SOLUTION: The probability that the student enrolls in a math class is 0.4 and the probability that he enrolls in a science class is 0.8. The probability that he enrolls in a math class given

Question 1176394: The probability that the student enrolls in a math class is 0.4 and the probability that he enrolls in a science class is 0.8. The probability that he enrolls in a math class given that he enrolls in science class is 0.4. Let: M = math class, S = science class, M|S = math given science.
a. What is the probability P(M OR S) ?
Round your answer to the nearest hundredth.
b. Are M and S independent?
c. Are M and S mutually exclusive?

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!


Hi
Question States:
  (M∩S) = P (M∩S)/P(S) = P(M∩S)/.8 = .4  ⇒ P(M∩S) = .32
 
a)  P(M 0r S) = (.4) + (.8) - (.32)  = .88

b) Are M and S independent?  NO,    P(M ∩ S) ≠  P(M)P(S)

c. Are M and S mutually exclusive? NO,   (M 0r S) ≠ (.4) + (.8)
 
Wish You the Best in your Studies.

RELATED QUESTIONS
The probability that the student enrolls in a math class is 0.5 and the probability that... (answered by ewatrrr)

The probability that a person passes organic chemistry the first time he enrolls is 0.8.... (answered by oscargut)

In a school 70 percent have math class 65 percent have science class and 45 percent have... (answered by Theo)

: In a college 25% of students have failed their Math 15% failed Chemistry and 10%... (answered by ikleyn)

In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking... (answered by Edwin McCravy)

in a class of 24 students 19 take social studies, 22 take math and all take either social (answered by scott8148)

i need your help solving this question its not an equation Of the... (answered by ewatrrr)

In a class of 151 students, 98 are taking math (M), 79 are taking science (S), and 54 are (answered by greenestamps)

Sarah is deciding which courses she wants to take in her next college semester. The... (answered by ikleyn)