show geometric distributions belong to exponential class

Q: The time between arrivals of buses at a bus stand is exponentially distributed with a mean of 20…

A: Problem can be solved using exponential distribution formula.

Q: what are the parameter values of the lognormal distribution.

A: Given, Mean = 120.87 Coefficient of variation = 9% X~lognormal(μ,σ2)

Q: Let X is random variable which represents life time of a certain computer part . X  is exponentially…

A: Given that,  Mean of exponential distribution is  1/λ = 10 So λ = 1/10 X~ exponential(1/10)

Q: The lifetime of a computer component follows an exponential distribution with a mean lifetime of 5.6…

A:

Q: Suppose that the first Section of Applied Stat class ends at 13:20 and the second starts at 13:30…

A: Given information: The mean of exponential distribution is , 1λ = 6.7. Let X be a random variable…

Q: Determine moment generation function of the Exponential distribution.

A:

Q: A certain digital library has 1,000 files in a download queue. Assume the time to download each file…

A: Given,The average time per file is 3.2 secondsso, the average time per total time to download…

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

A: Given Information: The expected number of accidents occurring on a highway each day is 2 i.e., λ=2…

Q: The Rockwell Electronics Corporation retains a service crew to repair machine breakdowns that occur…

A: Given, Machine break down rate = arrival rate = λ = 4 Service rate, μ = 9

Q: The mean waiting time to get servedafter walking into a bakery is 30 seconds. Assume that an…

A: Given that μ=30 then

Q: Determine the cumulative distribution function for the exponential distribution.

A: The distribution of the variable is exponential distribution

Q: What are Exponential and Erlang Distributions?

A: The sum of n of exponential (β) random variables is a gamma(n, β) random variable. If the…

Q: The digestion time in hours of a fixed amount of food is exponentially distributed with a mean of 1…

A: The exponential density function is,

Q: An exponential distribution is special case of the gamma distrbution ylgn İhi

A: By definition of probability theory and statistics,  we solve this.

Q: 4. Derive that mean and variance of the Po(A) using exponential families.

A:

Q: A large room contains 8 light bulbs. Any one of the light bulbs can blow independently of the other…

A:

Q: Many electronics follow a failure rate described by an exponential probability density function…

A: See the handwritten solution

Q: The mean waiting time to get servedafter walking into a bakery is 30 seconds. Assume that an…

A:

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

A: Given: Let X be a random variable representing the time in hours from start of the interval until…

Q: The time between failures of our video streaming service follows an exponential distribution with a…

A:

Q: In a well known supermarket, the length of time to empty the stocks follows an exponential…

A: Let, X=  the length of time to empty the stocks Given that, X follows an exponential distribution.…

Q: The lifetime of a computer component follows an exponential distribution with a mean lifetime of 3.3…

A: Obtain the probability that the component breaks down in less than 6.4 years.   The probability that…

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

A:

Q: In continuous Probability Distributions such as Uniform, Normal, and Exponential is the range of x…

A: The graph of a continuous probability distribution is a curve. Probability is represented by area…

Q: Let X luck variable show μ = 1, σ2 = 1 parameter lognormal distribution. So what is the probability…

A: Given: X has lognormal distribution with μ = 1 and σ2 = 1. Therefore, Y=lnX has normal distribution.…

Q: Suppose that the length of long distance phone calls, mea- sured in minutes, is known to have an…

A: Given; μ=15 min Let X be a random variable and follows exponential distribution with mean μ. We can…

Q: The life (in months) of a certain computer component is exponentially distributed with mean 5. Find…

A:

Q: The time to next failure of a machine has an exponential distribution. Probability that the time to…

A: It is given that, P(X<10)=0.1 Let X be the next failure of a machine and it is follow the…

Q: The life times, Y in years of a certain brand of low-grade lightbulbs follow an exponential…

A: Please see below

Q: All probability distributions whose variable extent depends on the parameters do not belong to the…

A: #: All the probability distribution whose variable extent depends on parameter do not belongs to…

Q: The time between process problems in a manufacturing line is exponentially distributed with a mean…

A:

Q: The flow in a river can be modeled as a log-normal distribution. From the data, it was estimated…

A: Let X be the flow in a river which follows log normal distribution.It is provided that, P(X >…

Q: by the exponential distribution with parameter 4. What is the probability that a major repair occurs…

A: Let x be the random variable that indicates time before a major repair of a washing machine which…

Q: Your website receives one hit every 11 minutes on average. The times between successive hits follow…

A:

Q: An insurer insures a risk for which individual claim sizes (in £000s) have mean 500 and standard…

A: Given ,  E(x) = 500 standard deviation = 250 Var(x) =2502

Q: The life times, Y in years of a certain brand of low-grade lightbulbs follow an exponential…

A:

Q: nager of a gas station has observed that the times required by drivers to fill 's tank and pay are…

A: Given : u = 6 minutes

Q: The life times, Y in years of a certain brand of low-grade lightbulbs follow an exponential…

A: The probability mass function and CDF of exponential is given as  f(x)=λe-λx         x≥0F(X)=1-e-λx…

Q: A/The time intervals between successive barges passing a certain point on a busy waterway have an…

A:

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

A:

Q: A microprocessor that controls the tuner in color TVs fails completely at random (that is, according…

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

Q: A test engineer discovered that the cumulative distribution function of the lifetime of an equipment…

A: Solution: 5. Let X be the lifetime of an equipment (in years). From the given information, the…

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

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

Q: The time between failures of our video streaming service follows an exponential distribution with a…

A:

Q: The time intervals between cars that successively pass a toll booth have an exponential distribution…

A: Exponential distribution is the type of continuous distribution. It has only one parameter and it is…

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

A:

Q: The distance between consecutive flaws on a roll of sheet aluminum is exponentially distributed with…

A: a. Find the mean number of flaws per meter. The distance between consecutive flaws on a roll of…