with a mean life of 500 hours. Suppose that the component was in operation for 400 hours. What is the conditional probability that it will last another 500 hours?

Q: An analyst predicted that 3.5% of all small corporations would file for bankruptcy in the coming…

A:

Q: Suppose a life insurance company sells a $270,000 one-year term life insurance policy to a…

A: Formula for expected value :  Expected value= ∑xP(x)

Q: A used truck salesman in a small town states that, on the average, it takes him 5 days to sell a…

A: Consider X be a random variable that represent the length of time between sale. Since the average…

Q: What is the probability that a particle will be in the dominant configuration? Total microstate is…

A: Given: x=13n=5005

Q: Suppose a life insurance company sells a ​$280,000 ​one-year term life insurance policy to a…

A: The probability that the female not survives is, PNot survives=1-Psurvives=1-0.999606=0.000394 The…

Q: A $500,000 term life insurance policy sell for a premium of $900.  If the probability of living…

A: The formula to find the expected value is given below:

Q: Suppose a birth control pill is 97% effective in preventing pregnancy. (Round your answers to three…

A: Given, birth control pill is 97% effective in preventing pregnancy. (a) 0.97^200 = 0.0023 = 0.002

Q: Based on a USA Today poll, assume that 10% of the population believes that college is no longer a…

A: From the given information, the number of people are randomly selected n = 16. Let X be event that…

Q: According to a recent study, 1 in every 10 women has been a victim of domestic abuse at some point…

A:

Q: A life insurance company will sell a $200,000 one-year term life insurance policy to an individual…

A:

Q: If X ~ exp ((b), calculate the probability that X exceeds its expected value.

A: It is given that X~Exp(b), the PDF PDF of X is given by,

Q: A manager of a fast food restaurant observes that, an average of 9 customers are served by a waiter…

A: Let, X:  Service time for waiter Given X~exp(α) Where,   α= 9 customers/hour

Q: According to a recent study, 1 in 7 women has been a victim of domestic abuse at some point in her…

A: Solution: Let X be the random variable that the number of women  has been a victim of domestic abuse…

Q: If new cases of West Nile in New England are occurring at a rate of about 2 per month, then what’s…

A: n = 6x = 4p(x)=nxpxqn-xp = 4/6 = 2/3q = 1 - p = 1 - 2/3 = 1/3p(x)=nxpxqn-x…

Q: Since the stock market began in 1872, stock prices have risen in about 72% of the years. Assuming…

A:

Q: A fair die is rolled six times. What is the probability that it comes up 2 at least once

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

Q: b) The time a data packet requires to arrives to its target destination is an exponential random…

A: The word probability comes from the word probable, meaning 'likely but uncertain'. Thus the…

Q: A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1,…

A: Given: A die in which 2,4,6 is likely to come twice as each of 1,3,5. The objective is to find the…

Q: An average of 3 cars arrived at a highway tollgate every minute. What is the probability that at…

A:

Q: Suppose a birth control pill is 98% effective in preventing pregnancy. (Round your answers to three…

A: Let us denote X= number of non-pregnant women  n= number of trials= 100 p= probability of a success=…

Q: The annual volume of rain (in mm) in a certain region is normally distributed with μ = 40 and a σ =…

A:

Q: A certain airport receives on an average of 4 aircrafts per hour. What is the probability that no…

A:

Q: During a Kansas tornado season, the probability a local grocery store experiences power outage on…

A: (d) On at least one day: P(At least 1 day)= 1- P(None of days) --(1) So 1st we need to find P(None…

Q: Suppose Solar power plants failures occur with an average of 5 failures every year, calculate the…

A: Given data: 5 = failures every year To find: The probability that there will not be more than one…

Q: Suppose that a policeman with a radar gun is watching traffic pass on a street where it is the case…

A:

Q: What is the estimated probability of experiencing a sore throat on waking if the duration of the…

A: The data given is as follows Patient d t y 1 45 0 0 2 15 0 0 3 40 0 1 4 83 1 1 5 90 1…

Q: In a video game, a specific attack succeeds at a rate of 18% and every try is independent.…

A:

Q: g. What is the probability that the useful life of a laser exceeds five years?

A:

Q: (ii) If it is known that the supercapacitor has been working 950 hours, what is the probability that…

A:

Q: 4 . Suppose you bought two computers, one has an exponential life time of mean 10 years and the…

A: The cumulative distribution function for the lifetime of the first computer is given by the cdf of…

Q: The waiting time at a railroad crossing follows an exponential distribution, with an average time of…

A:

Q: A six-sided die, in which each side is equally likely to appear, is repeatedly rolled until the…

A: Let S A be the  X1+X2+X3+.......+X140 ,   where Xirepresents number obtained in the ith roll

Q: Find the probability that a randomly selected month had a PCE that falls below $550.

A:

Q: In a recent year 304 of the appoximately 300,000,000 people in the USA were struck by…

A: There are 300,000,000 people in the United States in which 304 people were struck by lightning. The…

Q: During a Kansas tornado season, the probability a local grocery store experiences power outage on…

A: (c) On none of the days: P(None of days)= (1-0.125)5 P(None of days)=(0.875)5 P(None of days)=…

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: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

A: Given: Mean number of customers every 3 minutes = 2 Mean number of customers for 9 minutes = 2×93=6…

Q: A man purchased a $26,000, 1-year term-life insurance policy for $375. Assuming that the probability…

A: The probability that the man will live another year= 0.99 =the probability that the company loses…

Q: Based on historical data, an insurance company estimates that a particular customer has a 1.4%…

A: Given: The annual premium = $50 Average insurance payout = $1500 Likelihood of having accident =…

Q: In a video game, a specific attack succeeds at a rate of 20% and every try is independent. Determine…

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 the amount of gasoline sold daily at a service station is uniformly distributed with a…

A: From the provided information, The amount of gasoline sold daily at a service station is uniformly…

Q: Suppose the average tread-life of a certain brand of tire is 45,000 miles and that this mileage…

A:

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

A:

Q: Find the probability that a driver with at least one collision in the past year is a middle aged…

A:

Q: It is estimated that 3.6% of the general population will live past their 90th birthday.  In a…

A: Continuity correction factor table: If   P(X=n) use   P(n – 0.5 < X < n + 0.5)If   P(X > n)…

Q: Assume a students alarm clark has a 13.4% daily failure rate, what is the probability that 2 alarm…

A: