Q1. (a) The number of successful projects (x) per day obtained by a small IT firm can be described by the following prob
Posted: Mon Jul 11, 2022 12:50 pm
Q1. (a) The number of successful projects (x) per day obtained by a small IT firm can be described by the following probability distribution function: (i) f(x) = (0.5x − 1, = {0,5 (ii) Find P(X<2). Find the cumulative distribution function. (iii) Determine the mean and variance. (ii) 2<x< 4 otherwise (4 marks) (1 mark) (5 marks) (b) A Gardenia factory produces breads where 2% are broken. The bread is packed into a box of 12 and it selected randomly. (i) Find the probability that the box contains exactly 2 broken breads. (5 marks) Find the probability that there are at least 3 broken breads in the box. (5 marks)