Question

Please help me. Much Appreciated Each part of problem mark as either a, b, c

Answer 1

Given:

Total number of people surveyed = 205

a) Percentage of the survey respondents that do not like both hamburgers and burritos.

Number of people that do not like both = 54

To find the percentage of the respondents that do not like both, we have:

`\begin{gathered} \text{ \% that do not like both = }\frac{Number\text{ that }do\text{ not like both}}{\text{Total surveyed}}\ast(100)/(1) \\ \\ \text{ \% that do not like both = }(54)/(205)\ast100\text{ = }26.3\text{ \%} \end{gathered}`

Therefore, the percentage of the survey respondents that do not like both hamburgers and burritos is 26.3%

b) Marginal relative frequency of all customers that like hambugers.

Given:

Number of customers that like hamburgers = 110

To find the marginal relative frequency, we have:

`M=(110)/(250)=0.54=54\text{ \%}`

The marginal relative frequency of all customers that like hambugers is 54%

c) Conditional relative frequencies:

i) Conditional relative frequency that a person likes hamburgers given that the person does not like burritos:

`(110-29)/(135)=(81)/(135)=0.6=60\text{ \%}`

ii) Conditional relative frequency that a person likes burritos, given that the person does not like hamburgers:

`(41)/(41+54)=(41)/(95)=0.43=43\text{ \%}`