1. a) Frequency distribution:
b) Histogram:
c) Five point summary:
Minimum: 20
Q1: (n+1)/4 th value = 7th value = 44
Median : (n+1)/2 th value = (27+1)/2 = 14th value = 50
Q3: 3(n+1)/4 th value = 21 st value = 57
Maximum:90
d) Box and whiskers plot:
2. Probability of a biology major = 70/190 = 0.3684
Probability of a biology major or an A-student = (70+50-20)/190 = 100/190 = 0.5263
Probability of a nursing major and a B-student = 30/190 = 0.1579
Probability of a nursing major or a biology major = (50+70)/190 = 120/190 = 0.6316
Probability of a math major and a biology major = 0/190 = 0
Probability of a accounting major given that they are an A-student = P(Account major and A-student)/P(A-student)
= (10/190) / (50/190) = 10/50 = 0.20
Probability of a B-student given that they are a math major = P(B-student and math major) / P(Math major)
= (10/190) / (30/190) = 10/30 = 0.333
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