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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

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  1. Pulsified333
    • one year ago
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    Tell me why the answer I got are wrong please

  2. Pulsified333
    • one year ago
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    @dan815

  3. BAdhi
    • one year ago
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    can you tell us how you tried to solve this problem?

  4. Pulsified333
    • one year ago
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    using a tree but it obviously did not work

  5. BAdhi
    • one year ago
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    first 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 \[P(m|j) = 0.2, P(m|s) = 0.2\] The question asks for probability of the selected student hopes to do medicine -> P(m) use the conditional probability equations to obtain that

  6. Pulsified333
    • one year ago
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    I did that

  7. Pulsified333
    • one year ago
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    I did (.55*.55)+(.05*.4)+(.25*.2)+(.2*.2)

  8. BAdhi
    • one year ago
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    Is it wrong?

  9. Pulsified333
    • one year ago
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    wait i think i see my mistake

  10. Pulsified333
    • one year ago
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    wait I have no clue what I did

  11. BAdhi
    • one year ago
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    \[P(m) = P(m\cap s) + P(m \cap j) +\cdots\\ = P(m|s)P(s) + P(m|j)P(j)+ \cdots\] so i think its same as what youve done the answer should be correct.. does it give a correct answer?

  12. Pulsified333
    • one year ago
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    yeah when I get the correct answer but it isn't

  13. BAdhi
    • one year ago
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    what does it state as the correct answer?

  14. Pulsified333
    • one year ago
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    It doesn't. It will only say if its correct when I get the correct answer

  15. BAdhi
    • one year ago
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    I think your answer is correct :(

  16. kropot72
    • one year ago
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    @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.

  17. Pulsified333
    • one year ago
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    why (.15*.2)

  18. Pulsified333
    • one year ago
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    @dan815

  19. Pulsified333
    • one year ago
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    its the correct answer but why?

  20. kropot72
    • one year ago
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    The 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.school|senior) = .15 * .2.

  21. Pulsified333
    • one year ago
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    oh! that makes sense now :D

  22. kropot72
    • one year ago
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    This is the same way that you have correctly calculated the values of the other three intersections.

  23. Pulsified333
    • one year ago
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    oh okay

  24. kropot72
    • one year ago
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    You're welcome :)

  25. Pulsified333
    • one year ago
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    thank you

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