Ex 2/ Let X be exponential random variable with parameter A = 1:5. Find: 1- Find the probability distribution function 2- F[X] ? 3- E|X*) ? 4- Var(X)? 5- Find standard of deviation of X?

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

A: For the given data Find

Q: (a) There are 18 girls and 18 boys in a class. To find out their most favorite subjects in the…

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Q: Question 3: A game of zumpie consists of 3 teams; 2 teams lose and 1 team wins. Fifty-one teams…

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Q: You are trying to determine the effect of how long it takes for you to get a seat on the subway at…

A: Hyроthesis  testing  (аlsо  knоwn  аs  testing  fоr  stаtistiсаl  signifiсаnсe)  is  а  teсhnique…

Q: 1. Nexus Accounting Firm receives on average of 7 clients per day. What is the probability that the…

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Q: It refers to the amount. of disease already present in a population A. Proportion B. Prevalence C.…

A: Study of health and disease in a population is known as epidemiology. Prevalence is the epidemic…

Q: Which of the following stocks is riskier if you are considering investing in X or Y only? Stock…

A: Given Stock standard deviation coefficient of variation X 40% 2 Y 40% 4 We know that,…

Q: a. 0.5408 b. 0.4500 c. 0.0235 d. 0.0389

A: Given that  p=45%=0.45 , q=1-p=1-0.45=0.55 , n=450

Q: The scores of 800 students in a 100-item exam resemble a normal distribution with a mean of 78 and a…

A: Let X be the random variable from Normal distribution with mean (µ) = 78, standard deviation (σ) = 8…

Q: A sample of 52 obsorvation is drawn from a population with standard deviation 60. Find C so that the…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: If 3 different households of the 400 are to be chosen at random for a marketing survey, which of the…

A: Here Given  Household Income profile for 400 Households

Q: 4. The probability of winning a particular Lotto 6 / 49 is approximately 1 in 14 000 000. The…

A: As per Bartleby guideline expert have to answer first question only since I had done all for you.

Q: A dice has 6 sides numbered 1 to 6. What is the odds against rolling a 2 or a 4. 4:2 6:2 2:4 2:6

A: Odds ratio is the statistics that gives the strength of association between two variables.

Q: Verify that the total area under the density curve is indeed 1. 5 0.075x + 0.2 dx = 3 = 1.9375 - (b)…

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Q: Assignment After collecting considerable data, the engincers decided to model the variation in shaft…

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Q: A shop has 11 video games to choose from, and 4 of these contain extreme violence. A customer picks…

A: We have given that n = 3 Probability (p) = 4/11 = 0.36

Q: mpt in Progress The 2004 presidential election exit polls from the critical state of Ohio provided…

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Q: 1. A student found 8 Mathematics books in the library. The library rules permit him to check out…

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Q: 3. Let n = R 20 and = Borel set of A Does P given as: For each interval S(x; A) . = {d AIV 00

A: Consider, the Measurable space, V=Ω,F,P Ω=sample spaceF=σ-fileldP=probability space Properties of…

Q: Without looking at the bags, a young boy reaches into one of them and withdraws a U.S. coin.…

A: here define events  boy reached into Green bag  = G boy reached into blue  bag  = B U.S. coin = S…

Q: sulation sta 22. Refer to Exhibit 4. The expected value of x (expected mean) for the sample is a…

A: It is given that Population mean = 9 Population SD = 0.18 Sample size n = 121

Q: 16. How many 4 cards can be formed if 2 are spades and 2 are diamond? а. 16 b. 120 С. 2400 d. 6084

A: As per company guidelines I solved only 1st question thank you

Q: Scores is selected. What is the probability that the sample mean will be within +/-36 of the…

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Q: 3. A man aiming at a target receives 10 points if his shot is within 1 inch of the target, 5 points…

A: It is given that:-  f(x) =110  0<x<10.The probability mass function for the number of points…

Q: A pair of dice are tossed twice.  Find the probability that the first roll is a total of at least 7…

A: A pair of dice are tossed twice  Sample space = 36

Q: There are two players called 1 and 2. Player 1 can be of two types t E {0,1} with Pr (t=1) = n E…

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Q: Exhibit 4 A random sample of 121 bottles of cologne showed an average content of 9 ounces.…

A: Given that  Sample size n =121 Population mean μ =9 Population standard deviation =0.18 NOTE:-…

Q: 1. Compute for the experimental probability of having a 4 when rolling a die stu the following…

A: 1. Given formation: Result Frequency 1 19 2 22 3 19 4 21 5 19 6 20 Total 120…

Q: Let N be the set of all integers (x = r) and ( the class of all subsets of N.

A: Consider, the Measurable space,

Q: 2. A manager samples the receipts of every fifth person who goes through the line. Out of 50 people,…

A: Given that, No.of people had a mispriced items = 4 Total no.of peoples = 50 The probability that…

Q: 17.A bag contains 8 red, 6 blue and 4 green marbles. In how many ways can select 5 marbles, 3 red…

A: Given information: A bag contains 8 red, 6 blue and 4 green marbles.

Q: etth Fate for waters produced using two different etching methods For each method, the etch rate for…

A: Solution: We want to test the hypothesis  Ho:μ1=μ2           VS   Ha:μ1≠μ2

Q: 5. Researchers are concerned about the prevalence of tuberculosis in a developing country rising…

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Q: Solve for the missing probability by providing the complete solution Goals (X) Probability P(X) 0.18…

A: Solution-: We have given following table: Goals (X) Probability P(X) 0 0.18 1 0.34 2 0.35…

Q: What is the Reliability of the system below?

A: We know that the when the component is arranged in a series system then the resultant reliability is…

Q: 6R 4B 8R 2B No. I No. II You take an urn, draw one ball and find that it is red. What is the…

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Q: A planned community has 150 homes, each with an automatic garage door opener. The door opener has…

A: Given -           Total number of homes = 150            Door opener has 7 switches, which can be…

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

A: Total number of card in a ordinary deck = 52. Diamonds, hearts, clubs and spades. Among them…

Q: het are the variance and standard deviation of the sampling distribution of the sample mean if n =…

A: Given that  n=45 , s=13 Find variance and standard deviations of sampling distribution of sample…

Q: After a lot of hard work, a studio releases a new video game. The studio believes that the game will…

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Q: A neighborhood in Manila city has a vase inside their house, the probability that there is a vase…

A: given data A neighborhood in Manila city has a vase inside their house, the probability that there…

Q: You draw and keep a single bill from a hat that contains a $1,$10,$20, and $100 bill. What is the…

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Q: In a children's game, the die has two faces marked with 1, two faces marked with 2, and two faces…

A: Given:- the die has two faces marked with 1, two faces marked with 2. and two faces marked with 3.

Q: he annual premium for a ​$5,000 insurance policy against the theft of a painting is  ​$250. If the​…

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Q: Let Z be a standard normal random variable and calculate the following probabilities, drawing…

A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?…

Q: I have five 8-sided dice, with each side of a die numbered 1 through 8. I roll all five dice at…

A: Given that  8 faced die is rolling. Number of dies rolled (n) = 5   We know that  Probability =…

Q: What is the expected value of your bet

A: here given, you and a friend are playing cards and decide to make a bet. If you draw two clubs in…

Q: (a) Calculate the moment generating function for X. b) Use the moment generating function to…

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Q: Determine the mean or expec o each Random Variabte- 10 20 PC+) 50% 12% 38 %

A: From the given information, t 5 10 20 P(t) 50%=0.50 12%=0.12 38%=0.38

Q: 2. A magician plans to draw distinct cards From a regular de ck. a what is the probability (c) that…

A: FROM THE GIVEN INFORMATION WE KNOW THAT IN PACK OF CARDS TOTALLY CONTAINS 52 CARDS.OUT OF THOSE 13…