SEM.3 STAT THEORY ASSIGNMENT

GLS UNIVERSITY’S

FACULTY BUSINESS ADMINISTRATION (GLSBBA)

THEORY ASSIGNMENT 2019-20

SY BBA: SEMESTER III

SUBJECT CODE: CORE COURSE: 170101302

 STATISTICS FOR BUSINESS DECISIONS

Assignment Topic

Probability

Probability Distributions

PROBABILITY DISTRIBUTIONS

1.	The incidence of occupation disease in an industry is such that the workmen have 10% chance of suffering from it. What is the probability that us of 5 workmen, 3 0r more will contract the disease?
2.	Fit a Binomial distribution to the following data: x: 0 1 2 3 4 5 f: 3 6 10 8 3 2
3.	Fit a Poisson distribution to the following data:  e-0.6 =0.5488 x: 0 1 2 3 4 f: 122 46 23 8 1 (TO BE CONTINUED….)
4.	If 2 per cent of electric bulbs manufactured by a company are known to be defectives, what is the probability that a sample of 150 electric bulbs taken from the production process of that company would contain. 1. Exactly one defective bulb? 2. More than 2 defective bulbs?
5.	The income of 5000 workers is normally distributed with average Rs.8000/- and standard deviation Rs.2000/- then find no of workers whose income is (a) less than 6000 (b) more than 9000 (c) between 7000 and 10000.
6.	In a normal distribution, the percentage of observations less than 40 is 30 and the percentage of observations more than 75 is 45. Find parameters of a normal distribution.

PROBABILITY

1.	Define Probability, Independent Events, Exhaustive events, Equally likely events.
2.	A, B, and C are bidding for a contract. It is believed that A has exactly half the chance that B has, B in turn , is 4/5th as likely as C to win the contract. What is the probability for each to win the contract?
3.	In a certain town, male and female each form 50 per cent of the population. It is known that 20 percent of the males and 5 percent of the females are unemployed. A research student studying the employment situation selects an un employed person at random. What is the probability that the person so selected is (a) male a(b) female?
4.	In a test, an examinee either guesses or copies or knows the answer to a multiple choice question with four choices. The probability that he makes a guess is 1/3 and the probability that he copies the answer is 1/6. The probability that his answer is correct given that he copied is 1/8. Find the probability that he knew the answer to the question given that he correctly answered it
5.	a)  If P(A) =0.5 , P(B)=0.4 and P(A′ ∪ 𝐵𝐵) = 0.7, Find P(A/B) and P(A∪B), where A’ is the compliment of A. State whether A and B are independent. b) If A,B and C are three mutually exclusive events, find P(B) if 1/3P(C)=1/2P(A)=P(B)