Suppose the random variable X has a geometric distribution with p = 0.6. Determine the following probabilities:(a) P(X= 3) =i(b) P(X= 7) = i(c) P(X= 8) =i(d) P(X≤2) =i(e) P(X> 2) =iRound your answers to four decimal places (e.g. 98.7654).

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let the variable Z stand for a standard normally-distributed variable. Find these probabilities a. p (z < 1.76 ) b. p ( -2.05 < z < .66 ) C. p ( z > -1.62 ) Then, find these z values that satisfy the following conditions a. 87.29% of the area under the distribution curve is to the left of it b. 67.72% of the area under the distribiution curve lies to the right of it
Given that X is a random variable having a Poisson(2) distribution, compute the following: (a) P(X = 4) when 1 = 3.5 P(X = 4) = (b) P(X 2) when 2 = 2 P(X > 2) = (d) P(X < 9) when 2 = 4.5 P(X < 9) =
[5P2A] Let Z be a standard normal variable. Find the following probabilities: 3. P (Z > 2.05) = 4. P (-0.34 < Z < 1.10) =
1. Toss a coin twice .Write the probability distribution of the random variable (a)X = 3( Number of Heads - Number of Tails). Then find (1) P( X >0) ; (ii) E(X), Var(X) and S.D (X).
Suppose X has a Poisson distribution witha mean of 4. Determine the following probabilities. Round your answers to four decimal places (e.g. 98.7654). (a) P(X = 2) = i (b) P(Xs 2) - i (c) P(X - 4) - i (d) P(X = 8) - i
Suppose the random variable X has a geometric distribution with p = 0.6. Determine the following probabilities: (a) P(X= 3) =i (b) P(X= 7) = i (c) P(X= 8) =i (d) P(X≤2) =i (e) P(X> 2) =i Round your answers to four decimal places (e.g. 98.7654).
2. If Z is a standard normal variable, find the following probabilities:a) P (Z < - 0.43) =b) P (- 0.43 < Z < 1.28) =c) P (Z > - 0.28) =
Show that E(p) =p where p = , the probability of success for a binomial random variable X. What does this say about the estimator p?
Suppose a random variable x is best described by a uniform probability distribution with a range 0 to 5. Find the value of a that makes the following probability statements true.
Is the following distribution a probability distribution? (x, P(X)) = (-2,1.23); (-1, 0.15) ; (0, -1.20); (1, 0.52); (2, 0.30) There are five ordered pairs: X values and their probabilities for example P(1) = 0.52. X -2 -1 0 1 2 P(X) 1.23 0.15 –1.20 0.52 0.30

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Suppose the random variable X has a geometric distribution with p=0.6. Determine the following probabilities: (a) P(X= 3) = i (b) P(X= 7) = i (c) P(X=8)= i