All A bowl contains 16 chips of which 6 are red, 7 are white and 3 are blue. If four chips are taken at random without replacement, find the probability that: ERSITY a. Each of four chips are red b. None of the four chips are red. There is at least one chip of each other

Q: From a lot of 35 fire bombs, 20 are selected at random and fired. If the lot contains 11 defective…

A: i) There are total 35 firebombs. Among them, 11 are defective firebombs. So (35-11)=24 are good…

Q: In a group of 25 boys, 20 play ice hockey and 17 play baseball. They all play at least one of the…

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

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Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: Answer : Canadians = 2  Japanese = 3 Italians = 5  Germans = 2 Total students = 2+3+5+2 = 12 Number…

Q: The American Automobile Association reports that of the fatal car and truck accidents 54% are caused…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

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: In a large city, 37% of all restaurants accept both master and visa credit cards, and 50% accept…

A: #  Let us assume,     M=Master credit card.     V=Visa credit card.     PM∩V=37%=0.37…

Q: Of the 132 bird species in the New Zealand bird population, 38 are extinct. Suppose you randomly…

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

A: Solution: Let A be the event that all customers have a home insurance policy. The probability of…

Q: In a group of 25 boys, 20 play basketball and 17 play baseball. They all play at least one of the…

A: Let, A=basketball B=baseball Given that: n(A)=20 n(B)=17 n(A or B)=25 So, n(A and B)=n(A)+n(B) - n(A…

Q: A single card is drawn from an ordinary deck of 52 cards. Find the probability P that the card is a…

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Q: At a men's clothing store, 12 men purchased blue golf sweaters, 8 purchased green sweaters, 4…

A: GivenNo.of men purchased blue golf sweaters = 12No.of men purchased green sweaters = 8No.of men…

Q: Of the physics graduates of a university, 25% received starting salaries of $30,000 or more. If 3 of…

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Q: 25% of all college students major in STEM (Science, Technology, Engineering, and Math). If 32…

A: Solution: c. Let X be the number of students major in STEM. From the given information, p=0.25 and…

Q: A chalk box contains 5 pink chalks and 4 white chalks. If three items are picked at random, assuming…

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Q: A softball pitcher has a 0.431 probability of throwing a strike for each pitch. If the softball…

A: Let the R.V X denotes the number of throws and it follows the binomial distribution with parameters…

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: One- fourth of the freshmen entering UC are out of CAR students. If the students are assigned at…

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

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Q: Of 100 students, 50 are taking Calculus, 43 are taking French, and 10 are taking both Calculus and…

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Q: At a college, 71% of courses have final exams and 45% of courses require research papers. Suppose…

A: Solution-: Given: P(Courses have final exam)=0.71 (or 71%) ,P(Course have research paper )=0.45 (Or…

Q: In a class of 40 students, 22 are women, 10 are earning an A, and 7 are women that are earning an A.…

A: Addition rule of probability: Addition rule of probability indicates the happening either of the…

Q: 90 students, including JB and Jane, are to be split into three classes of equal size, and this is to…

A: The number of student in the class is 90. Number of parts the class is divided is 3.

Q: B. 80% of people who have sports cars are men, if 10 sports car owners are randomly selected, find…

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Q: On a circuit board, there are 50 chips of which five are defective. If 15 chips ar selected at…

A: .Given data,Total number of chips n=50Defective chips           x=5p=xn=550=0.1If n=15P(X≤2)=?

Q: Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are…

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Q: 27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 40…

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Q: A technician is launching fireworks near the end of a show. Of the remaining twelve fireworks, five…

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Q: A spinner is split up into 4 colored areas of the same size: red, blue. green, and yellow. The…

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Q: A cooler contains 9 bottles of water: 3 sparkling and 6 regular. If two are drawn out at random what…

A: According to the provided data, the total number of water bottles in a cooler is 9 out of which 3…

Q: In a bag of 330 chocolate​ candies, 34 of them are brown. The candy company claims that ​13% of its…

A: GivenSample size(n)=330p=0.13x~Binomial(n=330,p=0.13)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,...,n

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

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Q: In a university, 30% of the students major in Business Management, 25% major in Mathematics, and 10%…

A: The likelihood occurrence of observation involve in the event is known as probability. Conditional…

Q: A woman has eight pair of gloves, each pair having a different color. If four gloves are randomly…

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Q: 10. Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are…

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Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: The following information has been provided: The probability of success is p=0.33. The total number…

Q: find the probability that only three have traveled to Italy.

A: Let p be the probability that a tourist have traveled to Italy. Given that p = 0.55 Let X denotes…

Q: In a group of 500 women, 120 have played golf at least once. Suppose one of these 500 women is…

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Q: A card is dealt from a deck of 52. Use probability rules to find that: A. Under a 4 B. Above a 9 C.…

A: In a deck of 52 cards, there are 4 suits, i.e  hearts, clubs, diamonds and spades and 13 cards for…

Q: A. If 6% of the population of grass in Kentucky is bluegrass, find the probability that in a sample…

A: A) Let X is the number of acres Kentucky bluegrass. So, P(X is true or success) =0.06 Sample size…

Q: An Elementary school club has 6 boys and 8 girls. If a committee of 5 officers is selected, find the…

A: Total number of committees possible=C145=2002 PExactly 3 girls=No of committees containg exactly 3…

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: Of 120 Pharmacy freshman, 65 are taking Math-150 and 47 taking Physics. 20 students of the freshman…

A: a) There are 120 Pharmacy freshman in which 65 are taking Math-150 and 47 taking Physics. And 20…

Q: 2. In a particular class, 78% of the students have a smartphone, 38% have a smartphone and a tablet,…

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Q: d. There were 27 tourists in the group and every tourist saw at least one of the three types of…

A: From part a, we have

Q: In a game of bridge, the 52 cards of a conventional pack are distributed at random between the four…

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Q: A ball is drawn at random from a box containing 10 red, 30 white, 20 blue, and 15 orange marbles.…

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

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Q: At a college, 68 % of courses have final exams and 43 % of courses require research papers. Suppose…

A: At a college, 68% of courses have final exams and 43% of courses require research papers. Suppose…