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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1.If the cosmic radiation to which a person is exposed while flying by jet across US is a random variable having mean 4.35 mrem and standard deviation 0.59 mrem,find the probabilities that the amount of cosmic radiation to which a person will be exposed on such a flight is (a)Between 4.00 and 5.00 mrem (b)At least 5.50 mrem (c)Less than 4.00 mrem
3.3
Suppose X has a Poisson distribution with a mean of 6. 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
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) =
Suppose that random variable X follows a normal distribution with mean 20 and standard deviation 10. Let Y=10-2X. The probability P(5sY<15) is closest to O 0.2417 0.4995 0.4332 O 0.0279 O 0.1915
Suppose that X has a Weibull distribution with β = 2 and δ = 2400. Determine the following. a. P(X > 5000) = b. For an exponential random variable with the same mean as the Weibull distribution P(X > 5000) =
If X has a binomial distribution, n=5 and p=0.4. Determine the probabilities of X=0. a. -1.2321 b. 0.07776 c. 0.1073741824 d. 0.1534621
How were the answers of 0.0344, 0.4656, 0.1470, and 0.1470 attained?
Suppose that from the past experience a professor knows that the test score of a student taking his final examination is a random variable with mean 61 and a standard deviation 8.5. how many students would have to take the examination to ensure, with probability at least 0.94, that the class average would be within 3 of 61?
Q.6. Use the binomial distribution in which n 6 and p = 0.3 to %3D calculate the following probabilities: (a). X is at most 1. (b). X is at least 2. (c). X is more than 5. (d). X is less than 6.
A sample of n = 20 observations is drawn from a normal population with u = 1100 and o = 180. Find each of the following: A. P(X > 1176) Probability = B. P(X 1063) Probability =

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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 (d) P(X ≤ 2) = i (e) P(X> 2) = i Round your answers to four decimal places (e.g. 98.7654).