North South University BUS172 Statistics Assignment PDF

NORTH SOUTH UNIVERSITY Center of Excellence in higher Education The first private university in Bangladesh School of Business Department of Management...

NORTH SOUTH UNIVERSITY Center of Excellence in higher Education The first private university in Bangladesh School of Business Department of Management Course BUS172: Introduction to Statistics Assignment Problems Problem 1: Write down the formula for the binomial probability distribution with necessary explanation and its mean and variance with their inter-relationship. Problem 2: A manager of a computer store knows that 3% of PC sold out returned to his store for repair within one year. Fifteen of these PCs, whose characteristic can be assumed to be independent of each other, are sold out. (a) What is the probability that none of these PCs has returned for repair? (b) What is the probability that at least one of these PCs have returned for repair? (c) Find the mean number of PCs returned for repair and also find its variance. Problem 3: A production manager knows that 6% of components produced by the manufacturing process have some defect. Ten of these components whose characteristic can be assumed to be independent of each other, are examined. (a) What is the probability that none of these components has a defect? (b) What is the probability that one of these components has a defect? (c) What is the probability that at least two of these components have a defect? (d) Find the mean number of defective items and also find its variance. Problem 4: Write down the formula for the Poisson probability distribution with necessary explanation and its mean and variance with their inter-relationship. Problem 5: Data from national statistics indicate that there are 14 accidents in Aricha road in the last 2 years. (a) What is the probability that there is no accident in a given month? (b) What is the probability that at best 2 accidents in a given month? (c) What is probability that 3 or more accidents in a given month? Problem 6: Andrew Whittaker, computer center manager, reports that his computer system experienced three component failures during the past 80 days. (a) What is the probability of no failures in a given day? (b) What is the probability of one or more component failures in a given day? ……………….......................... Page 1 of 1