KTU B.Tech S4 Questions And Answers For Probability Distributions,Transforms And Numerical Methods [ PDTM ] Examination May 2017


KTU B.Tech S4 Questions And Answers For Probability Distributions,Transforms And Numerical Methods

KTU B.Tech S4 Questions And Answers For Probability Distributions,Transforms And Numerical Methods [ PDTM ]  Examination May 2017

PART-A (Modules I and II)

1. Given that  f(x) is a probability distribution of a random variable that can take on the values x = 0, 1, 2, 3 and 4, find k. Find the cumulative distribution function. (07)

2. Prove that binomial distribution with parameters n and p can be approximated to Poisson distribution when n is large and p is small with np =  a constant. (07)

3. A random variable has normal distribution with  = 62.4. Find it’s standard deviation if the probability is 0.2 that it will take on a value greater than 79.2 (07)

b.The amount of time that a surveillance camera will run without having to be reset is a random variable having the exponential distribution with the parameter 50 days. Find the probability that such a camera will: (08)

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