Distribution of Sample Proportions

Determine the distribution of sample proportions in a given scenario.

Susan really loves the lemon-flavored Fruity Tooty candies, but there always seems to be a lot of grape-flavored candies in each bag. To determine whether this is because grape candies are so popular or because each bag contains fewer lemon candies, Susan randomly picks a Fruity Tooty candy from her bag, records its flavor, and places it back in the bag. Each bag contains a mixture of cherry, grape, apple, lemon, and orange flavors.

Which statement about Susan's distribution of sample proportions is true?

• a.)
• The sample proportion of drawing an orange candy is not a binomial distribution.
• b.)
• The distribution of lemon candy can be modeled as normal if Susan picks candies 10 times.
• c.)
• The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times.
• d.)
• The distribution of the count of picking a cherry candy cannot be modeled as approximately normal if Susan picks candies over 200 times.