An old-fashioned string of Christmas tree lights has 10 bulbs connected in series. The 10 identical bulbs are assumed to have independent times-to-failure with constant failure rate λ. Determine λ per week such that the probability that the string survives 3 weeks is at least 99%.

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A: The probability of obtaining a head in one toss of a coin is 1/2  the probability of obtaining two…

Q: 1) Suppose that the expected number of accidents occurring on a highway each day = 2. (a) What is…

A: Poisson Distribution: A discrete random variable X is said to be Poisson distribution and the…

Q: 3. An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown…

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A: Given information: X~Binomial100,0.3 X is a Binomial random variable with the parameters: Sample…

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A: Given, The probability of getting the job is =x/3 The probability of not getting the job is = 2/3

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A:

Q: The time between 2 city buses follows exponential distribution with rate 2 buses per hour 1. What is…

A: The probability density function for exponential distribution is given by f(x)=λe-λx and it is…

Q: If  X  is an unknown with the only possible values 1,2,3,4, or 5.   Suppose that 1, 2, 3, 5, all…

A: Given, A rv x has values 1,2,3,4.5. and 1,2,3,5 all having equal probability but 4 have 6 times as 5…

Q: If a basket ball player makes a 3 point shot, he has a 55% chance of making his next shot.  If the…

A: Let Ei denotes the event that the player makes the ith 3-point shot, i=1,2,3. Given that if a…

Q: It is known that the waiting time for a car to pass by on a country road is exponentially…

A:

Q: Find the probability of choosing two numbers from 0 to 1 such that sum of their square is less than…

A: Formula: Probabolity=(no of  possible out come/Total no of out come)

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A: P(443<X<528)=?

Q: If the time T to failure of a component is exponentially distributed with para- meter 1 and if n…

A:

Q: Machines are sent to a repair shop where three mechanics work. The mechanics can repairmachines…

A: The objective of this question is to find the average time it will take to fix all the machines and…

Q: Suppose that the random change in value of a financial asset is X over the first day and Y over the…

A: The variance of X+Y is calculated asVarX+Y=VarX+VarY-2CovX,Y

Q: Each day a machine is put in operation for five hours. Suppose that the number of hours of operation…

A: The number of hours of operation until failure of the machine follows Exponential with mean 4 hours.…

Q: A certain transmitter sends messages with λ=20 messages per hour. X denotes the time in hours from…

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A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…

Q: 1. An egg-guarding female can produce 2 clutches of 100 eggs (each) in a season, with a survival…

A: An egg-guarding female produces 2 clutches of 100 eggs with 50% survival rate and 95% maternity. An…

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A: The Poisson distribution is used to calculate the probability of getting r number of…

Q: A battery has an expected life (miles) as follows N(300000,10000). If there are 100000 cars in the…

A: Let X be the battery has an expected life X~N(300000,10000)

Q: Tadashi sent 2000 bits of data to Hiro via a noisy channel. Due to the noise, each bit may have an…

A:

Q: The probability that he picks 6 strawberry flavoured one is

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Q: Suppose that the length of a phone call in minutes follows exponential distribution with parameter…

A:

Q: Suppose each time you take a free-throw, there’s 20% chance that it will go in. You must make 5…

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Q: Oliver knows that a virus is relatively virulent and estimates that 15% of the population has the…

A: Let the testing kit of Oliver accurately identifies the disease with a probability of p. Probability…

Q: 4. Bag A contains 3 red balls and 7 blue balls. Bag B contains 8 red balls and 4 blue balls. Bag C…

A: Given: Bag A contains 3 red balls and 7 blue balls. Bag B contains 8 red balls and 4 blue balls. Bag…

Q: At an Ingo Armenia call center, calls come in at an average rate of one call every 4 minutes. Assume…

A: Given,A random variable X~Exponetial(λ=14)and the CDF of X isF(X)=P(X≤x)=1-e-xλ ; x≥0

Q: Suppose, you are given a straight-line equation, 3x+2y=6 where x and y both of them are integer…

A: ∣y∣<12 means that the values of ∣y∣ can be 11,10,9,8,7,6,5,4,3,2,1 and 0.  Value of |y|…

Q: A machine has three components but can remain functional if at least two are working. uppose that…

A: Statistics           Statistics deals with the collection of information, presentation,…

Q: The disused hockey stadium metropolis East could be deployed for up to three television cameras, in…

A: Proceed as simple probability calculation.....................

Q: a certain city, projections for the next year indicate there is a 20% chance that electronics jobs…

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Q: A five years Business Informatics student studying at TU Wien does some temporary substitute work on…

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Q: A local fan club plans to invest  19,429   to host a soccer game. The total revenue from the sale of…

A: Investment =$19,429Revenue=$70,182P(Rain)=0.15