Question

x 0 5 10 15 20 P(x) 0.03 0.09 0.19 0.32 0.37 x 1 2 3...

    x

    0

    5

    10

    15

    20

    P(x)

    0.03

    0.09

    0.19

    0.32

    0.37

      x

      1

      2

      3

      4

      5

      P(x)

      1/20

      1/10

      2/5

      1/5

      1/25

      1. Determine whether the random variable x is discrete or continuous. Explain your reasoning.
      1. Let x represent the length (in minutes) of a movie.
      2. Let x represent the number of movies playing in a theater.
      Math   Statistics-And-Probability   
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      Homework Answers

      Answer #1

      a) X represent the length of movie. The lenght movie is any continues value.

      For ex 2.3 hours, 3.56 hours, 2.34 hours

      That is it is any continues value.

      Therefore, X is continues random variable.

      b) X represent the no of movie playing in the theatre.

      The no of movies play in theatre can take any discrete value that is 1 movie, 5 moview, 10 movies. We can not say 2.5 movies.

      Therefore x takes only discrete values.

      X is discrete random variable.

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