1. On average, people born in the years 1957 to 1964 held an average of twelve jobs from ages 18 to 52'. Estimate the probability that you will hold exactly three jobs in your life. Round to four decimal points. Hint: Model it as a Poisson variable.

Q: The time to failure of a certain type fo electrical component is assumed to follow an exponential…

A: Let X be the random variable that a component will fail within a particular time period

Q: The time it takes me to ride my bike to school is uniformly distributed between 27 minutes and 48…

A:

Q: at least one accident occurs today

A: let Us take the pmf of Poisson Distribution is P(X=x)=l-λλxx! ; λ>0,X=0,1.... given mean λ=2

Q: An insurance company insures 10,000 cars. For each car, the expected amount claimed in a year is…

A: Given: Expected claim amount in a year μ = $400 Standard deviation σ = $2000 Company cost per policy…

Q: Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling…

A: From the provided information, Average time between cars (1/λ) = 1.7 seconds X~exp (1/1.7)

Q: Suppose that the value of a stock varies each day from $13 to $22 with a uniform distribution. (d)…

A:

Q: Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives…

A: Given, The times from when a person arrives at the shoreline until a crashing wave is observed…

Q: It was observed that around 90% of a certain ceramic sample fractures within 5 hours once subjected…

A:

Q: A certain type of device has an advertised failure rate of 0.01 per hour. The failure rate is…

A: From the provided information, Advertised failure rate of 0.01 per hour. Let X be a random variable…

Q: Assume that over short periods of time, the stock price is approximately normally distributed with…

A: Given mean, μ=10% or 0.1 standard deviation, σ=30% or 0.3 Expected no. of discrete stock price jumps…

Q: Derive that mean and variance of the poisson distribution using exponential families.

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Q: The arrival time for a delivery driver in Canberra is exponentially distributed with a mean of 25…

A:

Q: A power supply unit for a computer is assumed to follow an exponential distribution with a mean life…

A:

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and…

A: Given X is normal Distributed with mean µ = 79.0 and standard deviation σ = 6.0 now will using…

Q: The waiting time at a grocery checkout has an exponential distribution with mean of 9 minutes. What…

A:

Q: What is the probability that more than three planes will land in one hour?

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Q: Assume the amount of time (in minutes)a postal clerk spends with his or her customer. The time is…

A:

Q: Given that x has a Poisson distribution with u = 1.6, what is the probability that x = 3? P(3)…

A: Given that,X follows Poisson distributionMean = 1.6

Q: At a train station, there are 7 ticket vending machines. Customers waiting line to buy tickets from…

A: Given information: Number of Vending machines=c=7 Arrvival time=2 minutesλ=12 per minutes=12×60 per…

Q: Write down the formulas of the Bernoulli, Binomial, Uniform, Exponential, and Poisson distributions

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Q: Given that x has a Poisson distribution with μ=9​, what is the probability that x=7​?

A: The probability mass function for Poisson distribution is given by :…

Q: The lifetime of a particular brand of battery, X, follows an exponential distribution with a mean of…

A: We have given that, X be the random variable from exponential distribution with mean = 105 Rate(λ) =…

Q: According to a study done by De Anza students, the height for Asian adult males is normally…

A: According to a study done by De Anza students, the height for Asian adult males is normally…

Q: The time (in hours) until the next emergency arrival at a hospital follows an exponential…

A: Given: mean = 2.1 Last arrival = 3 hours back

Q: Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives…

A: From the given information, Consider, X be the continuous random variable that represents the…

Q: Suppose the Poisson distribution applies and that the mean number of accidents occurring on a…

A: As per our guidelines we are suppose to answer first question . Let,X=no.of accidents occuring on…

Q: suppose the average waiting time for a customers phone call to be answered by a company…

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Q: d. The probability that the child will be between 5.27 and 5.67 years old is e. If such a child is…

A: Given Information: Age of children in kindergarten on the first day of school is uniformly…

Q: One nanogram of Plutonium-239 will have an average of 2.5 radioactive decays per second. Use the…

A:

Q: 7. The time between landings of planes at a local airport has an exponential distribution with a…

A: Given that - The time between landings of planes at a local airport has an exponential distribution…

Q: Find the probability that the average weekly unemployment benefit of a random sample of 15 benefits…

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Q: The number of miles driven by a truck driver in a day falls between 300 and 700, and follows a…

A: The probability that the truck drivers goes between 325 and 675 miles in a day is 0.875, which is…

Q: Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office…

A: For a continuous distributions, exact probabilities are zero.

Q: The number of visits to a website is known to have a Poisson distribution with a mean of 10 visits…

A: Solution

Q: The time to failure of a certain type fo electrical component is assumed to follow an exponential…

A: Consider X be a random variable which follows exponential distribution indicates the failure time of…

Q: The actual delivery time from a pizza delivery company is exponentially distributed with a mean of…

A:

Q: 4. The time between calls to a plumbing supply business is exponentially distributed with a mean…

A: Let X be the continuous random variable representing the time between the calls. The time between…

Q: The actual delivery time from a pizza delivery company is exponentially distributed with a mean of…

A: Given,A random variable X~Exponential (θ=120)f(x)=θe-θx ; x≥0 f(x)=120 e-x20      ; x≥0

Q: Sketch the distribution, show the mean and standard error, and shade the part of the curve…

A: Given: p=0.34 n=1000

Q: 4. The time between calls to a plumbing supply business is exponentially distributed with a mean…

A: The mean time is 15 minutes. Therefore the mean rate is 115≈0.067 calls per minute The function is…

Q: A librarian wants to estimate the average number of book a patron will check out over a years time.…

A: Given: Sample size, n = 100  Population SD, σ=20 The margin of error E to be less than 5 we have…

Q: The time between calls to a corporate office is exponentially distributed with a mean of 0.2 hours.…

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Q: The time between arrivals of customers at the drive-up window of a bank follows an exponential…

A:

Q: He leaves his house at 7:45 am.If his next class has a quiz from 9:00 am to 9:10 am, what is the…

A: Solon commutes daily from his home to school. On the average, the trip takes 84 minutes, with a…

Q: Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office…

A: We have to find given probability.

Q: Given that x has a Poisson distribution withµ= 2, what is the probability that x = 5 P(5) = (Round…

A: Given information- We have given the problem of Poisson distribution. Mean, µ = 2 X = Poisson random…

Q: The time it takes me to ride my bike to school is uniformly distributed between 27 minutes and 36…

A: Say X is the random variable that denotes the time taken to reach school  X ~ uniform distribution…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.