a) Suppose that a university student has to take 8 independent courses in the fi
ID: 3052076 • Letter: A
Question
a) Suppose that a university student has to take 8 independent courses in the final year. The class of honors awarded is based on the results of the final year examination. If a student gets A or above for at least 7 courses, he/she will be awarded a first class honors. Under ordinary circumstances, John will get A or above for at least 7 courses with probability of 0.25. However, with a probability of 0.2, John will be in a low mood during the examination period. Under that low mood case, John will get A or above for each course with probability 0.5. (a) What is the probability that John will get A or above for at least 7 courses given that he is in low mood during the examination period? b) (b) What is the probability that John will achieve a first class honors
Explanation / Answer
A) P(John will get A- or above for at least 7 courses | he is in low mood)
= P(John will get A- or above for 7 courses) + P(John will get A- for above for 8 courses)
= 8x0.57 x0.5 + 0.58
= 0.035
B) P(John will achieve first class honors) = P(A- or above for more than 7 courses)
= P(A- or above for more than 7 courses when he is not in low mood) + P(A- or above for more than 7 courses when he is in low mood)
= 0.8x0.25 + 0.2x0.035
= 0.207
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