Consider a machine shop having 20 machines and that the chance of any one of them mal functioning during any day being 0.02. What is the probability that exactly three machines will be out of service on the same day? Compare the results standard from poisson distribution and Binomial distribution.

Q: The average number of deaths from lung cancer in a certain population per year has been observed to…

A: Obtain the probability that during the current year fifteen or more people will die from lung cancer…

Q: In a study of the effectiveness of an insecticide against a certain insect, a large area of land was…

A: The question is about Poisson distribution Given : No. of live insects per square follows Poisson…

Q: The number of accidents on a US -131 highway average 4.4 per year. Assuming that the number of…

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Q: If X is a random variable with a mean of 20 and a standard deviation of 5, what is the probability…

A: probability that X is greater than 25=0.1587

Q: You purchase a chainsaw and can buy one of two types of batteries to power it, namely Duxcell and…

A:

Q: If Y is a random variable with a mean of 10 and a standard deviation of 2, what is the probability…

A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 2

Q: ppose the number of births at a local hospital follows a Poisson distribution with a mean of 6…

A: given data  λ = 6 births per week cx = no. of births in a week P(x=X) =e-λ(λ)xx!

Q: Flaws occur in the interior of plastic used for automobiles according to a poisson distribution with…

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Q: One of the machines is causing quality problems as 5% of the engine parts produced on this machine…

A: From the provided information, 5% of the engine parts produced on this machine have been found to be…

Q: What is the probability that an Infinitycell battery will last more than twice as long as a Duxcell…

A: It is a problem of normal distribution. Given, The mean and standard deviation of the lifetimes of…

Q: Suppose you draw a random sample of 100 observations from a population with a variance = 25. What is…

A:

Q: he birth rate in a hospital is given to match the Poisson distribution with an average of 1.2 per…

A: Given Data: Let X represent the birth rate per hour   λ=1.2 X~ Poi (1.2)

Q: Consider a Poisson distribution with a mean of 3 occurrences per time period. Find the probability…

A: Given : Consider a Poisson distribution with a mean of 3 occurrences per time period i.e λ = 3

Q: A traffic light is set to switch from red to green according to a uniform distribution with a mean…

A: The cumulative density function for uniform distribution is  F(X)=x-ab-a The mean of uniform…

Q: Suppose the salaries of a company that pays to its employees are normally distributed with an…

A:

Q: Suppose that the number of cars crossing a bridge per day follows a Poisson distribution with an…

A:

Q: Suppose the salaries of a company that pays to its employees are normally distributed with an…

A: Given that the salaries of a company that pays to its employees are normally distributed with an…

Q: Suppose the number of births at a local hospital follows a Poisson distribution with a mean of 6…

A: From the provided information, The number of births at a local hospital follows a Poisson…

Q: The number of alpha particles per square centimeter emitted by a radioactive substance is Poisson…

A:

Q: The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to…

A:

Q: A life of a Radio Shack record player is normally distributed with a mean of 3.3 years and a SD of…

A: mean of 3.3 years and a SD of 0.8 years

Q: 2. Show that a Uniform(0, 0) random variable is not an exponential family distribution.

A: A joint probability mass function or joint probability density function, {f(x|θ;θ=(θ1,θ2,...θn)∈Θ}…

Q: Suppose the salaries of a company that pays to its employees are normally distributed with an…

A:

Q: The number of typing errors made by a typist has a Poisson distribution with an average of three and…

A: It is given that, the number of typing errors made by a typist has a Poisson distribution with an…

Q: We have seen that nonindependence of alleles (possibly caused by differential mortality of…

A:

Q: We suppose that the weight of men follows a normal distribution whose parameters are 80 kilos and 15…

A: Here, µ=80 and σ=15.

Q: Suppose we are interested in the mean burning rate of a solid propellant, a random variable that can…

A:

Q: If X is a random variable with a mean of 20 and a standard deviation of 5, what is the probability…

A: From the provided information, Mean (µ) = 20 Standard deviation (σ) = 5

Q: Female dart cat make 2.3 calls/min at night. Calls occur randomly and are independent of one…

A:

Q: Flaws occur in the interior of plastic used for automobiles according to a poisson distribution with…

A:

Q: If Y is a random variable with a mean of 30 and a standard deviation of 10, what is the probability…

A: Let Y be the random variable from normal distribution with mean (μ) = 30 and standard deviation (σ)…

Q: Assume that the number of births in a local hospital follows a Poisson distribution and averages 4.2…

A: Given: Mean (λ) = 4.2 Consider, X be a random variable that represents the number of birth in a…

Q: A city temperature is modeled as a normal random variable with mean and standard deviation both…

A: given data,  Mean (μ) = 10  S.D(σ) =10Let X be normally distributed random variable P(X≤15) = ?