A battery comes from supplier 1 with probability 0.6 and from supplier 2 with probability 0.4. atteries from supplier 1 and 2 have exponentially distributed life-times with expected values of 3 and months, respectively. The battery coming from one of the suppliers has already used 1 month. What the probability that the battery will last for another 4 months?

Q: A battery comes from supplier 1 with probability 0.6 and from supplier 2 with probability 0.4.…

A: This is an example ..from exponential distribution...........

Q: Suppose we are in an experiment where each trial has p = 1/6 chance of success, and that the trials…

A: 1. Given p = 16     n = 12     x = 3 P(X=x) = Cxn px (1-p)n-x  ; x=0,1,2....n…

Q: A company estimates that 0.1% of their products will fail after the original warranty period but…

A: Given Cost is 46

Q: On average 2 workers get injured at XTC Ltd every year. What is the probability that 3 or more…

A: Here we use poisson distribution to find the probability.

Q: A sugar refinery has three processing plants, all receiving raw sugar in bulk. The amount of raw…

A:

Q: A company estimates that 0.7% of their products will fail after the original warranty period but…

A:

Q: Suppose a company charges an annual premium of $475 for a fire insurance policy. In case of a fire…

A: We make a probability distribution for claims Claim (xi) 0 100000 Probability (pi)…

Q: A hospital decides to bring in a new surgical resident with a known high success rate for total knee…

A:

Q: There is a bank office with a single operator. The service time of each customer is exponentially…

A:

Q: A company estimates that 0.1% of their products will fail after the original warranty period but…

A: Given that: The percentage of product fail = 0.1 % = 0.001 Replacement cost = $ 200   Now, here…

Q: Suppose the time it takes Alex to do this exam is exponentially distributed with parameter 3 per…

A: Introduction to Exponential distribution: A random variable X is said to have a exponential…

Q: 4. The time between arrivals of taxis at a busy intersection is exponentially distributed with a…

A: A continuous random variable X is said to follow Exponential distribution with parameter λ, if its…

Q: A company estimates that 0.7% of their products will fail after the original warranty period but…

A: A company estimates that 0.7% of their products will fail after the original warranty period but…

Q: A manufacturer of light bulbs finds thatthe mean lifetime of a bulb is 1200 hours. Assume the life…

A:

Q: Suppose that the cost of performing an experiment is 1019. If the experiment fails, an additional…

A: Let x be the per person trial till he successes Total number of successful trial = 1 Total number of…

Q: 4. The time between arrivals of taxis at a busy intersection is exponentially distributed with a…

A: Given that -The time between arrivals of taxis at a busy intersection is exponentially distributed…

Q: 1. The lifetime (in years) of a specific helicopter part follows an exponential distribution whose…

A: X~ Exponential(λ) Given  1λ= 3.2

Q: What is the probability​ that, during a 25​-year ​period, there will be two or more​ "Class D20​"…

A: From provided information, during a recent 30​-year period, there were eight volcanic eruptions…

Q: A company estimates that 0.8% of their products will fail after the original warranty period but…

A: They are selling extended warranty for $32 Also 0.8 will fail and they would incur $250 on that…

Q: A company estimates that 0.5% of their products will fail after the original warranty period but…

A: It is given that the company estimates that 0.5% of their products will fail after the original…

Q: A company estimates that 0.9% of their products will fail after the original warranty period but…

A: Given, The percentage of company’s product will fair after 2 years of original warranty = 0.9 % The…

Q: A certain kind of appliance requires repairs on the average once every 2 years. Assuming that the…

A: Given, A certain kind of appliance required repairs on the average of every 2 years  Assuming that…

Q: A company estimates that 0.3% of their products will fail after the original warranty period but…

A: Let X be a discrete random variable that assumes values x1,x2, ... xn  with respective…

Q: A company makes bobble head dolls. One out of every 5 is faulty, but the company doesn't know which…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: A company estimates that 0.8% of their products will fail after the original warranty period but…

A: A company estimates that 0.8% of their products will fail after the original warranty period but…

Q: we have an ongoing production process that has historically operated with 1% non conforming output.…

A: (a)   The percentage of the time will the process need to be stopped is 13.99% and it is calculated…

Q: A manufacturer has determined that a particular model of air conditioners has an expected life with…

A: Let X be the life time of the air conditioners follows exponential distribution with mean of five…

Q: A hospital has two operation rooms. The service times for each of them is exponentially distributed…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: The lifetime, in years, of a certain type of electrical switch has an exponential distribution with…

A:

Q: Consider a stock with an initial price of $40, an expected return of 16% per annum, and a volatility…

A: According to  Black Scholes Merton Model, stock prices are log-normally distributed. We can express…

Q: 14. Lucky Lumen light bulbs have an expected life that is exponentially distributed with a mean of…

A: Given that mu = 20000 Using exponential distribution Find the probabilities

Q: A company estimates that 0.1% of their products will fail after the original warranty period but…

A: Given Information Probability of replacing in first 2 years  = 0.001 Cost of replacement =  $300…

Q: A certain type of storage battery lasts, on average, µ=3.0 years with o= 0.5. Assuming that the…

A: Given: μ = 3 σ=0.5 The corresponding z-value needed to be computed is:

Q: (b) Suppose that during rainy season on a tropical island the length of the shower has an…

A: The exponential probability distribution function is given by, ft=λe-λt Since the parameter is given…

Q: electrical switch, has an exponential distribution with an average lifetime of 2 years. (a) If 100…

A: @solution::::

Q: A company estimates that 0.9% of their products will fail after the original warranty period but…

A: Given : A company estimates that 0.9% of their products will fail after the original warranty period…

Q: The ten-year survival rate for bladder cancer, when a patient is properly treated, is 55%. If twelve…

A: Given: n = 12 Ten year survival rate =  55% It means, the probability that the patient survive past…

Q: A company estimates that 0.7% of their products will fail after the original warranty period but…

A:

Q: A woman purchased a $15,000 1-year term-life insurance policy for $200. Assuming that the…

A: Expected value:The expected value of a random variable is the sum of the possible values that the…

Q: Suppose 5 students are going to take a test independently from each other and that the number of…

A:

Q: A company estimates that 0.6% of their products will fail after the original warranty period but…

A: Outcome 1 = $35 Outcome 2 = -($300-$35) = -$265   Probability of outcome for $35 is 1-(0.6/100) =…

Q: If X is exponentially distributed, prove that the probability that X exceed its expected value is…

A:

Q: A company estimates that 0.9% of their products will fail after the original warranty period but…

A: Warranty sold = $ 22 Warranty payout = -$150 Probability of payout = 0.9% = 0.009

Q: Suppose that the lifetime of a soft white light bulb follows an exponential distribution with…

A: Let us define X1 as the lifetime of a soft white light bulb follows exponential distribution with…

Q: Another engineer is testing a different set of chips from a different wafer and hasn't seen a…

A: No. of chip tests = 200.  There has no been a defective in the past 50 chips.  But here, this wont…

Q: A manufacturer will purchase a battery from one of two suppliers. This manufacturer will get the…

A: The probability distribution function for exponential distribution is given by : f(x)=λe-λx, x≥0 The…

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

A:

Q: A company estimates that 1% of their products will fail after the original warranty period but…

A: Using the given information we make a table Amount spent 480 0 Probability 1% of 0.01 99% of…