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Anestetic [448]
3 years ago
15

gasoline wholesale distributor has bulk storage tanks holding a fixed supply. The tanks are filled every Monday. Of interest to

the wholesaler is the proportion of this supply that is sold during the week. Over many weeks, this proportion has been observed to be modeled fairly well by a beta distribution with alpha = 4 and beta = 2. Find the probability that at least 90% of the stock will be sold in a given week? a. 0.07 b. 0.05 c. 0.09 d. 0.06 e. 0.08
Mathematics
1 answer:
Zolol [24]3 years ago
4 0

Answer:

e. 0.08

Step-by-step explanation:

In the question above, a certain quantity of goods was supplied while a specific quantity of goods was sold per week. In a given week, if the number of proportion sold is X, therefore:

f(x) = {Γ(4+2)/Γ(4)Γ(2) x^3 (1-x), 0≤x≤1 ; 0, elsewhere

and

P(X greater than 0.9) =  \int\limits^1_ {0.9} \, 20(x^{3} - x^{4}) dx = 20*{(y^4/4)[1,0.9] - (y^5/5)[1,0.9]} = 20*{(0.25 - 0.164) - (0.20 - 0.118)}  = 20*{0.086 - 0.0819} = 20*0.0041 = 0.082

Therefore the probability of the proportion sold is approximately 0.082

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amid [387]

Answer:

true

Step-by-step explanation:

as negative takeaway a negative is positive so 8-(-4)= 8+4=12

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2 years ago
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if angle 1 and angle 4 are supplementary which theorem leads to the conclusion that a is parallel to s​
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Supplementary Angle's Theorem

Step-by-step explanation:

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3 years ago
Please help me find BD
Tanzania [10]

9514 1404 393

Answer:

  14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally, so you have ...

  (x+4)/8 = (2x+1)/12

  3(x +4) = 2(2x +1) . . . . . . multiply by 24

  3x +12 = 4x +2 . . . . . . . . eliminate parentheses

  10 = x . . . . . . . . . . . subtract (3x+2)

Then BD = x+4 = 10 +4.

The length of BD is 14 units.

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<em>Additional comment</em>

The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.

8 0
2 years ago
Solve for y.<br> -16y - 7y + -5 = 18<br> Y =
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Answer: y = - 1

Step-by-step explanation:

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3 years ago
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Which graph represents the solution set for the inequality -8 &lt; 8 + 4x &lt; 28
valina [46]

Answer:

The solution set for the inequality is the interval (-4, 5)

Step-by-step explanation:

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x ∈ (-4, 5)

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3 years ago
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