Question

Over the last five semesters the following table shows the number of students who received each grade for two 9:00 AM English classes taught by different professors. Use Excel: Relative Frequency.

Grade	Professor 1	Professor 2
A	56	37
B	78	83
C	73	89
D	29	25
F	11	13
Total	247	247

You are most likely to pass with a grade of C or higher from                        [ Select ] ["either professor", "Professor 1", "Professor 2"] and/or more likely to make honor roll with grade of B or higher from                        [ Select ] ["Professor 1", "Professor 2", "either professor"] .

Answer 1

Probability of getting Grade C or more

= ( Score for Grade C + Score for Grade B + Score for Grade A ) / Total

Therefore,

Probability of getting grad C or more from professor 1 = ( 73 + 78 + 56 ) / 247 = 207/247 = 0.838

Probability of getting grade C or more from professor 2 = ( 89 + 83 + 37 ) /247 = 209 / 247 = 0.846

Since probability is higher for Professor 2 , likelihood of passing with grade C or higher is more for professor 2

YOU ARE MOST LIKELY TO PASS WITH GRADE C OR HIGHER FROMPROFESSOR 2

Probability of getting grade B or higher

= ( Score of Grade B + Score of Grade A )/ Total

Therefore ,

Probability of getting grade B or higher from professor 1 = ( 78 + 56 ) / 247 = 134/247 = 0.542

Probability of getting grade B or higher from professor 2 = ( 83 + 37 ) / 247 = 120/247 = 0.485

Since probability is higher for professor 1 , likelihood to make honor roll with Grade B or higher is from professor 1

YOU ARE MORE LIKELY TO MAKE HONOR ROLL WITH GRADE B OR HIGHER FROM PROFESSOR 1