Question

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

Answer 1

Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times

Explanation:

The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.

The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.

hence, option B is correct