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satela [25.4K]
2 years ago
10

Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. find the prob

ability of the indicated result. the second marble is white, given that the first marble is blue.
Mathematics
1 answer:
navik [9.2K]2 years ago
8 0
Before I answer the question i am going to start with the blue Marble you would have a 1/8 chance of drawing the blue marble from the box and after that you would have a 3/7 of drawing a white marble because you did not replace the blue marble and I hope this help.
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The Value Remains the Same

Step-by-step explanation:

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A bakery sells rolls in units of a dozen. The demand X (in 1000 units) for rolls has a gamma distribution with parameters α = 3,
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Answer:

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Step-by-step explanation:

From the question we are told that

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    The cost of making a unit on the first day  is  c = $2

    The selling price of a  unit on the first day is  s = $5

    The selling price of a leftover unit on the second day is  v  = $ 1

Generally the profit of a unit on the first day is

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The profit of a unit on the second day is

       p_2 = 1 - 2

=>     p_2 = - \$1

Generally the probability of making profit greater than $ 1 is mathematically represented as

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=>   P(X >  1 ) = Gamma (1 ,3 , 0.5)

Now from the gamma distribution table  we have that

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Generally the probability of making profit less than or  equal to  $ 1 is mathematically represented as

       P(X \le  1 ) = 1 - P(X >  1 )

=>     P(X \le  1 ) = 1 - 0.67668

=>     P(X \le  1 ) = 0.32332    

So  the probability of making  $3  is    P(X >  1 ) =  0.67668

and  the probability of making  -$1  is   P(X \le  1 ) = 0.32332  

Generally the value of profit per day is mathematically represented as

      E(X) =  3 *  P(X >  1 )   +   (-1  *  P(X \le 1 ) )

=>     E(X) =  3 * 0.67668   +   (-1  *  0.32332 )

=>     E(X) =  \$ 1.7067

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