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Pulsified333
 one year ago
Assume that the class consists of 55 percent freshmen, 5 percent sophomores, 25 percent juniors, and 15 percent seniors. Assume further that 55 percent of the freshmen, 40 percent of the sophomores, 20 percent of the juniors, and 20 percent of the seniors plan to go to medical school. One student is selected at random from the class.
(1) What is the probability that the student plans to go to medical school?
.4125
(2) If the student plans to go to medical school, what is the probability that he is a sophomore?
.02/.4125
Pulsified333
 one year ago
Assume that the class consists of 55 percent freshmen, 5 percent sophomores, 25 percent juniors, and 15 percent seniors. Assume further that 55 percent of the freshmen, 40 percent of the sophomores, 20 percent of the juniors, and 20 percent of the seniors plan to go to medical school. One student is selected at random from the class. (1) What is the probability that the student plans to go to medical school? .4125 (2) If the student plans to go to medical school, what is the probability that he is a sophomore? .02/.4125

This Question is Closed

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0Tell me why the answer I got are wrong please

BAdhi
 one year ago
Best ResponseYou've already chosen the best response.0can you tell us how you tried to solve this problem?

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0using a tree but it obviously did not work

BAdhi
 one year ago
Best ResponseYou've already chosen the best response.0first try to write the given information in a notatio.. freshman = f junior = j sophomore = so senior = s the following are given,\[P(f), P(s), P(so), P(j)\] And also if selecting medicine is m \[P(mj) = 0.2, P(ms) = 0.2\] The question asks for probability of the selected student hopes to do medicine > P(m) use the conditional probability equations to obtain that

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0I did (.55*.55)+(.05*.4)+(.25*.2)+(.2*.2)

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0wait i think i see my mistake

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0wait I have no clue what I did

BAdhi
 one year ago
Best ResponseYou've already chosen the best response.0\[P(m) = P(m\cap s) + P(m \cap j) +\cdots\\ = P(ms)P(s) + P(mj)P(j)+ \cdots\] so i think its same as what youve done the answer should be correct.. does it give a correct answer?

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0yeah when I get the correct answer but it isn't

BAdhi
 one year ago
Best ResponseYou've already chosen the best response.0what does it state as the correct answer?

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0It doesn't. It will only say if its correct when I get the correct answer

BAdhi
 one year ago
Best ResponseYou've already chosen the best response.0I think your answer is correct :(

kropot72
 one year ago
Best ResponseYou've already chosen the best response.2@Pulsified333 "I did (.55*.55)+(.05*.4)+(.25*.2)+(.2*.2)" The last term in brackets should be .......+(.15 * .2). With this correction the sum of the terms is 0.4025 which is the probability that the student plans to go to medical school.

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0its the correct answer but why?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.2The question states that 15% of the class is seniors, and 20% of the seniors plan to go to medical school. The intersection of P(senior) and P(med.schoolsenior) = .15 * .2.

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0oh! that makes sense now :D

kropot72
 one year ago
Best ResponseYou've already chosen the best response.2This is the same way that you have correctly calculated the values of the other three intersections.
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