.30)

Q: Suppose that in the barangay,three out of five are registered voters. If 10 people selected at…

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Q: Suppose that a box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz…

A: A box containing music CDs has 4 with country music, 6 with rock music, 3 with jazz music, and 7…

Q: A jury pool has 18 men and 19 women, from which 12 jurors will be selected. Assuming that each…

A: The given data are: Number of men = 18 Number of women = 19 Number of people selected = 12 Total…

Q: a boy chosen at random played exactly one sport b. a boy chosen at random played baseball, given…

A: Given : Total boys are 250 , 230 played baseball , 140 played soccer , 50 played both. Our aim is to…

Q: f 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that: a.…

A: Number of cards for dealt is 7. Total number of cards in a deck is 52.

Q: What is the probability of finding exactly 5 green M&Ms in any one given bag?

A: Given: n= 40 P( green) = 0.15

Q: Suppose that 60% of all adults regularly consume coffee, 40% regularly consume carbonated soda, and…

A: If A and B denotes two events, the probability PA∪B denotes the probability of happening of either…

Q: An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10…

A: There are total (5+10+12+10+8)=45 students.  Among them (12+10)=22 are mechanical or electrical…

Q: In poker, a flush is a five-card hand in which all cards are from the same suit hearts, diamonds,…

A: There are 13 hearts, 13 diamonds, 13 spades, 13 clubs in the 52-card deck. The number of possible…

Q: An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is…

A: given that,  5 red balls 6 blue balls 8 green balls total number of balls = 19 we have to choose 3…

Q: If 60% of all women are employed outside the home, find the probability that in a sample of 10…

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Q: In a factory, robots 1, 2, and 3 produce wires of the same length, with 2%, 1%, and 3% defective…

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Q: Q1/(a) Of 120 students, 60 are studying French, 50 are studying Spanish, and 20 are studying French…

A: Note: Since you have posted multiple independent questions in the same request, we will solve the…

Q: In a study it is found that 38% of respondents listen to the radio in the car. Of those who listen…

A: Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you…

Q: From a group of 100 male students in a small city college, 60 play basketball, 50 play volleyball…

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Q: Suppose that a certain precinct contains 12 voters, of which 7 are Democrats and 5 are Republicans.…

A: From the given information, there are 7 Democrats and 5 are Republicans. The total number of voters…

Q: Suppose that 70% of all voters prefer Candidate A. If 7 people are chosen at random for a poll,…

A: Given Suppose that 70% of all voters prefer Candidate A. If 7 people are chosen at random for a poll

Q: Of 120 students, 60 aré studying French, 50 are studying Spanish and 20 are studying French and…

A: Given that  Total students=T=120 French studying=F=60 Spanish studying=S=50 Both studying French and…

Q: Consider an insurer that offers 2 types of policy: home insurance and car insurance. 20% of all…

A: Probability of an event is the chances of occurrence of the event and its value lies between 0 and…

Q: Suppose that 40% of all adults regularly consume coffee, 50% regularly consume carbonated soda, and…

A: Introduction:  Probability of intersection of two events:  Probability of intersection of two events…

Q: A survey determines that six out of every ten Niceville residents shop at Walmart. In a group of 15…

A: p = 6/10 = 0.6 q= 1-p = 1-0.6 = 0.4 n =15 r ≥13

Q: Suppose that 30% of all voters prefer Candidate A. If 9 people are chosen at random for a poll,…

A: Given thatn=9p=0.30q=1-pq=1-0.30q=0.7

Q: According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15%…

A: Let the R.V X denotes the number of peanut M&M’s are orange and it follows the binomial…

Q: From a group of 100 male students in a small city college, 60 play basketball, 50 play volleyball…

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Q: Suppose that 40% of all voters prefer Candidate A. If 9 people are chosen at random for a poll,…

A: Solution: Let X be the number of people favor candidate A and n be the sample number of people. From…

Q: In a school sports club, 5 are basketball players, 4 are volleyball players, 2 are football players,…

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Q: Of 1000 shoppers entering the Shirt ‘n’ Shorts Booutique, 700 were interested in shirts and 600 were…

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Q: Of 1000 shoppers entering the Shirt ‘n’ Shorts Booutique, 700 were interested in shirts and 600 were…

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Q: Suppose a recent poll of American households about pet ownership found that for households with…

A: The probability that a household has a dog is 0.39. Hence, the probability that all three selected…

Q: A jury pool has 22 men and 18 women, from which 12 jurors will be selected. Assuming that each…

A: nr=n!r!(n-r)! ;  n!=1×2×3×....×nMeaning :- selecting 'r' items out of 'n' itemsP(all men ) =…

Q: In a certain school, 17% of the students are enrolled in a psychology course and 28% are enrolled…

A: Let define the events: A = students are enrolled in a psychology course B = Students are enrolled in…

Q: In a certain battery manufacturing plant, three factories, F1, F2, and F3, make 35%, 47%, and 18 %…

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Q: Suppose that 35% of all voters prefer Candidate A. If 7 people are chosen at random for a poll,…

A: Probability that voters prefer Candidate A = 35% = 0.35 Sample size, n = 7

Q: Suppose that in a barangay, three out of five are registered voters. If 10 people are selected at…

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Q: A poll is given, showing 80% are in favor of a new building project. If 8 people are chosen at…

A: Given that, A poll is given, showing 80% are in favor of a new building project. Sample size, n = 8

Q: survey of randomly selected 10000 college faculty members shows that 50% of the faculty own a car,…

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Q: Suppose that, on average, 4 persons in 1000 makes a numerical error in preparing his or her income…

A: Given: n = 10000 p = 41000 Formula Used: Poisson distribution:  If a random variable X follows…

Q: Assume for this problem that the company has 5 Hyundais and 7 Jeeps, and two cars are selected…

A: Given data are: Number of Hyundai cars = 5 Number of Jeeps = 7 Probability of both cars being…

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.