Question

Question 2 1/3 pts Let S be the event that a randomly selected college student has taken a statistics course, and C be the event that the student has taken a chemistry course. Suppose P(S) 0.4, P(C) -0.3 and P(Snc) 0.2 Suppose a student is randomly selected. (a) Find the probability that the student has taken Statistics, Chemistry, or both. I Select ] (b) Find the probability that the student has taken neither statistics nor chemistry. I Select ] (c) Find the probability that the student has taken Statistics, but not Chemistry I Select ]

Answer 1

(a)

Desired Probability is,

$P(S \cup C) = P(S) + P(C) - P(S \cap C) = 0.4 + 0.3 - 0.2 = 0.5$ (Ans)

(b)

Desired Probability is,

$P(S \cup C)^c = 1 - P(S \cup C) = 1 - 0.5 = 0.5$ (Ans)

(c)

Desired Probability is,

$P(S) - P(S \cap C) = 0.4 - 0.2 = 0.2$ (Ans)

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