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21st March 2013, 02:09 PM
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| BITS WILP old question papers
Please suggest me BITS WILP old question papers BITS Pilani offers degree programmes through Work Integrated Learning Programmes (WILP). Here I am attaching PDF file that have question paper of WILP old question papers. Some questions are as following: 1. (a) A construction company employs 2 sales engineers. Engineer 1 does the work in estimating cost for 70% of jobs bid by the company. Engineer 2 does the work for 30% of jobs bid by the company. It is known that the error rate for engineer 1 is such that 0.02 is the probability of an error when he does the work, whereas the probability of an error in the work of engineer 2 is 0.04. Suppose a bid arrives and a serious error occurs in estimating cost. Decide which engineer most likely submitted the bid based on respective probabilities. Justify your answer. [8] (b) Suppose that, on average, 1 person in 1000 makes a numerical error in preparing his or her income tax return. If 10,000 forms are selected at random and examined, find the probability that at most 2 of the forms contain an error. [7] 2. (a) Let be a gamma random variable with parameters . Then using definition, find and hence find . [4+4+1] (b) A chemical reaction is run in which the usual yield is . A new process has been devised that should improve the yield. Proponents of new process claim that it produces a better yield than the old one more than of time. The new process is tested times. Let denote the number of trials in which yield exceeds and be the probability of an increased yield. (i) Which distribution does follow? (ii) Let the claim be accepted if . What is the probability that claim is accepted if is really only ? (use normal approximation).   Last edited by sumit; 8th February 2020 at 06:44 PM. |
