Since there is no explanation available for the Data Analysis Quiz #10 questions, I’m asking the forum for help. I think that the answer provided for question 5 of the specified quiz is incorrect. According to their definition, mutually exclusive events cannot occur together simultaneously, implying that the probability is zero for this case. However, as seen in the screenshot, the answer indicates that the probability is less than zero, which seems incorrect. Can someone please clarify on this? I think the answer mentioned is wrong and should be “C” - the two are equal.
Also, the solution to question 10 is said to be 64 / 216 but I think it is supposed to be 216 / 625. Can someone please clarify this?
There are 4 tests, meaning 4 cases, wherein the student passes only once. The student will either pass in the 1st, 2nd, 3rd or 4th attempt, but never in more than one. So 3 out of the 4 tests will be failed & one passed. Since probability of passing is 2/5, the probability of failing is 3/5. Thus, the total probability of passing would be 2/53/53/53/54 = 216/625. Let me know if I’m incorrect.
