Assessing the probability values

Reference no: EM1315282

1. Students are the University of New Harmony received 10, 000 course grades last semester. The table below breaks down these grades by which school of the university taught the course.

Consider the three events:

E = the grade comes from an EPS course
C = the grade is below a B
L = the grade comes from a Liberal Arts course

GRADE:

SCHOOL	A	B	Below B	Total
Liberal Arts	2142	1890	2268	6300
EPS (Engineering & Physical Science)	368	432	800	1600
HHS (Health & Human Services)	882	630	588	2100
Total	3392	2952	3656	1000

Find the following probabilities.

a. P (E) =
b. P (C) =
c. P (E or C) =
d. Find the conditional probability that a randomly chosen grade is below a B, given grade came from an EPS course.
e. Are events E and C dependent or independent? Justify the answer.

2. P (A and B) = P (A) * P (B ? A)

a. Three probability statements are given below. They may be always true as written, or they may be true only under certain conditions. If not always true, tell me what condition must in order for the statement to be true as written.

Always true Only true if

b. P (A or B) = P (A) + P (B) - P (A and B)

Always true Only true if

c. P (A^C) = 1 - P (A)

Always true Only true if

Reference no: EM1315282

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