You have a collection of 15 phone cords, 4 of which work to charge your current phone and 11 of which are either broken or belong to old phones. You pick 2 cords randomly from the collection. Let X = the number of working cords among those 2. Write out the probability mass function (pmf) of X in table form.

Q: Let X be a discrete random variable with support S = { 1, 2, 3 }. Let the probability mass function…

A: Given,f(x)=114x2   ; if x∈S0          ; if ∉Sand S={1,2,3} X 1 2 3 f(x) 1/14 4/14 9/14

Q: A box contains 13 defective and 7 non-defective bulbs, find the probability mass function (pmf) of…

A: Solution-: Given: Number of defective bulbs =13 and Number of non-defective bulbs=7 We select 5…

Q: Let assume that an automobile manufacturer introduces a new battery for automobiles and tests for…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: 20% of the workers in a factory work in plant A and 80% work in plant B.  The number workers…

A:

Q: A nut company markets cans of deluxe mixed nuts containing almonds, cashews, and peanuts. Suppose…

A: The given joint probability density function is fy1,y2=24y1y2,     0≤y1≤1,0≤y2≤1,y1+y2≤10,…

Q: The manufacturer of a fertilizer guarantees that, with the ald of the fertilizer, 75% of planted…

A: P =0.75      9=1-p    =1-0.75     =0.25n=7x= No.of selected corret manufacture.p(X=x) =ncx  .  px…

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: Suppose that 1 in 5,000 light bulbs are defective. ABC Lightco has just received a shipment of…

A: Given that, n=10000,p=15000  Let X denote the number of defective light bulbs in a group of size…

Q: In a population where 58% of voters prefer Candidate A, an organization conducts a poll of 99…

A:

Q: A park ranger is searching for bears in a region of the park where on average there are 5 bears per…

A: Let X be the random variable which takes the values as the number of bears the park ranger found in…

Q: Find the probability that none of the three bulbs in a set of traffic lights will have to be…

A:

Q: A box contains 10 fuses. Eight of them rated at 10 amperes (A) and the other two are rated at 15 A.…

A:

Q: 3. Find the probability mass function of the random variable Y which represents the number of red…

A: Introduction: The random variable Y is the number of red marbles when 3 marbles are drawn at random…

Q: A group of students consists of 5 females and 10 males. If 8 students are to be selected at random…

A: We have to use classical probability definition to find the probability.

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 65% of planted…

A: Let "X" be the planted that will germinate.

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 75% of planted…

A: Let the random variable X denote the no. of planted seeds will germinate and it follows binomial…

Q: x is the number of defective parts in a sample of 10 randomly selected parts coming from a…

A:

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 70% of planted…

A:

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: You have a bag of 1 gold coin, 2 red coins and 3 blue coins and you can only select two at random to…

A: a.) Let S be the sample space, then n(S) = number of ways of picking 2 coins out of 1+ 2+3 =6 ⇒C26…

Q: a) Mrs Legodi, a registered student at the University of Limpopo, tossed a fair coin three times.…

A: Given information: No. of tosses=3X=random variableX=1, if outcome is head=0, elseY=total number of…

Q: In an automated filling operation, when the process is run at slow speed, the probability of an…

A: Given that in an automated filling operation, when the process is run at slow speed, the probability…

Q: a. Compute the probability that neither line is busy more than half the time. b. Find the…

A:

Q: a) An assembly consists of three mechanical components. Suppose that the probabilities that the…

A: Let X be the events that the first component meet the specifications Let Y be the events that the…

Q: A box contains 20 electric lamps of which 5 are defective. A man selects two lamps randomly and he…

A:

Q: Suppose the time it takes for Sandy to run one kilometer is uniformly distributed from 360 seconds…

A: Let X be the time it takes for Sandy to run one kilometer is uniformly distributed from 360 seconds…

Q: What is the theoretical probability of rolling a 8-sided die 2 times in a row, and all of them…

A: Sample space (S): Total possible outcome n(S) = 8*8 = 64

Q: Let X be a random variable that indicates the charging time of a battery. The probability density…

A:

Q: A local jam production company is confident that 60% of the population will like its new grapefruit…

A:

Q: A private pilot wishes to insure his airplane for $200,000. The insurance company estimates that a…

A: Total Insurance Pilot wishes=$20,000 At, loss=100%, the claim amount is $20,000…

Q: A box contains 3 red marbles and 5 blue marbles. Two marbles are taken at random without…

A: A box contains 3 red marbles and 5 blue marbles. Two marbles are taken at random without…

Q: For a given electronic component, it has been shown that it is necessary to restart once every 250…

A: INTRODUCTION:  Definition: Conditional Probability  suppose A and B are any two events. the…

Q: Amrita flips a biased coin repeatedly until she observes that both a head and a tail appear. The…

A: The probability distribution of N will be a geometric distribution. The smallest value of N will be…

Q: factory received a shipment of 14 flanges, and the vendor who sold the items knows there are 7…

A:

Q: A balanced die is rolled 3 times. Let x1 be the number of times 1 appears and x2 be the number of…

A: GivenA dice is rolled three times.X1 be number of times 1 appearX1 =0,1,2,3X2 be number of times 2…

Q: Suppose X, Y are two discrete random variables with probability function given by: Y\X -1 1 1/8 1/8…

A:

Q: A local jam production company is confident that 60% of the population will like its new grapefruit…

A:

Q: A Genuine motor company manufactures an assembly which consists of three mechanical components.…

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: Suppose 40 % of students who drive to campus carry jump cables in their cars in case of a dead…

A: NOTE : As per our company guidelines, we are supposed to answer only the first 3 parts. Kindly…

Q: Consider a discrete random variable with the following probability mass function. 4-x x = 1,2, 3 6.…

A:

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 16…

A: Let the R.V X denotes the number of defective pens and it follows the binomial distribution with…

Q: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 70% of planted…

A: Formula : Binomial distribution is given by

Q: During the 2015-2016 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting…

A: Given that  The probability of Jodie Meeks makes any given free throw is fixed at 0.906 P(F) = 0.906…

Q: Consider a computer system with poison job arrival stream at an average of three job arrivals per…

A: λ = 3 per minute

Q: The number of packets, X, delivered to a router, is known to be Poisson distributed with A = 6…

A:

Q: 2) A data packet consists of 10,000 bits, where each bit is a 0 or a 1 with equal probability.…

A: Given Information:- P(x = 0) = 0.50 P(x = 1) = 0.50 n = 10,000 x = 5200

Q: In a village power cuts occur randomly at a rate of 3 per year. Use a suitable approximation to find…

A:

Q: Ten balls are drawn at random from a bucket containing 15 red balls and 7 blue balls. Let X be the…

A: