Ask Question
18 October, 22:58

Assume that 20 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 80 percent plan to major in science. Of those who did not take calculus in high school, only 30 percent plan to major in science. What is the probability that a randomly selected student plans to major in science?

+2
Answers (1)
  1. 18 October, 23:29
    0
    The probability that a randomly selected student plans to major in science is 40%

    Step-by-step explanation:

    Students who take calculus in high school = 20% or 0.2

    Of these students, 80% or 0.8 plan to major in science.

    That means of these students,

    (100 - 80) = 20% or 0.2 do not plan to major in science

    Students who do not take calculus in high school = (100 - 20) = 80% or 0.8

    Of these students, 30% or 0.3 plan to major in science.

    That means of these students,

    (100 - 30) = 70% or 0.7 do not plan to major in science.

    The probability of students who take calculus in high school and plan to major in science = 0.2 * 0.8

    = 0.16

    = 16%

    The probability of students who take calculus in high school and do not plan to major in science = 0.2 * 0.2

    = 0.04

    = 4%

    The probability of students who do not take calculus in high school and plan to major in science = 0.8 * 0.3

    = 0.24

    = 24%

    The probability of students who do not take calculus in high school and do not plan to major in science

    = 0.8 * 0.7

    = 0.56

    = 56%

    All of these probabilities will give 100% of the population.

    (16+4+24+56) % = 100%

    Therefore, the probability that a randomly selected student plans to major in science = 16% + 24%

    = 40%
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Assume that 20 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 80 percent plan to ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers