EX#3: A lot contains 7 components; 4 good components and 3 defective components. A sample of 3 is taken. Find the expected value of the number of good components in this sample.

Q: Consider the following table:   Value of X Probability 0 1/16 1 1/4 2 e 3 1/4 4 1/16…

A: According to the given information, for part (1) it is required to calculate the value of e. Since,…

Q: 1. A Booster club sells $6 tickets for chance to win a $300 TV, a $75 cell phone, or eight $25 cash…

A: 1. It is given that club sells $6  tickets for chance to win a $300 TV, a $75 cell phone, or eight…

Q: A random variable X could have an expected value of -1. 1) True 2) False

A: Given data A random variable X could have an expected value of -1

Q: 4) The prizes that can be won in a sweepstakes are listed below together with the chances of winning…

A: To find: Find the expected value of the amount won for one entry if the cost of entering is 71…

Q: otherwise If the expected value of the random variable X is 1/3. Find the values A and B.

A: Here use property of probability distribution function

Q: If the random variable X denotes the real valued outcomes given in the following table with the…

A: Solution: Let X be the outcome. Then, the probability can be calculated by using the following…

Q: You flip an unfair coin with Pr[H]= 0.4 three times. Find the expected number of heads flipped.

A: Given that flipping an unfair coin 3 times with PrH=0.4.

Q: If the random variable X denotes the real valued outcomes given in the following table with the…

A: Total frequency is: (28+22+16+29+16)=111 so to find the probabilities we will divide the frequencies…

Q: Consider the following table: Value of X Probability -4 0.15 -2 d 1 0.3 2 0.3 1. What is the value…

A:

Q: Consider the following table: X Pr Product 0.2 2 а 0.4 4 0.3 1.2 5 1. What are the values of a, b,…

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Q: Determine whether the following statement is true or false, and explain why. The expected value of a…

A:

Q: The covariance of two random variables is always a number between -1 and 1 True False

A: In this case, we need to find the correct option.

Q: |If the expected value of the random variable X is 1/3. Find the values A and B.

A:

Q: Derive the expected value of Y? 0,

A: Given:  Distribution function of lifespan of bulb  f(x)=(y*e^-y/10)/100    : y>0  Then to find…

Q: Robert bought a $5 lottery ticket such that 1 in 100 would win $10, 1 in 1000 would win $100, and 1…

A: Given that, Robert bought a $5 lottery ticket such that 1 in 100 would win $10, 1 in 1000 would win…

Q: Sb sa Mx e -e (5) 516-a) X~U(a,b) , Calculate the expected value of the random variable X.

A: Given,X~U(a,b)f(x)=1b-a ; a≤x≤b

Q: Suppose that a far coin is tossed six times. The number of tails which can occur wit their…

A: The given table is, xi 0 1 2 3 4 5 6 pi 164 664 1564 2064 1564 664 164 The aim is to find…

Q: 1. Suppose you roll a die with probability of 1 being 2/13, 2 being 1/13, 3 being 3/13, 4 being…

A: The expected value of the up-face of the die is obtained below: The probability model will be is,…

Q: You flip an unfair coin with Pr[H] = 0.3 three times. Find the expected number of heads flipped.

A: Let X= number of head  n=total number of observation = 3 p = probability of getting a head= 0.3 So,…

Q: A High School is organizing a raffle. The main prize is a $2000 laptop. Other prizes are 2 tablets…

A: Total tickets = 2000   Probability of winning 1 laptop, P(L) = 1/2000 = 0.0005 Probability of…

Q: If the expected value of X is u = 1.25. 1. Calculate the value of a & b. 2. What is Var (X)? Sd (X)?

A:

Q: Answer the Following Question Bella wants to try a dice game with a $1 entry fee. She rolls one…

A:

Q: ①3) 3 1501000 What is the expected value of Y if the distribution of Y is given as: 20 1)-5 ① 21 0…

A: Y p ( Y) -5 0.4 0 0.3 10 0.1 20 0.2

Q: You flip an unfair coin with Pr[H] = 0.3 three times. Find the expected number of heads flipped. 田

A: Expectation =Mean value  Since the coin is tossed three times head can come at 0 time ,1 time ,2time…

Q: You flip an unfair coin with Pr[H] =.2 three times. Find the expected number of heads flipped.

A: Probability of head appear is 0.2.

Q: Consider the following table: Value of X Probability -5 0.05 -3 d 0.3 1 0.3 1. What is the value of…

A:

Q: Question 2 A player tosses three fair coins. He wins P80 if 3 heads occur, P40 if 2 heads occur,and…

A:

Q: A. Suppose you roll a die with probability of 1 being 1/15, 2 being 2/15, 3 being 4/15, 4 being…

A: A. It is given that, a die is rolled with probability of 1 being 1/15, 2 being 2/15, 3 being 4/15, 4…

Q: A hospital researcher is interested in the number of times the average post-op patient will ring the…

A: Given Information:

Q: Consider a set of 20 independent and identically distributed uniform random variables in the…

A:

Q: 3. A conditional probability P(B|A) is equal to its marginal probability P(B) if

A: If A and B are two events defined on sample space, then conditional probability of B given A is…

Q: high

A:

Q: The random variable X is described by the following probabilities. i 1 4 P(X = i) = Pi 0.5 0.4 0.05…

A: The Expected Value is given as: Expected Value = ∑Xpi=0×0.5+1×0.4+3×0.05+4×0.05=0.75

Q: An investor is considering a $15,000 investment in a start-up company. She estimates that she has…

A: Given that  An investor considering a $15,000 investment in a start up company. She estimates that…

Q: In the game of roulette, a player can place a $6 bet on the number 17 and have a probability of…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: Assume that you have a random variable X which is binomially distributed, and someone told you that…

A: Assume that you have a random variable X which is binomially distributed, andsomeone told you that…

Q: The Trendy Taco restaurant has an established (known) approval percentage of 90%. Suppose a random…

A: Given : p₀ = 0.9 , n= 100

Q: Answer the Following Question Eva flips a coin. If she gets heads, she wins $4. if she gets tails,…

A:

Q: x 1 2 4 6 p(x) 0.3 0.3 0.5 0.1 What is the probability P(X>2)? What is the expected value?

A: x 1 2 4 6 p(x) 0.3 0.3 0.5 0.1 What is the probability P (X>2)?

Q: The table above shows the number of cell phones per household in a small town. Find the expected…

A: From the provided information, Cell phones (x) 0 1 2 3 4 5 6 Probability P(x)…

Q: 3. An insurance policy sells for $720. Based on past data, an average of 1 in 70 policyholders will…

A: Expected value is used to measure the average of the probability distribution. It is calculated by…

Q: If 'X' is a continuous random variable, then the expected value is given by

A: here use property of Continuous Random variable

Q: An insurance policy sells for $720. Based on past data, an average of 1 in 70 policyholders will…

A: an average of 1 in 70 policyholders will file a $10,000 claim, an average of 1 in 100 policyholders…

Q: If Xis a random variable having a binomial distributionwith n = 20 and p = 0.4, and Y is a…

A: The random variable X has a binomial distribution with n=20 and p=0.4. Here Y=2X+3.

Q: Suppose that x and y are unknowns with ?(?)=E(X)= 11, var(?)=Var(X)=4,  ?(?)=E(Y)= 7 and…

A:

Q: 3.3.4 You roll a pair of fair dice until you roll "doubles" (i.e., both dice are the same). What is…

A: Solution :  When two fair dice are rolled , sample space consists of 36 outcomes. Let A : double…

Q: the random variable X denotes the real valued outcomes given in the following table with the given…

A: Given that : Outcome -2 -1 0 1 2  Frequency 22 29 18 12 20  P(X)           the random variable X…

Q: For a particular population, a sample of n = 4 scores has an expected value of 10. For the same…

A:

Q: For #s 7- 8, refer to the problem below: A hospital researcher is interested in the number of times…

A: Let X be the random variable having probability mass function is,  X 0 1 2 3 4 5 P(x)  0.08…

Q: X 2 3 45 P(x) 0.2 0.4 0.2 0.2 What is the expected value?

A: Given  X = 2,3,4,5 P(x) = 0.2,0.4,0.2,0.2