One of two identical-looking coins is picked from a hat randomly, where one coin has probability p1 of Heads and the other has probability p2 of Heads. Let X be the number of Heads after flipping the chosen coin n times. Find the expectation and variance of X.

Q: In a particular road intersection, it has been observed that (2/3) of vehicles turn to the right…

A: Given problem Given that   In a particular road intersection, it has been observed that (2/3) of…

Q: Find the expectation of a discrete Random variable whose probability function is fx (x) = for x = 1,…

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Q: The probability that an item made by a certain company will bedefectiveis 0.1. Compute the…

A: Given : probability of success = p = 0.1 probability of failure = q = 1 - p…

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8…

A: b) He can choose any 6 capacitors from 15 capacitors  in 15C6=5005 ways   He can choose 4 defective…

Q: An employee is selected from a staff of 10 to supervise a certain project by selecting a tag at…

A: Given- An employee is selected from a staff of 10 to supervise a certain project by selecting a tag…

Q: Let X be a Poisson random variable with mean 2. If P[X = 1|X <1] = 0.8, what is the value of 2?

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Q: An urn contains 10 balls, of which u are black and 10 – u are white. Balls are drawn at random, one…

A: The urn contains u black and 10-u white balls, total 10 balls. N balls are drawn from the urn and…

Q: In the game of​ roulette, a player can place a $6 bet on the number 24 and have a 1/38 probability…

A: The probability that balls lands on number 34 in game of roulette is 138. Then the probability of…

Q: Find the total probability of the event A if X is a normally distributed random variable with…

A:

Q: A machine that manufactures automobile parts produces defective parts 15% of the time. If 8 parts…

A:

Q: A deck of cards contains 30 face cards and 20 numbered cards. Suppose that 16 cards are selected at…

A: There are total (30+20)= 50 cards  Among the 50 cards, 30 are face cards.  So the probability of…

Q: walks to the top of a hill and then walks down again. The time he takes to walk up the hill is…

A:

Q: In a particular region, for families with a combined income of $75,000 or more, 15% of these…

A:

Q: A factory received a shipment of 15 sprockets, and the vendor who sold the items knows there are 7…

A: Let X= number of defective items.    a) We have to find P(X=6) If 6 items are defective then we can…

Q: A coin is tossed tl probability of get

A: Given A coin is tossed three times, Hence the sample space (s)  = ( HHH,HHT,HTH,THH,TTH,THT,HTT,TTT…

Q: A telephone exchange receives, on average, 5 calls per minute. Find the probability (i) that in a…

A: Given: On average 5 calls per minute, X ~ Poisson(λ = 5) Using Poisson distribution: P(X=x)=e-λ×λxx!

Q: Show that if a random variable has a uniform den-sity with the parameters α and β, the probability…

A:

Q: Assume that 12 jurors are randomly selected from a population in which 82% of the people are…

A: Given, that 12 jurors are randomly selected from a population in which 82% of the people are…

Q: Suppose X is binomial. If p = .9, how big does n have to be in order to use the normal approximation…

A: Question :  Suppose X is binomial. If p = 9, how big does n have to be in order to use the normal…

Q: The departure time, in hours, of a bus upon arrival at a terminal has a U(0,1) distribution. What is…

A: Solution

Q: According to a survey, 31% of employees working at a very large company are happy with their jobs.…

A: 31% working employees of a large company are happy with their jobs. So, probability that an employee…

Q: A factory received a shipment of 11 capacitors, and the vendor who sold the items knows there are 3…

A: Let the R.V X denotes the number of defective capacitors in the shipment and it follows the binomial…

Q: In a 300-person focus group, 60% of participants like durian. It turns out that people who like…

A: Given information: n = 300 Number of people who like durian=0.60*300=180Number of people who do not…

Q: The manager of a local soft drink company believes that when a new beverage dispensing machine is…

A:

Q: Joe plays Blackjack at a casino table, and wins each game with probability p, independent of…

A: We know: W: number of wins W~Binn,p Since the outcomes are independent of outcomes of previous…

Q: Suppose that a random variable x has a uniform distribution to the integer 10...20. Find the…

A: * SOLUTION :-

Q: For one adult chosen at random, compute the probability that: (i) he reads none of the papers

A:

Q: Q1. In a company, it is reported that 62% of employees are concerned about their health con- dition…

A:

Q: Suppose that the​ time, in​ hours, required to repair a heat pump is a random variable X having a…

A: Given that, α=2 ; β=12 P(X≤2) can be computed using Excel function [ = GAMMA.DIST(2,2,12,TRUE) ]…

Q: Find the expectation of a discrete Random variable whose probability function is fx (x) = for x I,…

A: Answer: Using the given data, We get,

Q: A factory received a shipment of 11 capacitors, and the vendor who sold the items knows there are 3…

A: Introduction: Suppose X is the number of defective capacitors in the sample. It can be assumed that…

Q: According to a recent study, 50 % of adult smokers started smoking before 21 years old. A random…

A:

Q: Assume that his shots are Bernoulli trials, and that he makes 1 in 3 of his shots. How many three…

A: According to the provided data, the probability of making points is 1/3 and the probability of…

Q: Find the probability that an investor makes a profit on 6 of her next 12 investments, assuming…

A:

Q: A machine that manufactures automobile parts produces defective parts 15% of the time. If 6 parts…

A:

Q: The time it takes me to wash the dishes is uniformly distributed between 6 minutes and 15 minutes.…

A:

Q: A life insurance company has found a 3% probability that a randomly selected application contains an…

A:

Q: A factory received a shipment of 14 flanges, and the vendor who sold the items knows there are 8…

A: Solution: a. From the given information, there are 14 flanges. Out of which there are 8 flanges are…

Q: A bus company is interested in the wait time of its passengers 8:00 AM and 8:00 PM. Suppose that the…

A: Given that the waiting time follows Uniform distribution with minimum wait time one minute and…

Q: Q1) 14% of the adults in a certain population are infected by a Corona Virus. Five adults are…

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Q: A company orders the memory for their devices from two suppliers. Supplier A supplies 82% of the…

A:

Q: Suppose that X is an exponentially distributed random variable with Å = 0.75. Find each of the…

A:

Q: A random number generator produces sequences of independent digits, each of which is as likely to be…

A: Solution:  Let X denotes any single digit.  The possible values of X are 0,1,2,3,4,5,6,9. Each…

Q: A survey determines that six out of every ten Destin residents shop at Target. In a group of 10…

A: Givenn=10p=610=0.6x=no.of residents shop at targetx~Binomial(n=10,p=0.6)P(X=x)=Cxnpx(1-p)n-x  ;…

Q: The quality-control inspector of a production plant will reject a batch of syringes if two or more…

A: Giventotal number of syringes taken from batch = 8  Probability of defective syringes = p = 0.05…

Q: let Xxx Xx A randomsamele that follows a normat exponential ExP(@), The Probability distribut f cl…

A: Solution

Q: Calculate the probability that the contract was awarded to textile distributor K given that the…

A: P( K win the  contract ),PK=0.4 P( L win the  contract ),PL=0.3 P( M win the  contract ),PM=0.3 P( K…

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8…

A: Given, A factory received total 15 capacitors In that there are 8 capacitors are defective

Q: In the game of roulette, a player can place a $6 bet on the number 11 and have a ag probability of…

A: Given Data : A bet of $6 on getting the number 11                      Probability of winning is 138…