Refer to Exercise 4.52, which contains information on a July 21, 2009 www.HuffingtonPost.com survey that asked people to choose their favorite junk food from a list of choices. The following table contains results classified by gender.

a. Suppose that one person is selected at random from this sample of 8002 respondents. Find the following probabilities.
i. Probability of the intersection of events female and ice cream.
ii. Probability of the intersection of events male and pizza.
b. Mention at least four other joint probabilities you can calculate for this table and then find their probabilities. You may draw a tree diagram to find these probabilities.

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Favorite Junk Food Chocolate Sugary candy Ice cream Fast food Cookies Chips Cake Pizza Female 1518 218 685 312 431 458 387 792 Male 531 127 586 463 219 649 103 523