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MTH302 Current Final Term Shared by Heer Fall 2013 File 2

My today's Paper:
1. Determine two variable X and Y are correlated or uncorrelated by using the following table (5)

X 0 4
Y 2 2
2.A population consists of four numbers 2, 6, 10, 14. Considering all possible samples of size two which can be drawn with replacement from this population, find
The population mean.
The population standard deviation.

3. Suppose you decide to put  Rs. 12,000 in a savings account that earms 8% interest compounded annually.   How much will you have after 5 years? (3)
4. A dormitory on campus houses 200 students.  120 are male, 50 are upper division students, and 40 are upper division male students.
A student is selected at random. The probability of selecting a lower division student, given the student is a female is: (3)
5. What does this function do?

=CUMIPMT (0.09/12, 9*12, 25000, 1, 9, 0)    (2)M
6. If you toss a die and observe the number of dots that appears on top face then write the events that the even number occur  (2)
7. A random sample of size n is drawn from normal population with mean 6 and standard deviation
       1.2; if n=25,  8 , then what is z?  (3)
8. If X is a normal random variable with mean (m) 100 and standard deviation (σ) is 10,  find P(X<110).     A chart was given there    (5)
9. FC=Rs.3136, VC=Rs.157, S=Rs.185, capacity=320 units

Calculate break even point in terms of rupees and units. (5)
Good Luck !


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