A Toyota Fortuner that has been filled with gasoline has a 0.25 chance of needing an oil change; a 0.40 chance of needing a new oil filter; and a 0.14 chance of needing both the oil and the filter. If a new oil filter is needed, what is the probability that the oil has to be changed? A.0.14 B.0.35 C.0.56 D.O 0.77

Q: COMBINATION 1. How many ways committees of four members can be formed from 10 architects?

A: We have given that,  1. How many ways committees of four members can be formed from 10 architects?  ...

Q: 4 6 7 8. 10 An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and ...

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Q: 11-15 1- 2 3 4 P(x) 0.11 0.21 0.22 0.39 0.07 16-20. 2 P'(x) 0. 12 0.42 0.36 0.09

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Q: During a power blackout, 100 persons were arrested on suspicion of looting. Each person is made to t...

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Q: For items 11 - 15, consider the following: The mayor of a certain town, with four national high scho...

A: The Hamilton's method of apportionment is described below. Calculate the standard divisor by dividi...

Q: The table below shows the number of survey subjects who have received and not received a speeding ti...

A: General formula of probability ,   Probability = Number of favorable outcomes Total outcomes     

Q: The probability that a contractor will get a plumbing contract, is 2/3 and the probability that he w...

A: It is given that P(plumbing) = 2/3, P(electric) = 1 - (5/9) = 4/9 P(plumbing Or electric) = 4/5

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

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Q: Consider the following payoff matrix: State of Nature Decision 1 2 3 A 50 75 35 В 40 50 60 40 35 30 ...

A: Given Information: Consider the payoff table where the table represents profits.

Q: State if each scenario involves a permutation or a combination. Then find the number of possibilitie...

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Q: Exercise 3: Let (Yn)neN be a sequence of random variables with the property -a < Y, < 0 for a consta...

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Q: How many different 4 card hands can be dealt from a deck of 52 cards? The order of the cards does no...

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Q: A game that draws 5 digits from 1-49 from the same machine. In other words, numbers are drawn and no...

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Q: Which brand should the store eliminate? A. Brand D B. Brand A C. Brand B D. Brand C

A: Given the table shows the number of items of each brand that were returned  over the past year and t...

Q: Deandre won a charity raffle. His prize will be randomly selected from the 9 prizes shown below. The...

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Q: a. Create a probability model for the random variable X = cost of claims. b. What is the long-term a...

A: Note: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  An electronics retailer is developin...

Q: find the proportion that likes pizza.

A: Given : Question number of people who say yes Do you like Burgers ? 44 Do you like pizza ? 39...

Q: Suppose that 56 % of students play football, 53 % of students play cricket, and 12 % of students pla...

A: Let F=students play footballC=students play cricketGiven,P(F)=0.56P(C)=0.53P(F¯∩C¯)=0.12

Q: In a certain city, 40% of the people have blonde hair, 25% have blue eyes, and 15% have both blonde ...

A: Let B=be the event that the people have blonde hairE= be the event that  the people have blue eyes.P...

Q: 4. Suppose we make a slight change to Borel's poker model so that X and Y (the "cards" for players I...

A: Given To make a change to Borel's poker model so that X and Y are exponentially distributed, instead...

Q: two dice are rolled. Find the probability of getting the following results. p(sum) 10,9 or 4

A: When we rolled two dice. So total no. of possible outcomes will be 6^2=36. These are [ (1,1),(1,2),(...

Q: How many codes are possible if repeats are not allowed and the second letter must be 'P' and the sec...

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Q: How many different license plates can be generated if the configuration of the first 4 characters ar...

A: Given Information: A license plate should start with 4 capital letters followed by 3 numbers.  None ...

Q: Question: How many different groups of seven balls can be drawn from a barrel containing balls numbe...

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Q: One card is drawn of random from a pack of 52 cards. What is the probability that the card drawn is ...

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Q: A researcher wants to determine if there exists a linear correlation between the length in inches of...

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted.... Gi...

Q: A package contains 100 LED light bulbs, of which 10 are defective. A sample of 5 bulbs is selected a...

A: Given,no.of defective bulbs=10no.of good bulbs=90Total no.of bulbs=100

Q: Threw fair coins are tossed. Find the probability that they are all heads if the first coin is heads...

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Q: Nine hundred and thirty-two businessmen accepted the Mayaman Challenge of one of the Philanthropic F...

A: GivenMean(μ)=135standard deviation(σ)=15No.of businessmen accepted challenge = 932

Q: A box of 100 gaskets contains 10 gaskets with Type A defects, 5 gaskets with Type B defects and 2 ga...

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Q: Do the following. Find the mean of the probability distribution of the which can take only the value...

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Q: How many different license plates can be generated

A: Here total capital letters are 26 And total available number 0,1,....9 that is total 10 Here use com...

Q: Q5. Boiling point measurements for a liquid under fluctuating pressure conditions is normally distri...

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Q: How many different routes can a saleswoman have if she must visit eight different companies in a day...

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Q: Use the probability distribution listed in the given table. Compute P(X s-1 or X = 2). -2 -1 1 2 fx)...

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Q: 2. In a class of 29 students, 15 like Social Studies and 21 like Math. If 14 of them like both Socia...

A: As per our guidelines we are suppose to answer only one question 2)GivenTotal no.of students = 29No....

Q: -What is the expected gain from this game?

A: here total 52 cards in deck total face cards = 12( J,Q,K of each suit) total ace = 4   probability =...

Q: A magician would like to perform a magic trick using 30 distinct cards, each labelled with a number ...

A: Hiii

Q: Stress at work: In a poll about work, 73% of respondents sald that their jobs were sometimes or alwa...

A: Let X be the person stressful job from binomial distribution with probability (p)= 73% = 0.73 and nu...

Q: If you roll a fair 7-sided die 6 times, what is the probability hat a 6 is rolled at least twice?

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Q: Let X represent the full length of a certain species of newt. Assume that X has a normal probability...

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Q: 1. Suppose three cards are selected from a standard deck of 52 cards and laid out in a row on a tabl...

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Q: 36) What is the probability of a dart landing in the shaded region? (Assume that the x's represent e...

A: Given the, square with some shaded region , we need to find the probability  of a dart landing in th...

Q: A researcher is interested in how frequently Starbucks coffee shops locate close to other coffee sho...

A: Given: n =  48.0x = 12.0 one third of Starbucks outlets are located in close proximity to another co...

Q: Question 4. A AC 0.24 0.32 BC 0.25 0.19 Find the following probabilities: а.Р (А) Solve d,e,f b. P (...

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Q: What are the zeros of the functio f(x) = x² + 2x – 24 ? %3D A. -8 and 3 B. -6 and 4 C. . 4 and 6 D. ...

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Q: A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head ...

A: consider that the coin is tossed three times The outcomes are, Let A denote the event that exactly ...

Q: You are dealt one card from a 52-card deck. Find the probability that you are dealt a two or a red c...

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Q: (a) What is the probability that the psychic will get exactly two out of three tests right, if he is...

A: Here use binomial distribution because 

Q: What is the expected number of times the outcome is greater than 1 and smaller than 6

A: Here fair die is rolled 16 time  Each trial independent  Finite number of trial  Two outcomes succe...