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jarptica [38.1K]
2 years ago
15

12

Mathematics
1 answer:
nikitadnepr [17]2 years ago
6 0

Considering the given discrete probability distribution, it is found that the expected share is of 10%.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

In this problem, the distribution is given by:

  • P(X = 0.05) = 0.2.
  • P(X = 0.1) = 0.6.
  • P(X = 0.15) = 0.2.

Hence the expected value is given by:

E(X) = 0.2 x 0.05 + 0.6 x 0.1 + 0.2 x 0.15 = 0.1 = 10%.

The expected share is of 10%.

More can be learned about the expected value of a discrete distribution at  brainly.com/question/24802582

#SPJ1

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the dimensions of the large cube is 4 by 6 by 3      width height and depth

a) volume of the cube   Vol = area of the base times height  

              area of the base = the width times the depth  

              Volume = Base Depth

                            =  Width x Depth x Height

                            =      4 x 3 x 6

                            =       12 x 6

                Vol      =   72 cm ³

b )  the volume of the smaller cuboid has different dimensions    

             the smaller cube is 2 by 2 by 1      width height and depth

          Volume = Base Depth

                            =  Width x Depth x Heigh

                            =    2 x 2 x 1  

 Vol smaller cuboid    =   4

      How many smaller cubes can be made?

            The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.

  Number of cuboid  =   Volume of the cube  /  Volume of the cuboid

                                  =             72 / 4

                                  =        18

Check this answer by dividing the dimension of the cube by the cuboid

         4 by 6 by 3

         2 by 2 by 1

      (4/2) by (6/2) by (3/1)

        2    by    3   by     3       = 2 x 3 x 3     =    18

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