Assignment No 1 Page 01 Buiness Mathematics B.A B.COM Spring 2018- Autumn 2019 AIOU Islamabad

Assignment No 1 Buiness Mathematics B.A B.COM Spring 2018- Autumn 2019 AIOU Islamabad

Q. 1 (a) The Metrology Department has collected the following data for snowfall in Murree during the month of January. (10+10=20)

No of Snowfall
0
1
2
3
4
5
6
7
8
9
More than 9

Probability
0.02
0.04
0.06
0.02
0.05
0.10
0.13
0.20
0.25
0.08
0.05

What is the probability that there will be 3 or more snowfalls this January?
What is the probability that there will be at max 6 snowfalls this January?

(b) Given the card are selected at random, without replacement, from a standard 52-card deck, determine the probability that
i. The first 2 cards are hearts
ii. The first is a spade, the second a club, the third a heart, and the fourth a diamond
iii. 3 aces are selected in a row
iv. No aces are included in the first 4 cards

Q. 2 (a) A police department believes that the number of serious crimes which occur each month can be estimated by the equation (12+8=20)
c=1,200  12.5p
Where c equals the number of serious crimes expected per month and p equals the number of officers assigned to preventive patrol. If c is graphed on the vertical axis
Identify the slope and interpret its meaning
Identify the c intercept and interpret its meaning
Identify the p intercept and interpret its meaning.

          (b) Compute the slope of the line joining the points (0, 0) and (c, d). Also interpret it if c and d are both positive.

Q. 3 (a)   The sample space of an experiment consists of five simple events (12+8=20)
E1, E2, E3, E4 and E5. These events are mutually exclusive. The probabilities of occurrence of these events are
P(E1) = .20, P(E2) = .15, P(E3). 25, P(E4)=.30, P(E5)=.10.

Several compound events can be defined for this experiment. They are:
F= {E1, E2, E3}, G= {E1, E3, E5}, H= {E4, E5}. Determine
P(G) (ii) P(F (ii)  P(G (iii)  P(F (iv) P(F

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