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For this series of questions, you will perform probability calculations based on a population of pea plants. Of these, 90 are tall while 30 are

For this series of questions, you will perform probability calculations based on a population of pea plants. Of these, 90 are tall while 30 are short. Of these, two-thirds have smooth peas while one-third have wrinkled peas. (provide all values to the nearest 0.0001) (a) What is the probability of choosing a choosing a random pea plant and it is short? (b) What is the probability of choosing (with replacement) two plants in sequence and choosing a plant with smooth peas and then a tall plant? (c) What is the probability of choosing (with replacement) three plants and all three are tall? (d) What is the probability of choosing (without replacement) three plants and all three are tall? (e) Assuming that these traits are independent, what is the probability of choosing (with replacement) two plants and they are identical (i.e., same height and type of peas)? - - - - - - - -

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