1. (3 marks) An airline reservation system has a single computer, which breaks down on any given ...
(20 points) Suppose a small local hospital has 3 nurses. On any given day, independent of the number of nurses that are working, either one of the working nurses becomes unavailable with probability 1 - q > 0, or all of the nurses are available with probability q. If a nurse becomes unavailable, with certainty s/he will be available next day (we make the simplifying assumption that if a nurse becomes unavailable, s/he becomes unavailable at the beginning of the...
ALL OF QUESTION 3 Question 3: Two components in a personal computer system have lifetimes (in years) that are distributed with a joint probability density function given by fx.Y(,y e-#(1+v), 0 < r,0 y, 0, otherwise (a) (3 marks). Find fx(x) (b) (3 marks). Find fy(y) (c) (3 marks). Find the probability that the lifetime of at least one com ponent exceeds 2 years. Question 4 Question 3: Two components in a personal computer system have lifetimes (in years) that...
Question 410 marks Consider the nonlinear system ェ=(1-y)2(4-12), ỳ=(1-z)y(y2-4) (0<x<2, o<y<2), which has a single fixed point at (1,1) (a) Show that the following expression for K(x, y) is a constant of motion for this system: K(x, y)- 2 ln(ry) + Inl( 2)(y- 2)]-3In(2)(y+2)]. (b) Use the constant of motion to show that the fixed point is a centre of the nonlinear system.
10 marks Let X~ Poisson(A), which has density 5 marks Find the relative errors when P(O Y 3 2) is approximated by using the standard normal distribution, for λ = 1, 102, 104, 106, respectively (For u 0, the relative error is defined as E-11-aa statistical software to find probability values.) Vapprox/v. You may use R or any 10 marks Let X~ Poisson(A), which has density 5 marks Find the relative errors when P(O Y 3 2) is approximated by...
STATI501-Elementary Biological Statistics I Assignment #1 Winter 2019 Due Friday, Feb 8,2019,at the beginning of the class Instructions: . Use appropriate notations in your answers . Show all steps of your work. Otherwise. part marks will not be given. Write neat and clear (e g. big enough and less cramped up) . Answer the questions in order AND staple their pages in order . Make a photocopy of your assignment for your record. - There are 10 questions and some...
STATI501-Elementary Biological Statistics I Assignment #1 Winter 2019 Due Friday, Feb 8,2019,at the beginning of the class Instructions: . Use appropriate notations in your answers . Show all steps of your work. Otherwise. part marks will not be given. Write neat and clear (e g. big enough and less cramped up) . Answer the questions in order AND staple their pages in order . Make a photocopy of your assignment for your record. - There are 10 questions and some...