Q) Fix integers r,n with 1 ≤ r ≤ n. Let A be any subset of [n] ≜ {1,2,...,n} of cardinality r, and let B be any random subset of [n] of cardinality r. Please answer the following question (a) Give the probability that A = B.

Q: Which scenario are more likely to draw a pair in a standard deck of cards without replacement?…

A: Given that  Total cards = 52 King cards = 4 Queen cards = 4 Ace cards = 4

Q: Do the data provide convincing evidence that the mean time to exhaustion for experienced triathletes…

A: For the given data Perform  Paired t test

Q: 3. Let M(t₁, t₂, t3, t4) be the joint moment generating function of (X₁, X2, X3, X 4). The moment…

A: Solution -Let M(t1,t2,t3,t4) be the joint moment generating function of (X1,X2,X3,X4). The moment…

Q: Find the probability of green occurring on two consecutive plays on a roulette wheel.

A: Given: Total number of squares = 38 Number of green squares = 2 Probability of each square = 138

Q: If I roll two fair six-sided dice, what is the probability that the sum is not 5?

A: It is given that two fair six-sided dice are rolled.

Q: Use the probability distribution for the random variable x to answer the question. 0 1 2 3 4 p(x)…

A:

Q: QUESTION 6 In the hypotheses H:л=0.40, Hл>0.40, at 5 % level of testing significance. if the sample…

A: GivenH0:π=0.40H0:π>0.40α=0.05sample proportion(p^)=0.45sample size(n)=49

Q: blem #7: Suppose that we have 9 coins such that if the ith coin is flipped, heads will appear with…

A: 9 coins = total Probability= favorable/total i=1,2,3,...9

Q: 5 -Let X be a random variable with probability density Function - f(x) = {¤ (1 − x³) 0 a) What is…

A: Disclaimer: " As per guideline we can solve only one problem. Please resubmit other question in…

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A: to win a payoff , pick first, second and third place winners in their proper orders. if ten horses…

Q: If there are 2 black socks and 10 white socks in a drawer, what is the probability that I pull out…

A: There are 2 black socks and 10 white socks.

Q: Suppose that a certain college class contains 45 students. Of these, 20 are freshmen, 29 are…

A:

Q: An electrical system cons connected as illustrated (probability the figure. of working) c

A: Given,   P(A works) = 0.9 P(B works ) =0.8 P(E works ) = 0.7 P(C works ) = 0.7 P(D works ) =…

Q: Sections Covered: Appendix C and sections 2.1-2.3 in the textbook. Problem #1: An urn contains balls…

A:

Q: Page 125, 2.4.12.* Cast a fair die and let X = 0 if 1, 2, or 3 spots appear, let X = 1 if 4 or 5…

A: From the Given information we can say that, P(X=0)=1/2 P(X=1)=1/3 P(X=2)=1/6 Now,  |X1-X2|=1So we…

Q: What would standard rounding practices tell you to do, when it comes to statistics?

A: Rounding rules in Statistics: The least significant digit stays the same if the first…

Q: need help in this question of Probability In a certain municipality, 70% of all residents are at…

A: Given that  n = 16 , p = 70% = 0.7

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A: Given: On average, there are two bicycle thefts every ten square miles during the course of a month.…

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A: Introduction: Denote X as the number of men that must be met with, in order to meet the first honest…

Q: What conclusion would be appropriate for an upper-tailed chi-squared test in each of the following…

A:

Q: Problem #2: 13 students from each of Engineering, Science, Humanities, and Social Science were…

A: Given Information: Number of students nominated from Engineering = 13 Number of students nominated…

Q: Problem 3. Let X and Y have the joint pdf f(x, y) = 3x, 0 < y < x < 1, zero elsewhere. Compute p.

A:

Q: 8. Suppose that colored balls are distributed in three indistinguishable boxes as follows: RED WHITE…

A: Given data is    BOX   1 2 3 RED 2 4 3 WHITE 3 1 4 BLUE 5 3 3

Q: diagnostic

A:

Q: at map 3.28. Prove or give a counterexample. If E₁ and E2 are independent, then they are…

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Q: Given that the cable company has decided to sell, what is the probability the influential director…

A: From given data we have : probability of influential director resigned) = 0.40 probability of…

Q: (a) a = 0.05, df = 4, x² = 13.75 O We would reject Ho- O We would fail to reject Ho (b) a = 0.01, df…

A: It is given that an upper-tailed Chi-Squared test. Here, need to find out the conclusion.     Note:…

Q: 11. Each front tire of a vehicle is supposed to be filled to a pressure of 26 psi. Suppose the…

A:

Q: 10. A network of switches a, b, c, and d is connected across the pow the sketch. Assume that the…

A: Considering the probability of fail = p Circuit Power lines A to B Switches  a, b, c, and d…

Q: Can I know the answer and the process

A:

Q: P: A square is a quadrilateral. Q: 51 is a prime number. R: The square of 4 is 2. Find the truth…

A: Using given information P : A square is a quadrilateral Q : 51 is prime number R : The sqaure of 4…

Q: Gregory decides to go to this well-known transpo hub on his way home from work so that he can take a…

A: Given information: A taxi comes every eight minutes, while a bus comes every ten. While a taxi can…

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A: Let x denotes the citizens suffer from sleep disorders and y denotes the citizens suffer from…

Q: A magazine subscription service is having a contest in which the prize is 180000. If the company…

A: The magazine subscription service is having a contest in which the prize worth 180000.

Q: There are 8 runners. In how many ways can it be finished if Mark finished before Claire

A: A permutation is an arrangement of objects or things. For example, let us assume there are three…

Q: 10. A network of switches a, b, c, and d is connected across the power lines A and B the sketch.…

A: Given that A and B are 2 power lines circuits Switches are: a b c d Additional line and…

Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a diamond or…

A: From the provided information, Total cards in deck = 52 There are 4 suits (diamond, club, spade,…

Q: in the first column are 0, .01, .02, .03, …, .99, 1.00. In the second column in Excel, use Bayes…

A: S No Pr(B) 1 0 2 0.01 3 0.02 4 0.03 5 0.04 6 0.05 7 0.06 8 0.07 9 0.08 10 0.09…

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A: Introduction: Denote X as the price of a randomly selected sofa. It is given that X has an…

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A:

Q: For each of the following assertions, state whether it is a legitimate statistical hypothesis and…

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

Q: 3. State or specify the null and alternative hypotheses in the following (use complete statements,…

A: Null Hypothesis (H0): The mean age of professors in UPang is not more than 30 years old. Alternative…

Q: Consider tossing four, eight-sided (numbered 1 through 8) dice, Assume the dice are fair. Note that…

A: Given information: Four, eight sided(numbered 1 through 8) dice.

Q: find the probability distribution for the number of phones with technical issues.

A: Here given , I am an iphone supplier here in the Philippines. I am able to ship 20 iphones to  small…

Q: If the probability distribution for a discrete random variable X is given by the following piecewise…

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Q: Answer quickly please A random variable (A) has a mean 55 and a standard deviation of 5. A random…

A: given datavariable A : mean(μA)=55                    S.D.  (σA)=5variable B : mean (μB)=75…

Q: what’s the percent of the students who do not have blue eyes are females ? what’s the conditional…

A: HERE, use given table and basic probability rule.  Probability = (no of Favorable outcomes)/ Total…

Q: The cumulative percent frequency for the class of 16 - 20, The cumulative frequency for the class of…

A: Given data of the number of sick days taken by 200 factory workers: Number of days  Frequency…

Q: (c) H:s ≤ 0.30 (d) H: Yes, this statement is an assertion about the value of a parameter. Yes, this…

A: Note : Parameters are population characteristics while statistic is sample characteristic.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 7. The nutritional…

A: n=10 ∴ df = n-1 = 9x¯ = 358s = 54claim : μ&gt;280α=0.01