Mathematics: The demand for Carolina Industries’ product varies greatly from month to month. Based on the past two years of data, the following probability distribution shows the company’s monthly demand: Unit Demand Probability 300 0.20 400 0.30 500 0.35 600 0.15 c. What are the variance and standard deviation for the number of units demanded?

The demand for Carolina Industries’ product varies

Ответ:

4300224102

30.01.2022

The variance is "9475" and standard deviation is "97.3396112".

Step-by-step explanation:

Let's all make the assumption that X seems to be the discrete uniformly distributed random indicating demand for units, and that f(x) has been the corresponding probability.

The expected value of the monthly demand will be:

⇒ $E(X)=\sum_{x} x\times f(x)$

⇒ $=00\times 0.20+400\times 0.30+500\times 0.35+600\times 0.15$

⇒ $=445 \ units$

The variance will be:

⇒ $Var(X)=E(X^2)-{E(X)}^2$

⇒ $E(X^2)=\sum_{x} x^2\times f(x)$

$=(300)^2\times 0.20+(400)^2\times 0.30+(500)^2\times 0.35+(600)^2\times 0.15$

=207500

⇒ Var(X)=207500 - (445)^2

=9475

The standard deviation will be:

⇒ $X=\sqrt{var(X)}$

=97.3396112

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Ответ:

catchonyet

01.09.2021

Mathematics

$32

Jack has $32 left.

Step-by-step explanation:

3/5= 60%

80x.6= 48

80-48= 32

Jack has $32 left.

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