Students are classified by their age and their major area. One student is select

Question

Students are classified by their age and their major area. One student is selected at random. Use the table below to answer the following questions. You do not need to reduce your answers. Find the probability that the randomly selected student is a math major, given that he/she is 22 - 27 years old. A. 70/72 B. 18/72 C. 18/70 D. 18/200 Find the probability that the randomly selected student is a science major OR 21 or younger. A. 27/200 B. 127/200 C. 55/72 D. 100/200 The following probability distribution represents the number of classes students at a local college are taking for the semester. Find the expected number of classes a student from this college would be taking this semester. (A) 3.5 (B) 21 (C) 3.62 (D) 1.03 (E) None of the above The grades on an exam have an average score of 73.4% with a standard deviation of 7.6%. A student asked the professor what his score was on the exam. The professor replied that his score was 1.2 standard deviations below the mean. What was the student's exam score? a) 64.28 b) 65.8 c) 72.2 d) 82.52 e) None of the above

Explanation / Answer

35. C) 18/70

36. (55+72-27)/200 = 100/200 (D)

37. Expected number of classes = sum of (xP(x))

= 1x0.07+2x0.1+3x0.19+4x0.46+5x0.14+6x0.04

= 3.62 (C)

38. Z score = -1.2

So, his score is 73.4 - 1.2x7.6 = 64.28 (a)

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