(Department of Mathematics and Statistics)
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Course: Business Mathematics (1429) Semester: Spring, 2012
Level: BA, B.Com, BBA Total Marks: 100
ASSIGNMENT No. 1
(Units 1–4)
Note: All questions carry equal marks.
Q.1 (a) In a game show, the contestant is shown 10 boxes, 3 of which contain prizes. If a contestant is allowed to select any three boxes then what is the probability that i) The contestant wins all the three prizes. ii) Only one selected box contains prize.
(b) Explain the rolling of a fair die and then flipping of a fair coin with the help of tree diagram.
Q.2 (a) How can we differentiate between continuous and discrete random variables. Explain with the help of examples.
(b) Let X be a random variable having normal distribution with mean 48 and standard deviation 10. Then find [pic].
Q.3 (a) Compute the mean, median, mode and standard deviation for the following discrete probability distribution.
|Value of X |20 |30 |40 |50 |60 |
|Frequency |8 |12 |10 |12 |8 |
(b) Discuss any one continuous probability distribution.
Q.4 (a) Solve the quadratic equation. [pic] by two different methods.
(b) Find the solution set for the following inequality [pic]
Q.5 (a) The value of personal computer is decreasing linearly over time. Two points indicate its price at two different times:
After one year Price= Rs. 45,000
After two years Price= Rs. 40,000
i) Determine a linear equation