Q 1(a) If X and Y are two independent normal random variables with mean O and deviation of 2 Prove (by using the convolution of density functions) that Z X + Y is also a normal random variable, Also, find the mean and standard deviation of Z.
(b) In a group of 10 people, their are 4 girls and 6 boys. If a sample of 3 people is chosen at random. Find the expected number of boys chosen?
Q 2 The time (in hours) to repair a machine A is exponentially distributed random variable X with mean ¡ and the time (in hours) to repair a machine B is eponentia]ly distributed random variable Y ith mean 1/2, Find (a) Probability density function of Z = X-Y (b) Find the probability that repair time for machine A is at most 3 hours more than the repair time for machine B.
CS 340 Milestone One Guidelines and Rubric Overview: For this assignment, you will implement the fundamental operations of create, read, update,
Retail Transaction Programming Project Project Requirements: Develop a program to emulate a purchase transaction at a retail store. This
7COM1028 Secure Systems Programming Referral Coursework: Secure
Create a GUI program that:Accepts the following from a user:Item NameItem QuantityItem PriceAllows the user to create a file to store the sales receip
CS 340 Final Project Guidelines and Rubric Overview The final project will encompass developing a web service using a software stack and impleme