Question

Statistics Canada found that English is the mother tongue of 62.6% of the residents in the Greater Toronto Area (GTA). A small survey of 8 residents in one area of the GTA is taken and the table below describes the probability distribution for the number of residents (among the 8 randomly selected residents) whose mother tongue is English

Determine whether a probability distribution is given. If a probability distribution is not described, identify the requirement that is not satisfied. If a probability distribution is described, find its mean, variance, and standard deviation.

x	0	1	2	3	4	5
P(X)	0	0.002	0.012	0.053	0.147	0.261

Answer 1

Solution :

x	P(x)
0	0
1	0.002
2	0.012
3	0.053
4	0.147
5	0.261
Sum	0.475

The sum of the probability is not equal to 1 .

A probability distribution is not described so we can't fine mean ,variance and  sd .