Question

Complete the given relative frequency distribution.

Outcome	1	2	3	4	5
Rel. Frequency	0.4		0.1	0.3	0.1

Compute the relative frequencies.

(a)    

P({2, 3, 4})

(b)    

P(E') where E = {3, 4}

Answer 1

the given relative frequency distribution be:-

outcome	relative frequency
1	0.4
2	1-(0.4+0.1+0.3+0.1) = 0.1 [ as we know that sum of relative frequency column is always 1 ]
3	0.1
4	0.3
5	0.1

a). the relative frequency of P(2,3,4) be:-

= relative frequency for outcome 2 +relative frequency for outcome 3 + relative frequency for outcome 4

= 0.1+0.1+0.3

= 0.5

b).the relative frequency of P(E') where E = {3, 4} be:-

= 1 - P({3,4})

= 1 - (0.3+0.1)

= 1-0.4

= 0.6

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