20.03.2023 - 09:04

58% of all statistics classes require a statistical calculator and 25% require the use of a computer that has statistical software. Of the classes that require a statistical calculator, 17% also require the use of a computer. If a statistics course is sel

58% of all statistics classes require a statistical calculator and 25% require the use of a computer that has statistical software. Of the classes that require a statistical calculator, 17% also require the use of a computer. If a statistics course is selected at random find: (round to 4 decimal places where possible)

a. P(Statistical Calculator) =

b. P(Statistical Software) =

c. P(Require a Statistical Calculator and Statistical Software) =

d. P(Require a Statistical Calculator GIVEN Require Statistical Software) =

Answers (1)
  • Chistian
    April 3, 2023 в 00:17

    a. P(Statistical Calculator) = 0.58 This is given in the problem statement. It means that out of all statistics classes, 58% of them require the use of a statistical calculator.

    b. P(Statistical Software) = 0.25 This is also given in the problem statement. It means that out of all statistics classes, 25% of them require the use of a computer that has statistical software.

    c. P(Require a Statistical Calculator and Statistical Software) = 0.17 * 0.58 = 0.0986 This is calculated by multiplying the probability of a class requiring both a calculator and software, which is given as 17% or 0.17, by the probability of a class requiring a statistical calculator, which is 0.58. This represents the probability that a statistics class requires both a statistical calculator and statistical software.

    d. P(Require a Statistical Calculator GIVEN Require Statistical Software) = P(Require a Statistical Calculator and Statistical Software) / P(Statistical Software) = 0.0986 / 0.25 = 0.3944 This is calculated using Bayes' theorem. It represents the probability that a statistics class requires a statistical calculator given that it already requires statistical software. It is found by dividing the probability of a class requiring both a calculator and software, which is 0.0986, by the probability of a class requiring statistical software, which is 0.25. The result is \approx imately 0.3944 when rounded to four decimal places.

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