UCLA: You are in your dark room, and want to grab some pairs of socks. You remember you have n pairs lying in your dresser drawer, each pair having a unique color. But you forgot to organize them after doing your laundry. What's the least number of (individual) socks you should blindly grab before leaving the room so as to guarantee that you will end up with at least k matching pairs? n+K, 2n+k, 2k, 2n

Q: ossible Outcomes 3 Heads 2 Heads, 1 Tails 1 Heads, 2 Tails 3 Tails Totals Combinations HHH HHT, HTH,…

A:

Q: 5) Two standard 6-sided dice were rolled 23 times. What is the probability of getting a sum greater…

A: When  X~Bin(n,p) Then pmf will be  P(X=x)= nCxpx(1-p)n-x ; x=0,1,2,...,n

Q: Heart failure is due to either natural occurrences (85%) or outside factors (15%). Outside factors…

A: Introduction: Denote the random variable X as the number of heart failure patients who enter the…

Q: A candidate for the election made a speech in city A but not in B. A sample of 500 voters from city…

A: we will use difference of proportion test in the scenario. because there are two proportion off…

Q: B. A manufacturing company is analyzing its accident record. The accidents fall into two categories:…

A: Given information: Minor dealt with by first aider: Average cost k 50. Major hospital required:…

Q: A company owns 40 factories throughout the country. The number of serious injuries in a calendar…

A: Introduction: Denote X as the number of serious injuries in the next calendar year in a randomly…

Q: The speed of 12 drivers in a given road segment has been measured, obtaing the following values: 89…

A: Given: 89 82 95 102 84 80 86 79 96 81 98 86

Q: 3. A group of students went on a school excursion. 2 of the students are to be randomly selected…

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

Q: I have a bag containing 40 blue marbles and 60 red marbles. I choose 4 marbles (without replacement)…

A: This This question is belongs to hypergeometric distribution. Used formula Probability = Favorable…

Q: Computer keyboard failures are due to faulty electrical connects (6%) or mechanical defects (94%).…

A: we draw tree diagram

Q: Nancy is playing cards. What is probability of pulling a diamond or 4 of clubs?

A: nancy is playing cards. p(pulling diamond or 4 of clubs) = ? there are 13 cards of diamonds and 1…

Q: 9 Suppose a testing service is to administer a standardized test at a given location on a certain…

A:

Q: If A and B are independent, prove that B and the complement of A are independent.

A: Given,A and B are independent events , so P(A∩B)=P(A)×P(B) .

Q: The top-selling Red and Voss tire is rated 70000 miles, which means nothing. In fact, the distance…

A: Given Mean = 81000 Sd = 5000

Q: In a standard deck of cards, what is the probability of drawing a face card? (Express your answer as…

A: Given: n(total) = 52 n(face cards) = 12 n(drawn) = 1

Q: 17. How many anklets can be formed by stringing 10 beads of different colors all together?

A: There are total 10 beads.  n= 10 The clockwise and anticlockwise arrangements in an anklet are same.…

Q: The analysis of results from a leaf transmutation experiment (turning a leaf into a petal) is…

A:

Q: 1) Let X₁, X₂, X3... X, be a sequence of independent and identically distributed with the following…

A: Given pdf  f(X: θ)=(1+θ)x-θ-2 x>1

Q: Chapter 04, Advanced Exercises, Problem 151a box contains 7 red marbles and 7 green marbles. YORK…

A:

Q: flx) = kx² (1-x) {kx 04 x 41 Mervise ther If the) is a p.d.f, Fund k b) Find the mean, mediany mede.

A:

Q: Suppose that X₁, X₂, X3 X is a random sample of n from population X which has a chi- square…

A: Given that  X1,X2,.....,Xn is random sample of "n" from the population X  Xi follows Chi-square…

Q: The mean height of American men between 20 and 29 years old is 69 inches, and the standard deviation…

A: Given: Mean(μ)=69 inchesstandard deviation(σ)=3 inchesx =6 feet or more    =6×12    =72 inches or…

Q: Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on…

A: The random variable X represents the number of nonzero digits in a randomly selected 4-digit PIN…

Q: Use the 68-95-99.7 Rule to approximate the probability rather than using technology to find the…

A:

Q: A high school recorded the number of students in each grade participating in after-school…

A:

Q: Question 13 A single card is drawn from a deck. Find the probability of selecting a jack or a black…

A:

Q: In a given city it rains 25% of the days. A meteorologist has an 80% chance of getting his forecast…

A: Given Information: Probability that it rains in a given city is 0.25 Probability that a…

Q: Table 2. Predictions and results of tossing two coins 40 times. Possible Outcomes Combinations HH…

A: possible outcomes COMBINATION PROBABILITY(P) OBSERVED NUMBER 2H HH 3/10 12 1H,1T HT,TH 11/20 22…

Q: The analysis of results from a leaf transmutation experiment (turning a leaf into a petal) is…

A: Yes NO Total Yes 240 27 267 No 13 20 33 Total  253 47 300

Q: Plot the results of BOTH studies on ONE bar graph. What kind of graph Sould we use?

A: Graphs are used for various purpose. Each graph has a purpose and each graph used for particular…

Q: Imagine you are a genetic counselor and a married couple comes to you for help. Both Bob and Mary…

A: Giventhe probability that bob has Aa is =12 the probability that Mary has Aa is =23 For their child…

Q: The cumulative distribution function F(x) of a random variable X is given by 0, -8 <x<-1 0.2, 0.8,…

A:

Q: A coin is tossed 5 times. What is the probability that (a) at most 2 heads will occur? (b) at least…

A: Givena coin is tossed 5 times Total no.of possible outomes =25=32sample size(n)=32probability of…

Q: utocovariance r₁(h) and r2(h), respectively. That is Cov[Xt, Xt+h] = r₁(h), Cov[Yt, Yt+h] = r2(h)…

A:

Q: Calculate the probability that a randomly chosen policy holder from this  portfolio will make a…

A: Let us define some events A : a policy holder is from group A. B : a policy holder is from group B.…

Q: During one year, a particular mutual fund outperformed the S&P 500 index 41 out of 52 weeks. Find…

A: Given that: A particular mutual fund outperformed the S&amp;P 500 index 41 out of 52 weeks.

Q: Consider two securities, the first having μ1 = 1 and σ1 = 0.1, and the second having μ2 = 0.8 and σ2…

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

Q: Note: Please make sure to properly format your answers. All dollar figures in the answers need to…

A: 6. Mean water bill for the entire year: Mean=∑i=112xiNumber of months…

Q: Dependent and Independent Events Nicky has an unequally segmented spinner. The odds of it landing on…

A: Given that  P( red ) = 0.13 , P( blue ) = 0.20 , P( green ) = 0.08 P( orange ) = P( yellow) = x

Q: a town of 3,000 people, 600 are over 50 years of age and 400 are left-handed. It is also known that…

A:

Q: Suppose that the time until failure of a certain device has an exponential distribution. If the mean…

A: given data  mean time until failure of device  = μ = 25000 hours…

Q: 1. If X is a continuous RV having distribution function F(x) (i) Find the PDF f(x), (ii) Find P {X >…

A: Given Cdf  F(X)=1-e-2x if x≥0

Q: 3. Suppose that the number of insurance claims, N, filed in a year is Poisson distributed with E(N)…

A:

Q: Suppose that the number of drivers who travel between a particular origin and destination during a…

A: given data,poission distribution μ = 20 for poission distribution μ = λ = 20we have to find out the…

Q: Given P(A) = 0.36, P(B) = 0.40 and P(A B) = 0.17. Find P(AUB).

A:

Q: You’re a logistics engineer for a manufacturer of hard seltzer. You use three different shipping…

A: Here I have solved this que in my notebook and attached it's photograph. page:1

Q: Suppose that a sequence of mutually independent and identically distributed discrete random…

A: Given that

Q: Suppose that a sequence of mutually independent and identically distributed discrete random…

A:

Q: Suppose that the heights of adult men in the United States are normally distributed with a mean of…

A: Given data isMean(μ)=69.5 inchesstandard deviation(σ)=3.5 inches

Q: t an uncontrolled T- junction, it is seen that on an average, 2 vehicles turn to the right in each…

A: Given: Average number of vehicles in 120 seconds λ=2 Let X be the number of vehicles arriving in 120…

Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.