Theresa really loves orange-flavored Fruity Tooty candies, but there always seems to be a lot of cherry-flavored candies in each bag. To determine whether this is because cherry candies are so popular or because each bag contains fewer orange candies, Theresa 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 Theresa's distribution of sample proportions is true?a.)The count of drawing an orange candy is not a binomial distribution.b.)The sample proportion of cherry candies has a binomial distribution.c.)The distribution of lemon candy can be modeled as normal if Theresa picks candies 12 times.d.)The distribution of the count of picking an apple candy cannot be modeled as approximately normal if Theresa picks candies over 300 times.

A certain manufacturer claims that they produce 50% brown candies. Sam plans to buy a large family size bag of these candies and Kerry plans to buy a small fun size bag. Which bag is more likely to have more than 70% brown candies?Group of answer choicesSam, because there are more candies, so his bag can have more brown candies.Sam, Because there is more variability in the proportion of browns among larger samples.Kerry, because there is more variability in the proportion of browns among smaller samples.Kerry, because most small bags will have more than 50% brown candies.Both have the same chance because they are both random samples.

Lauren has a bag that contains strawberry chews, lemon chews, and peach chews. She performs an experiment. Lauren randomly removes a chew from the bag, records the result, and returns the chew to the bag. Lauren performs the experiment 45 times. The results are shown below:A strawberry chew was selected 13 times.A lemon chew was selected 11 times.A peach chew was selected 21 times.Based on these results, express the probability that the next chew Lauren removes from the bag will be a flavor other than peach as a fraction in simplest form.

Cameron has a bag that contains strawberry chews, apple chews, and watermelon chews. He performs an experiment. Cameron randomly removes a chew from the bag, records the result, and returns the chew to the bag. Cameron performs the experiment 40 times. The results are shown below:A strawberry chew was selected 21 times.A apple chew was selected 7 times.A watermelon chew was selected 12 times.Based on these results, express the probability that the next chew Cameron removes from the bag will be a flavor other than watermelon as a fraction in simplest form.

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line.Although the packages are labeled as 8 ounces,the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces.A sample of 50 packages is selected periodically,and the packaging process is stopped if there is deviation of 0.059 ounce.Complete parts (a)and(b) Determine the test statistic. The test statistic is

Q5) A bag of sweets contains 7 strawberry, 9 blueberry. Joe picks two sweets at random. Find the probability that Joe picks two sweets that are different flavours. Write your answer as a SIMPLIFIED fraction using the / symbol.