TEE 2003 Engineering Maths Questions

TEE 2003


Question Description

Help me study for my Mathematics class. I’m stuck and don’t understand.

answer the 3 questions in the attached. Pls bid if you know the answers correctly only else will request for redu

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TE/TEE2003 Advanced Mathematics for Engineers Graded Assignment 2 • • • Answer all the questions and show your working Total marks: 50 Deadline: March 25, 2020 (hardcopy submission in class or softcopy submission online via LumiNUS) Q1 A supermarket has 60 customers, each showing up at the counter for check-out with probability p=0.2 in a given interval. Assume all customers check out independently. (a) Calculate the probability that there is only one customer at the counter during this interval. [5 marks] (b) Using Poisson distribution, find an approximate value for the probability in (a). [5 marks] Q2 Let Y=10X+1, where X~N(0,1). Express your answers using the Q(·) function. (a) Calculate P(Y<10). [5 marks] (b) Calculate P(-5≤Y<5). [5 marks] (c) Calculate P(Y≥10 | Y ≥5). [5 marks] Q3 Let X~fX(x), where 𝑥𝑥 𝑓𝑓𝑋𝑋 (𝑥𝑥) = �2 − 𝑥𝑥 0 (a) Find the CDF of X. [10 marks] 0 ≤ 𝑥𝑥 < 1 1 ≤ 𝑥𝑥 ≤ 2 otherwise (b) Calculate the mean and the variance of X. [10 marks] 1 (c) Let 𝑌𝑌 = 𝑋𝑋. Find the CDF of Y. [5 marks] ...
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Final Answer

Find the attached solution....I am here for any edits/revision

1. There are 60 customers, that may come to supermarket.
a. Considering the binomial probability distribution
Probability of success is 𝑝 = 0.2
Probability of failure is 𝑞 = 1 − 𝑝 = 1 − 0.2 = 0.8
Probability of having exactly one customer in a time...

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Carnegie Mellon University

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