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Answer :
Final answer:
The probability that a randomly selected tree is neither a southern red oak nor a white oak is 45%. The probability that the selected tree is a white oak or has mistletoe equates to 23.5%.
Explanation:
The probability of a randomly selected tree from this forest being neither a southern red oak nor a white oak is derived from the given percentages of these tree species. We know that 35% of the forest is comprised of southern red oaks and 20% is comprised of white oaks. This totals 55%. Therefore, a tree being neither of these species is 100% - 55% = 45% or 0.45 in decimal form.
For part b, the probability that the selected tree is a white oak or has mistletoe involves the law of total probability. Given the chance of a white oak having mistletoe is 0.925, the probability of any tree having mistletoe is 0.05, and the percentage of white oaks in the forest is 20%, a tree being a white oak or having mistletoe equals the product of these probabilities: (0.20 * 0.925) + 0.05 = 0.235.
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