19. One college found that during one semester 1,259 students in its four most p

Question

19. One college found that during one semester 1,259 students in its four most popular majors had the following class distributions. Use the table below to determine the probabilities for a randomly selected student in this group first year I sophomore I iunior I senior II row total Business Psycology Nursing Biology 90 95 81 45 311 105 111 91 79 25 421 370 321 147 1259 115 85 63 96 76 14 column total 351 300 297 (a) What is the probability of being a business major? (b) What is the probability of not being a biology major? (c) What is the probability of being a senior and majoring in psychology? (d) What is the probability of being a senior or sophomore? (e) What is the probability of being a senior or biology major? (f) What is the probability of being a junior, given being a nursing major? (g) What is the probability of being a nursing major, given being a junior?

Explanation / Answer

a)P(business major) =421/1259=0.3344

b)P(not biology major)=1-P(biology major) =1-147/1259=0.8832

c)P(senior and major in Psychology) =96/1259=0.0763

d) P(senior or shophomore) =(311+297)/1259=0.4829

e) P(seniopr or biology major) =(297+147-14)/1259=0.3415

f) P(junior |nursing major) =79/321=0.2461

g)

P(nursing major|junior) =79/300=0.2633

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.