Question

Fill in the blanks please

Complete the given relative frequency distribution.
Outcome            1     2     3       4        5
Rel. Frequency 0.1         0.3    0.1     0.4

Compute the relative frequencies.
(a)
P({2, 3, 4})

=

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

=

Answer 1

For a given distribution of data, the sum of the relative frequencies is 1.

Thus, the completed table of relative frequencies is gives as:

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


Part a:

P({2, 3, 4}) = 0.1 + 0.3 + 0.1 = 0.5


Part b:

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

= 1 - P({3, 4}) = 1 - (0.3 + 0.1) = 1 - 0.4 = 0.6