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2 answers:
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Answer:
(a) The probability that a randomly selected adult is either overweight or obese is 0.569.
(b) The probability that a randomly selected adult is neither overweight nor obese is 0.431.
Step-by-step explanation:
Let <em>A</em> = a person is over weight and <em>B</em> = a person is obese.
The information provided is:
An adult is considered overweight if the BMI ≥ 25 but BMI < 30.
An obese adult will have a BMI ≥ 30.
According to the range of BMI the events A and B are independent.
P (A) = 0.331 and P (B) = 0.357.
(a)
Compute the probability that a randomly selected adult is either overweight or obese as follows:
P (A ∪ B) = P (A) + P (B) - P (A ∩ B)
= P (A) + P (B) - P (A)×P (B)
Thus, the probability that a randomly selected adult is either overweight or obese is 0.569.
(b)
Compute the probability that a randomly selected adult is neither overweight nor obese as follows:
Thus, the probability that a randomly selected adult is neither overweight nor obese is 0.431.
It is given in the question that
For th first inequality, we divide both sides by 2, and for second, we subtract 3 to both sides, that is
So the required inequality is
Correct option is B