To study whether or not toy advertisements tend to picture children with toys considered typical of their gender, researchers in the early 1990s examined pictures of toys in a number of children's catalogs. For each picture, they recorded whether the child pictured was a boy or girl.(for this exercise, we will ignore ads in which boys and girls appeared together). They also recorded whether the toy pictured was a traditional "male" toy(such as truck or a toy soldier) or traditional "female " toy (such as a doll or a kitchen set) or a "neutral " toy (such as a puzzle or a toy phone). Their results are summarized in the following two way table:

Boy shown Girl show

Traditional "male" toy 59 15

Traditional "female" toy 2 24

Nextra gender toy 36 47

A) calculate the marginal totals for the table.

Boy shown =

Girl shown =

Traditional "male" toy =

Traditional "female " toy=

B)find the following exact proportion. Enter your answers as fractions, use "/" as the division sign.

* proportion of ads depicting boys, that show a boy with a traditional male toy, is ...........

* The proportion of ads depicting boys, that show a boy with traditional female toy is .........

* The proportion of ads depicting boys, that show a boy with neutral toy is ............

C) calculate the conditional distribution of toy types for ads showing girls. Round your data to 3 decimal places

* Traditional "male " toy =

*Traditional "female " toy =

*Neutral gender toy =