1. Find P(X=4) if X has a Poisson distribution such that 3P(X=1) = P(X=2). 2. A...
1. Find P(X=4) if X has a Poisson distribution such that 3P(X=1) = P(X=2).
2. A communication system consists of three components, each of which will, independently function. In each component, there are many parts – where the number of malfunction in these parts follows a has a Poisson distribution with mean 1. The entire system will operate effectively if at least two of its components has no malfunction. What is the probability that this system will be effective?
Homework Answers
Add Answer to:
1. Find P(X=4) if X has a Poisson distribution such that
3P(X=1) = P(X=2).
2. A...
5. A communication system consists of n components each of which will function indepen- dently with...
5. A communication system consists of n components each of which will function indepen- dently with probability p. The total system will operate effectively if at least half of its components function. (a) What is the probability that the total system will operate effectively if n = 3? (b) What is the probability that the total system will operate effectively if n = 5? (c) For what values of p will & 5-component system be more likely to operate effectively...
1) Suppose x has a Poisson probability distribution with mean 4.84. Find standard deviation. 2)Assume that...
1) Suppose x has a Poisson probability distribution with mean 4.84. Find standard deviation. 2)Assume that x has a Poisson probability distribution. Find P(x = 6) when population mean is 1.0. 3)Assume that x has a Poisson probability distribution. Find P(x < 3) when population mean is 4.5
A machine has three components that are identical and they operate independently of each other. The machine will operate as long as any one of three of the components is operating, The lifetime of ea...
A machine has three components that are identical and they operate independently of each other. The machine will operate as long as any one of three of the components is operating, The lifetime of each component follows an exponential distribution with a mean lifetime of 2 years. Determine the probability the machine is still operating after 1.5 years. Suppose the machine in the previous problem requires all three of the components to operate. If the lifetime of each component follows...
Suppose that X 1 has a Poisson distribution with mean 2, X 2has a Poisson distribution...
Suppose that X 1 has a Poisson distribution with mean 2, X 2has a Poisson distribution with mean 3 , X 3 has a Poisson distribution with mean 5 and that X 1 , X 2 and X 3 are independent. Define Y = X 1 + X 2 + X 3. Determine the moment-generating function for Y.
If X follows a Poisson distribution with parameter lemda, such that p(x=2)= 9 ( p (x=4)...
If X follows a Poisson distribution with parameter lemda, such that p(x=2)= 9 ( p (x=4) +10 p(x=6) ). Find ( mean+ 3 standard deviation) and (mean - 3 standard deviation). comment on the result.
Example 1: Electronic components of a certain type have a length life (in hours) X, that...
Example 1: Electronic components of a certain type have a length life (in hours) X, that follows the exponential distribution with probability density given by f(x) = (1/100)e ^ [(− 1/100)x] , x > 0. a. Suppose that 2 such components operate independently and in series in a certain system (that is, the system fails when either component fails). Find the density function for the length of life of the system. b. Suppose that 2 such components operate independently and...
Poisson Distribution Question Problem 2: Let the random variable X be the number of goals scored...
Poisson Distribution Question
Problem 2: Let the random variable X be the number of goals scored in a soccer game, and assume it follows Poisson distribution with parameter λ 2, t 1, i.e. X-Poisson(λ-2, t Recall that the PMF of the Poisson distribution is P(X -x) - 1) e-dt(at)*x-0,1,2,.. x! a) Determine the probability that no goals are scored in the game b) Determine the probability that at least 3 goals are scored in the game. c) Consider the event...
Assume a random variable XX follows a Poisson distribution with a mean μ=3.7μ=3.7. Find P(X≤4) P(X≤4)=
Assume a random variable XX follows a Poisson distribution with a mean μ=3.7μ=3.7. Find P(X≤4) P(X≤4)=
A system consists of five components is connected in series as shown below. -1 42 43...
A system consists of five components is connected in series as shown below. -1 42 43 44 45 As soon as one component fails, the entire system will fail. Assume that the components fail independently of one another. (a) Suppose that each of the first two components have lifetimes that are exponentially distributed with mean 107 weeks, and that each of the last three components have lifetimes that are exponentially distributed with mean 136 weeks. Find the probability that the...
Given that x has a Poisson distribution with μ=1.4, what is the probability that x=1? P(1)≈
Given that x has a Poisson distribution with μ=1.4, what is the probability that x=1? P(1)≈
5. A communication system consists of n components each of which will function indepen- dently with probability p. The total system will operate effectively if at least half of its components function. (a) What is the probability that the total system will operate effectively if n = 3? (b) What is the probability that the total system will operate effectively if n = 5? (c) For what values of p will & 5-component system be more likely to operate effectively...
A machine has three components that are identical and they operate independently of each other. The machine will operate as long as any one of three of the components is operating, The lifetime of each component follows an exponential distribution with a mean lifetime of 2 years. Determine the probability the machine is still operating after 1.5 years. Suppose the machine in the previous problem requires all three of the components to operate. If the lifetime of each component follows...
Poisson Distribution Question
Problem 2: Let the random variable X be the number of goals scored in a soccer game, and assume it follows Poisson distribution with parameter λ 2, t 1, i.e. X-Poisson(λ-2, t Recall that the PMF of the Poisson distribution is P(X -x) - 1) e-dt(at)*x-0,1,2,.. x! a) Determine the probability that no goals are scored in the game b) Determine the probability that at least 3 goals are scored in the game. c) Consider the event...
A system consists of five components is connected in series as shown below. -1 42 43 44 45 As soon as one component fails, the entire system will fail. Assume that the components fail independently of one another. (a) Suppose that each of the first two components have lifetimes that are exponentially distributed with mean 107 weeks, and that each of the last three components have lifetimes that are exponentially distributed with mean 136 weeks. Find the probability that the...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago