Let G be a simple graph with 15 vertices and 4 connected components. Prove that G has at least one component with at least 4 vertices. What is the largest number of vertices that a component of G have? Compute the maximum number of edges of G

Q: There are 17 students in the club. How many ways can a committee of at most 3 students be chosen?

A: If we have make committee of three students out of 17 students we obtain possible number of ways by ...

Q: This type of data collection is where responses are limited to the questions in the instrument. Choo...

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Q: 2. A young couple plans to have a family with four children. Assuming that the behavior of their fir...

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Q: n the US, the average one-way commuting time is 26.4 minutes. Is this different in Atlanta? One surv...

A: Comment: As per the our company giudelines we are supposed to answer only three subparts. Kindly rep...

Q: Let X be a random variable with the probability density function. f(x) : 20 for x = 1,2,3, 4, ..., 0...

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Q: Question 1 Tonight at 7pm a professional basketball game featuring the Golden State Warriors and the...

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Q: In a survey of 500 students in a university, 200 are enrolled in Psych 101, 180 are enrolled in Span...

A: Given that, In a survey of 500 students in a university, 200 are enrolled in Psych 101, 180 are enro...

Q: Determine whether each situation illustrates permutation or combination. 1. Choosing 5 questions to ...

A: Different possible arrangements of a set of objects is called permutation. The number of possible ar...

Q: A hockey goaltender has a save percentage of 0.920. This means that the probability of any single sh...

A: Let  X: No.of goal scored on goaltender in a game. p= Probability of any single shot taken on the go...

Q: .The following data represent the respective ages of 20 students pursuing graduate studies: 33     ...

A: Given data is: 33                    37                    25                    40                 ...

Q: Quartile- Find Me: Find the first quartile, second quartile and the third quartile, given the scores...

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only fi...

Q: 5. On January 2016, there were 500 males and 520 females in the age range between 25 and 30 living i...

A: Given that   There are 500 males and 520 females in the age range between 25 and 30 living in a smal...

Q: Mike and Kevin play football and each of them can score one goal with the probabilities of 0.9 and 0...

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Q: (c) What is the probability that the room is an ordinary-sized room, if this selected room has garde...

A: The probability of an event is the ratio of number of favourable outcomes of the event to the total ...

Q: Find the probability of drawing two Kings from a pack of cards in two successive draws, the card dra...

A: Solution is given:

Q: bemade white? At.colons orts leactv ance each code

A:   How many different 4-color code stripes can be made on a sports car if each code consists of the c...

Q: 6. Suppose 300 passengers are on board an aircraft. Each of the 300 passengers buys a duty-free item...

A: Given that, 300 passengers are on board an aircraft. Each of the 300 passengers buys a duty-free ite...

Q: 11. 1 2 3 4 5 P(x) 0.05 0.25 0.4 0.06

A: Note:Please repost remaining questions as I can author only 1 question as per my policyWe know that ...

Q: A piece of electronic equipment contains six computer chips, two of which are defective. Three compu...

A: Given that n =6 defective =2,good = 4 p(0) =? p(1) =?,p(2) =?

Q: Construct a curve then shade the region corresponding to the area. 1. P(Z > -1.53) 2. P(Z < 2.89) 3....

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Q: In this round, the probability that his winnings will be around 30,000 to 50,000 pesos is While the ...

A: In the first round, Shawn has to guess the item hidden in each of the 6 distinct bins. In every bin,...

Q: Given the Venn diagram, shade the corresponding regions.

A: Venn diagram are used to pictorial representation of different groups. It used for easy understand o...

Q: i researcher claims that AT LEAST 10% of all football helmets have manufacturing fla- that could pot...

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Q: A candy dish contains nine brown and four red M&Ms. A child selects four M&Ms without checking the c...

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Q: License tag consists of 3 letters followed by 4 digits. How many tags are possible if no letters can...

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Q: For example: (6, 2, 2, 2, 6, 1, 1, 3, 3, 3, 1, 3) has 7 runs: 2,2,2, 6, 1,1, 3,3, 3, 1 (Hint: a run ...

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Q: What’s the probability of getting a card with a heart suits?

A: It is known that Total cards in a deck = 52 Number of cards in a heart suit = 13

Q: A random variable Y have a distribution with parameter a > 0 and yo > 0 if its density function is g...

A: Solution

Q: Among the details made by the motor factory, 10% are defective. Find the mean and the standard devia...

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Q: In a survey of 500 students in a university, 200 are enrolled in Psych 101, 180 are enrolled in Span...

A:

Q: . QUESTION: Find the probability that none of the three bulbs in a set of traffic lights will have t...

A: Solution

Q: 6. The Chevalier Problem (At least one generalized): (a) First problem: Find the probability of roll...

A: Introduction: Denote X as the number of rolls resulting in a 6 when a standard six-sided die is roll...

Q: C. Shawn is targeting to win at least 100,000 pesos in the game. In the previous games, it was found...

A: Answer :-   Given that  Let the X be a the amount of money won by the contestants   X ~ N(μ , σ2 ) 1...

Q: Find the variance, mean, and standard deviation for n = 100 and p = 0.75 when the conditions for the...

A: We have given that  p = 0.75,     n = 100 The pmf of Binomial distribution is  P(X=x) = nCx*px(1-p)n...

Q: that the numbers on them make up a certain four-digit number. Find the likelihood that when installi...

A: Here use basic probability  Probability = #favourable outcome/#total outcomes  In the "secret" lock ...

Q: Two sets of candidates are competing for the positions on the Board of Directors of a company. The p...

A: Let A= first set will win the positionB=second set will the positionI=introducing a new productGiven...

Q: Problem 2: Strategic Defense There are N sites that need protection (number them 1 to N). Someone is...

A: Consider the N sites that need protection(number them 1 to N). The choice of qi shows the attacker's...

Q: Number 1, letters d,e, and f

A: Hypothesis are statement about the population. There are two types of hypothesis, they are null and ...

Q: 6. Cars pass through the automated car wash at the Shell on Carling Avenue at a rate of 6 cars per h...

A: Given that :-Cars pass through the automated car wash at the Shell on Carling Avenue at a rate of 6 ...

Q: A certain respiratory illness affects 0.1% of the population. An accurate test has been developed to...

A: Given P(Positive |no diseases)=0.04 P(diseases) =0.01 P(Negative | diseases)=0.03

Q: If you roll a fair die twice and observe the numbers that face up, then the probability that the pro...

A: The sample space is, S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)  (...

Q: 1 3 4 P (X = x) 7c 5c 40 3c 3/5 13/20 7/20 O 1/20 Given below is the probability distribution of X: ...

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Q: Suppose we want to choose 5 objects, without replacement, from 18 distinct objects. a) If the order...

A: Given,Total no.of distinct objects=18

Q: X 01 4- 0.10+o.23+0.24+0..388=0.95 Use the given the probability distribution to answer questions 13...

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Q: What is the probability that a particle will be in the dominant configuration? Total microstate is 5...

A: Given: x=13n=5005

Q: 7. to the left of z = 2.78 1. 5 8. at most z =-

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Q: A speaks the truth two out of three times and B four times out of 5 times. They agree in the asserti...

A: Solution is given:

Q: A student is to answer 10 out of 15 questions on a midterm test.         a. How many examination se...

A: Given that  A student is to answer 10 out of 15 questions on a midterm test. Total number of questio...

Q: Find the conditional PMF of Y , given X = x, for x 0, 1, ..., 20.

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Q: What is the probability of obtaining a head in the toss of an unbiased coin?

A: