Suppose 21% of trees in a forest have severe leaf damage from air pollution. If 6 trees are selected at random, (a) find the probability that: i. exactly four of the selected trees have severe leaf damage; ii. no more than two of the selected have severe leaf damage; iii. exactly five of the selected trees do

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Chapter1: Combinatorial Analysis
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Suppose 21% of trees in a forest have severe leaf damage from air pollution. If 6 trees are selected at
random,
(a) find the probability that:
i. exactly four of the selected trees have severe leaf damage;

ii. no more than two of the selected have severe leaf damage;
iii. exactly five of the selected trees do not have severe leaf damage;
iv. at least five of the selected trees have severe leaf damage;
v. less than two of the selected trees have severe leaf damage.
(b) find the expected number of trees with severe leaf damage. 

 

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