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.
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If X follows a Poisson distribution with parameter lemda, such that p(x=2)= 9 ( p (x=4)...
9. Let X be a Poisson random variable with parameter k = 3. (a) P[X 25] (b) Find P[5 S X <10) (c) Find the variance ? 10. Use the related Table to find the following: (here Z represents the standard normal variable) (a) P[Z > 2.57] (b) The point z such that PL-2 SZ sz]=0.8
> 0, that is 7. Let X has a Poisson distribution with parameter P(X = x) = e- Tendte 7. x = 0, 1, 2, .... Find the variance of X.
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
Assume a random variable XX follows a Poisson distribution with a mean μ=3.7μ=3.7. Find P(X≤4) P(X≤4)=
plz solv quickly s 03) (2+2+2+1-7 marks) Let X have a Poisson distribution with parameter i-9. a. What value of a such that P(x2 a) 0.005 b. Compute P(3 <x <10) c. Compute P (x9)
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?
4. A lifetime X of an animal (counted in hours) has a Poisson distribution with parameter 4. The animal hunts during some part of its life, which is described by the following Bernoulli distribution: if X = k, then the ())'(£)*=0,1,2,. . . ,k. number Y of hours spent on hunting has the distribution (3 p.) Find the distribution of Y (7 p.) Suppose that the animal hunted for exactly 12 hours during its life; what is the most probable...
A discrete random variable X follows the geometric distribution with parameter p, written X ∼ Geom(p), if its distribution function is A discrete random variable X follows the geometric distribution with parameter p, written X Geom(p), if its distribution function is 1x(z) = p(1-P)"-1, ze(1, 2, 3, ). The Geometric distribution is used to model the number of flips needed before a coin with probability p of showing Heads actually shows Heads. a) Show that fx(x) is indeed a probability...
The Poisson distribution with parameter λ has the mass function defined by p(x) = λ x e −λ/x! if x is a nonnegative integer (and 0 otherwise). Find the probability it assigns to each of the following sets: a. [0, 2) b. (−∞,1] c. (−∞,1.5] d. (−∞, 2) e. (−∞,2] f. (0.5, ∞) g. {0, 1, 2} Find the CDF of the uniform distribution on (0,1).
Assume a Poisson distribution. a. If a = 2.5, find P(X = 9). c. If a = 0.5, find P(X = 4). b. If 2 = 8.0, find P(X= 5). d. If a = 3.7, find P(X = 7). a. P(X= 9) = (Round to four decimal places as needed.)