An Olympic final consists of two runners from each of four different countries. An ordered selection of three of the eight runners win the medals (gold, silver, and bronze). How many different possibilities are there if the medal winners are all from different countries?

Q: Q5. (b) Construct the frequency histogram, frequency Polygon, and Pie graph from the following data…

A: There is 20 students grades : A, C, B, D, A, C, D, B, C, C C, B, B, F, D, C, B, C, F, A

Q: raise examination a student (a) 12 or more out of 20 questions and (b) 24 or more out of 40…

A: Given::- Ten percent of the bolts that a machine produces are defective. the probability that in a…

Q: A quiz has 5 multiple-choice questions. Each question has 4 answer choices, of which 1 is correct…

A: Let p=probability of getting a correct answerp=14     (out of 4 only 1 correct answer)q=1-14=34A…

Q: The probability density curve f(x) for a continuous random variable X does NOT have which of the…

A: The fx for random variable X which is continuous is given as, Pa<X<b=∫abfx dx Properties of fx…

Q: Let X have the standard normal pdf, jx(x) (1/√2π) e (a) Find EX² directly, and then by using the pdf…

A:

Q: A single, fair 6-sided die is tossed. Find the odds in favor of rolling a 5. What are the odds in…

A: roll a 6 sided die possible outcome : {1,2,3,4,5,6} odds in favor of rolling a 5 = ?

Q: From a boxplot, one can determine: a. The mean b. The median c. The interquartile ranged. d. All…

A: i have give example of boxplot :

Q: A construction company has been hired to build a custom home. The builder estimates the…

A: Profit/Loss Probability $100,000 0.10  $60,000 0.45  $30,000 0.25           0 0.10…

Q: The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at…

A: The probability of an event is the ratio of the number of cases favorable to that event to the total…

Q: In the Introduction to Impossibility module, 4/5 of students pass the exam. Of those who pass the…

A: Introduction: Denote A as the event that a student passes, so that Aꞌ is the event that the student…

Q: 3.    A study found that there was a 48% chance that a driver fails a breathalyser test when it is…

A:

Q: The best experimental design manipulates only one variable, the [Select] variable, such as cookies…

A: In the experiment, the variable which influences only one variable is considered an independent…

Q: et X be a continuous random variable with par j{î) and cat To, define the function f(x)/[1 − F(ro)]…

A:

Q: A survey asking mobile phone users how long they would wait for a page to load found the following…

A: time(seconds) percentage <1 2% 1-5 18% 6-10 25% 11-15 18% 16-20 12% >20 25%

Q: 7. A book that regularly sells for $18.60 is marked for sale at 30% off. With 6% tax, find the total…

A: q-7)Book regular price = $ 18.60sale at 30% off with 6%taxtotal cost of book = ?q-8)lrt certain…

Q: Let (Xn)neN and (Yn)neN be two sequences of random variables and X and Y some random variables.…

A: Given that Xnn∈N and Ynn∈N be two sequences of random variables and X and Y some random variables.

Q: Question What is the probability of rolling 2 standard dice which sum to 5? Note: enter your answer…

A: GivenA 2 standard dice are rolled

Q: A machine producing components with a 10% defective rate. Determine in a sample of 6 components…

A: It is given that n = 6 and p = 0.10.

Q: (b) that each side turns up only once. 74 A box contains a very large number of red, white, blue,…

A: Given::- A box contains a very large number of red, white, blue, and yellow marbles in the ratio…

Q: Q2) The jpdf of X and Y is fxy defined as: Z = X +Y. Find the pdf fz(z). (x,y)==-[u(y)-u(y-2)]…

A:

Q: fx1,x₂(x1, x₂) = 0, otherwise. What is the joint probability density function fy₁,Y₂ of Y₁ = X₁/X2…

A:

Q: A tile is selected from seven tiles, each labeled with a different letter from the first seven…

A: select letters from first 7 letters of alphabetssample space : {A,B,C,D,E,F,G}event X : letter is…

Q: 28. Show {Xn, n ≥ 1} are independent if o(X₁,..., Xn-1) || σ(Xn) are independent for each n ≥ 2.

A: Given::- Show (Xn, n ≥ 1} are independent if o (X1,..., Xn-1) || σ (Xn) are independent for each n ≥…

Q: (c) greater than X - 1.5s? 7.68 In Problem 7.67, find the constant a such that the percentage of the…

A: Given::- the constant a such that the percentage of the cases (a) within the range is 75% and (b)…

Q: You generate three random numbers from (0, 1). Let X be the smallest of these three numbers and Y…

A: Three random numbers are drawn from a distribution with parameters (0,1). As each value has equal…

Q: Let Y₁-X₁+X2 and Y2 X1-X2. Please derive the pdf of Y₁. (Hint: The joint support of Y₁ and Y2 would…

A:

Q: Q3: 3 points were randomly selected an a radius r. A with Corners at these Circle with points is…

A: Consider a circle. This circle has a diameter PQ.  Let us consider A and B are 2 random points…

Q: 11) According to a recent report, 68.3% of men and 64.1% of women in the US are overweight. Given…

A: Given: 68.3% of men are overweight. 64.1% of women are overweight. 49.3% of Americans are men 50.7%…

Q: he probability that an 80-year-old male in the U.S. will die within one year is approximately…

A: given data, probability that an 80- year old male die  in the U.S. within one year is approximetly…

Q: A machine generates rectangular tiles with randomly varying length (L) and width (W). Let the length…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A box has 8 blue and 6 green jelly beans. A bag has 3 blue and 5 green jelly beans. A jelly bean is…

A: Suppose a box has 8 blue and 6 green jelly beans. A bag has 3 blue and 5 green jelly beans. A jelly…

Q: The National Highway Traffic Safety Administration (NHTSA) provides ratings on all tire lines…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: A business magazine article claims that a majority of women age 22 to 35 who work full time would be…

A: given data claim : p >0.5n = 1000x = 540p value = ?

Q: A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning…

A: Given 8 outcomes isOEE,EEO,OOE,OEO,EOO,OOO,EOE,EEETotal no.of outcomes=8Where,'O'=odd number'E'=Even…

Q: In a condominium, the probability that a person owns a car is 0.4. If 19 tenants were interviewed…

A: given data  P(own car) = p = 0.4 sample size (n) = 19 x = no. of tenants own car P(X=x) =…

Q: 5. Suppose X is a random variable. (a) X is independent of itself if and only if there is some…

A: From given  X is independent of it self .

Q: A boy has 3 pieces of candy and is supposed to share some with his friend and/or his brother. How…

A: We can make combinations using the above information. There are 3 candies and he can’t keel 3 for…

Q: 11. One box contains 3 red balls and 5 white balls, and a second box contains 2 red balls and 3…

A: Givenfirst box containsNo.of red balls = 3No.of white balls =5Total no.of balls = 8second box…

Q: Heather won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The…

A: From the given information we have Total number of prizes = 9 Number of rings = 4 Number of camera =…

Q: Let X and Y be two independent random variables satisfying first success d bution FS(p). (a) (b)…

A: From the given information, X and Y are two independent random variables satisfying first success…

Q: Let X = (X₁, X2, X3, X₁)' have probability distribution function 20! f(11, 12, 13, 14) = #₁!₂!3!₁!…

A:

Q: Q5 If P.d∙f of x is given by e/5x f(x)= } e 01) re loce

A: Note: According to Bartleby guidelines expert solve only one question and maximum three subpart of…

Q: Ben flips an unbiased coin three times. He states that he is more likely to get heads, tails, heads;…

A: Given that Ben flips an unbiased coin three times. He states that he is more likely to get heads,…

Q: Find the range, the standard deviation, and the variance for the given sample. Round non-integer…

A: Given: Sample data: 13, 16, 17, 18, 18, 44 Required: To find the range, the standard deviation, and…

Q: Array intends to allocate her savings into various types of financial investments. She has $148,200…

A: Given data :  Total  investment  = 148,200 Take LCM for unequal ration = 10 x 11 x 13        = 1430…

Q: In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups.…

A: The treatment group size is 201,229 and placebo group size is 200,745. In treatment group 33…

Q: 6. In a college, 400 students are graduating this semester. According to the school policy, each…

A: 6) Let X denotes the number of people a student will bring to the graduation ceremony.  Based on the…

Q: Discrete Mathematics (Counting theory)  We want to spread a face-to-face exam among 24 students…

A: Given::- Discrete Mathematics (Counting theory)  We want to spread a face-to-face exam among 24…

Q: Express the following length of time (t) in the simple interest formula. a) 18 months b) 14 weeks c)…

A: The simple interest formula is : SI=p×i×tWherep is the principal amount  i  is the annual interest…

Q: Name: Part C 1. According to Pew Research Center survey conducted in the spring of 2022, the…

A: Given data  Event Y : use Youtube Event T : use TikTok P(T) = 0.95 P(Y) = 0.67 P(T∩Y) = 0.64