Further Mathematics Paper 2, WASSCE (SC), 2018

Question 12

 

Ten coins were tossed together a number of times. The distribution of the number of heads obtained is given in the following table:


Number of Heads

0

1

2

3

4

5

6

7

8

9

10

Frequency

2

7

23

36

11

61

100

12

8

5

3

Calculate, correct to three decimal places, the:

  1. mean number of heads.
  2. probability of getting an even number of heads.
  3. probability of getting an odd number of heads.

Observation