1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Solve the quadratic equation. Write your solutions in the blanks, starting with the smaller value.
Klio2033 [76]

Answer:

x = 2 Or

x = -2

Step-by-step explanation:

Check attachment

8 0
3 years ago
NEED ASAP BEFORE MARCH 11
sp2606 [1]
C. is the answer......
7 0
3 years ago
Olve for x. Check each step or answer that is correct. 34(x + 4) = 14(x + 8) (A) Distribute 34 on the left side of the equation.
Fantom [35]

Answer:

x = -1.2

Step-by-step explanation:

Th given equation is :

34(x + 4) = 14(x + 8)

Step (A) Distribute 34 on the left side of the equation such as :

34x + 34(4) = 14(x + 8)

34x + 136 = 14(x + 8)

Step (B) Distribute 14 on the right side of the equation such as :

34x + 136 = 14x + 14(8)

34x + 136 = 14x + 112

Step (C) Subtract 14x from each side of the equation.

34x + 136 - 14x = 14x + 112 -14x

20x + 136 = 112

Step (D) Subtract 136 from each side of the equation.

20x + 136 -136 = 112 -136

20x = -24

Step (E) Divide both side by 20

\dfrac{20x}{20}=\dfrac{-24}{20}\\\\x=-1.2

So, the value of x is (-1.2). Hence, steps (D) and (E) are incorrect.

3 0
3 years ago
Find the remainder when f(x) is divided by (x - k).<br><br> f(x) = 4x3 - 6x2 + 3x + 1; k= -2
laila [671]
\frac{f(x)}{(x-k)}
\frac{4x^3-6x^2+3x+1}{(x+2)}
Using Long Division, pic below
Your remainder is -61

8 0
3 years ago
Read 2 more answers
Match the expression to its simplified form.
kirill115 [55]
5^-2=1/5^2=1/25
2^-4=1/2^4=1/16
5^3=5*5*5=125
2^5=2*2*2*2*2=32

Hope this helped :)
8 0
2 years ago
Other questions:
  • If a rectangle has perimeter of 50 cm., what could its dimensions (length and
    11·2 answers
  • Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be th
    9·1 answer
  • Write two fractions that are equivalent to 2/6
    14·2 answers
  • 4.7 is 10 times as much as what number
    5·2 answers
  • **100 POINTS**!!Arrange the steps of a good investment strategy in the correct order.
    11·1 answer
  • A farming council takes a large random survey of US adults in which they ask how many times they ate a
    7·1 answer
  • (giving brainiest)
    13·1 answer
  • I need the answer to f(x)=2x+3
    13·1 answer
  • I have one more question before im done so please help and have a good day.
    9·1 answer
  • Suppose for some value of x the solution to the equation 2.5(y−x)=0 is y = 6. What must be true about x?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!