Foundation PN-3 FBMS Quiz 10

1. A die is rolled twice. The probability that the sum of numbers is 7 is:

2. From a standard deck of 52 cards, a card is drawn at random. The probability that it is a king or a heart is:

3. Events A and B are independent with P(A)=0.5, P(B)=0.4. Then P(A ∪ B) is:

4. A bag contains 5 red, 4 blue, and 3 green balls. One ball is drawn at random. The probability that it is red or green is:

5. Two coins are tossed simultaneously. The probability that at least one head appears is:

6. A bar diagram comparing sales of four products in a year shows unequal widths  of  bars.  What  is  the consequence?

7. Which graphical representation is most  appropriate  for  comparing percentage contributions of categories?

8. The cumulative frequency curve can be used to determine:

9. The ogive of a distribution is rising steeply in the middle range and flat at both ends. This indicates:

10. A histogram has unequal class intervals. Which of the following represents the height of the bars correctly?

11. A firm's marginal cost MC = 3x² - 6x + 4. If fixed cost = 20, find the total cost function.

12. If total cost C(x) = 100 + 10x + 0.5x², find the rate of change of average cost when x = 10.

13. For the profit function P(x) = -2x² + 40x - 100, the maximum profit occurs at x =:

14. If the demand function is p = 100 - 2x, find the marginal revenue when x = 20.

15. If the total cost function of producing x units is C = 5x² + 20x + 100, then the marginal cost at x = 10 units is:

16. If one root of 2x² + 3x + k = 0 is double the other, then k equals:

17. The quadratic equation x² - 6x + k = 0 will have real and distinct roots if:

18. If α and β are roots of 3x² - 5x + 2 = 0, then the value of α³ + β³ is:

19. If the quadratic equation 2x² + kx + 8 = 0 has equal roots, then the value of k is:

20. From a set of 7 different books, in how many ways can 3 be selected and arranged on a shelf?

21. How many ways can 6 students be seated in a row if 2 particular students must sit together?

22. From 10 persons, in how many ways can  a  president,  secretary,  and treasurer be chosen?

23. How many different committees of 3 men and 2 women can be formed from 6 men and 5 women?

24. How many 4-digit numbers can be formed using digits 1,2,3,4,5 without repetition?

25. From a group of 8 men and 6 women, a committee of 4 is to be formed such that at least 2 women are included. How many  such  committees  are possible?