Question

1. A survey of 800 KCC students compares their gender and GPA. Here are the results:

	GPA under 2.5	GPA 2.5 - 3.5	GPA over 3.5
Male	80	180	60
Female	100	270	110

      Find these probabilities:

1. P (Male)
2. P (Male and GPA under 2.5)
3. P (Male or GPA under 2.5)
4. P (Female / GPA over 3.5)
5. P (GPA over 3.5 / Femal
6. P (GPA at least 2.5 / Male)
7. P (Male / Female)
8. Are gender and GPA dependent? Explain your answer briefly.

2. A social club contains 7 male and 8 female members. A committee of three members is to be chosen randomly.

Find these probabilities:

1. Only the first person chosen is a male
2. P (second is a male / first is a female)
3. All are males
4. All are females
5. At least one member is a female

Answer 1

APA under 2.5 APA 2.5-3.5 GPA over 3.5 Total Questions 60 Male 1320 180 BO 110 400 Female 270 100 450 170 200 Total 100 0..40 (a) P(Male) - 320 Auswer 800 0.10 (6) P(Male and GPA under 2.5) - 00 Auswer 800 (c) P(Male of GP A Under 2.5) - P (Male) + Prapa under 2.5) – Plmale and a PA under 2.5) 180 320 800 + 420 800 0.525 Auswer (1) P(Female) a PA over 3.5)= P(Female and GPA over 315) PrapA over 315) TO 80 D ) =) 170 800 Answer