Question: In a forest, the probability that a randomly sampled tree is oak is 0.3, pine 0.1, maple 0.4 and 0.2 is the probability that a

In a forest, the probability that a randomly sampled tree is oak is 0.3, pine 0.1, maple 0.4 and 0.2 is the probability that a randomly sampled tree is of any other type. If 8 trees are sampled randomly from a forest:

a)What is the probability that 2 of the 8 trees sampled are oak?

b)What is the probability that at least one of the 8 trees sampled is either an oak or a pine?

c)Let X be a random variable denoting the number of maple trees in the sample of 8. What is the expected value of X? If this value is not a whole number, will you round it up to a whole number?

d) What is the standard deviation of X in part c?

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