Suppose the random variable X has a geometric distribution with p = 0.7. Determine the following probabilities:(a) P(X= 2) = i(b) P(X= 7) =i(c) P(X = 8) =(d) P(X≤2)(e) P(X > 2) = iRound your answers to four decimal places (e.g. 98.7654).i= i

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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) =
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?
2. The following probabilities are given for a certain life: 10P75 = 0.55, 20 P60 = 0.35, and = 0.65 15P 60 Evaluate (i) the probability that the life aged 60 will die between ages 75 and 85. (i the probability that the life aged 60 will die within age 80.
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.
For item 15 and 16, refer to table below Test Result in Mathematics Frequency Score (X) 85-89 80-84 75-79 70-74 65-69 60-64 3 9 67736 8 15. How many students got scores less than 74.5? O A. 24 OB. 18 O C. 10 OD. 3 Cumulative Frequency 36 33 24 18 10 3
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 = 0.7. Determine the following probabilities: (a) P(X= 2) = 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).