the problem. . [10 pts] The distribution of Bachelor\'s degrees conferred by a u
ID: 3321303 • Letter: T
Question
the problem. . [10 pts] The distribution of Bachelor's degrees conferred by a university is listed in the table. Assume that a student majors in only one subject. What is the probability that a randomly selected student with a Bachelor's degree majored in Philosophy or Business? Round your answer to three decimal places. Physics Philosophy 207 Engineering86 Business Chemistry 222 176 for a statistics class had a mean of 69 with a standard deviation of 3.7. Suppose a student gets a 96 o the calculus test and a 100 on the statistics test. Calculate the z-score for each test. On which test did student perform better relative to the other students in each class? 6. [10 pts] Test scores for a calculus class had a mean of 79 with a standard deviation of 4.5. Test scoresExplanation / Answer
Question 5
Total number of students is 912
probability that a student selected is majored in philosophy = 207/912 = 0.227
probability that a student selected is majored in business = 176/912 = 0.193
As both events are mutually exclusive, there cannot be a student with both subjects as major.
Hence required probability = 0.227 + 0.193 = 0.42
Question 6
z-score for calculus
z = (96 - 79)/4.5 = 3.7778
z-score for statistics test
z = (100 - 69)/3.7 = 8.3784
P(z > 3.7778) = 0.00008
P(z > 8.3784) = 0
In statistics test student performed better because the probability of getting above 100 as per given distribution is 0.
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