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The owner of a plant nursery wrote down the number of roses on each bush. Number of roses Number of bushes 0 4 38 4 73 2 X is the number of roses that a randomly chosen bush has. What is the expected value of X? Write your answer as a decimal.

Respuesta :

Answer:

44.4

Explanation:

[tex]\begin{gathered} \text{The total number of bushes }=4+4+2 \\ =10 \end{gathered}[/tex]

Therefore, the expected number of roses is:

[tex]\begin{gathered} \text{Expected Number}=\sum XP(X) \\ =(0\times\frac{4}{10})+(38\times\frac{4}{10})+(73\times\frac{4}{10}) \\ =0+15.2+29.2 \\ =44.4 \end{gathered}[/tex]

The expected value of X is 44.4.

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