A total of 400 adults responded to a survey asking them to name their favorite n

Question

A total of 400 adults responded to a survey asking them to name their favorite national park. The relative frequencies are shown to the right.

var1   var2
Park   Relative_Frequency
Park_A   27
Park_B   17
Park_C   15
Park_D   15
Other   ?
Total   100

a) The percentage of respondents chose the "Other" category is

b) Of the respondents, how many selected Park A.

c) Of the respondents, how many selected either Park C or Park D

d) This is an example of which type of probability?

Subjective probability

Empirical probability

Classical probability

Explanation / Answer

a. The percentage of respondents who chose 'Other' category is as follows:

Percentage: 100-(27+17+15+15)=26 [sum of relative frequencies is 1, and when relative frequencies are multiplied with 100, it converts into relative percentage]

b. The frequency, that is number of respondents who have selected Park A is obtained as follows:

Relative frequency for Park A*Total=0.27*400=108

c. Respondents who have selected Park C is: 0.15*400=60,

Park D is: 0.15*400=60

Probability of respondents who have selected Park C or Park D is as follows:

P(Park C or D)=60/400+60/400 [Applying general addition rule, for any two events, A and B, P(A U B)=P(A)+P(B)]

=0.3

d. This is an example of emperical probability, which is based on experimental results of 400 people surveyed regarding their opinion of favourite national park. Then these results were used for calculating probabilities.

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