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Just the 2 parts that are circled in red please! 6. After a hayride, 40% of farm

ID: 3325281 • Letter: J

Question

Just the 2 parts that are circled in red please!

6. After a hayride, 40% of farm customers buy honeycrisp apples, 35% buy granny smith apples, and 25% buy McIntosh apples. Of those who buy honeycrisp, 30% use them for pie. Of those who buy granny smith, 50% use them for pie and of those buy McIntosh, 60% use them for pie a. If we choose a customer who bought honeycrisp apples, what is the probability he did not use them for pie? b. If we randomly choose a customer, what is the probability that she did not buy Mclntosh apples? What is the probability that a randomly selected customer uses the apples for pie and buys honeycrisp apples? c. d.If these probabilities are correct, are the two eve apples" and "use for pie" statistically independent (SHOW why or why not) and/or mutually exclus P(A) PLB) 7. Consider a random variable X representing the number of free throws made by a Pitt basketball player. Steven makes 75% of his free throws over the course of the season. He has 15 free throw opportunities during tournament play a. To calculate probabilities for this random variable, what must be true? Th heevems are ndu hat is the probability that he will make five shots?

Explanation / Answer

(6d). The approach given in the solution is right i.e. events are independent of P(A|B) = P(A) and P(A|B) = 0.2575 as calculated whichis not equla to P(A) hence events are not independent.

(7b) Prob that Steven will make 5 shots are 5/15 = 1/3 given that he has 15 free throw opportunites during tournament play