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...

1. 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.  

(show steps and all non-integer numeric values to