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
Find the number of sides of a regular polygon in which the measure of an interior angle is three times the measure of an exterio
Serhud [2]
The sum of the interior angles of any polygon is given by (n-2)180°, where n is the number of sides.

Also sum of all the exterior angles of any polygon is 360°

Given (n-2)180° = 3(360°)

=> n-2 = 6

=> n = 8.

Hence the number of sides of a polygon is 8
6 0
2 years ago
amid has gained weight he now weighs 88kg which is 10% higher than his normal weight. what is his normal weight?
dybincka [34]

Answer:

88*0.9= 79.2 (since it's 10% higher, multiply by .9 to find out what 90% of 88 is

you also could've done 88*0.1=8.8 and then subtract 8.8 from 88 and get 79.2

either way his normal weight is 79.2kg

5 0
2 years ago
20 POINTS PLEASE HELP ASAP
Brut [27]

Answer:

A. If we consider two right triangles one Δ ABD and Δ BCE, where D(2,100) and E(1,60) points

B. From the graph, it is clear that the initial value of the graph is 60 m and it represents the initial position of the shark i.e. at t = 0 min, the shark was at a depth of 60 m from the water surface.

 

The slope of the graph is 40 means the rate of change of distance from the Ocean surface of the shark with respect to time in minutes will be 40 m per min.

Step-by-step explanation:

6 0
2 years ago
An airplane travels about 1500 km in a straight line between toronto and winnipeg. however, the plane must climb to 10 000 m dur
andre [41]
Hi ky name is ni ole and i xont know the ansewer bye
7 0
3 years ago
How is a tilted rhombus an obtuse angle
AlexFokin [52]

Answer:

Step-by-step explanation:

One of the properties of a rhombus is that the opposite angles are equal. As a rhombus leans over more and more, two of the angles become more obtuse and the other two become more acute.. There are also 4 pairs of parallel lines in a rhombus.

4 0
3 years ago
Other questions:
  • Evaluate the expression 3÷1 1/5+1/2
    11·1 answer
  • The ratio of cars to vans in a parking lot is 1 to 4. If there are 40 cars and vans in the parking lot altogether then how many
    9·1 answer
  • Pls answer this and I will mark it has brainlist
    11·1 answer
  • Please help asap, shehhrhd
    10·1 answer
  • At the beginning of the month, Rachel's Used Car Dealership had 80 cars on
    12·1 answer
  • -2x2-2x+1<br> +(-3x2-x-1)<br> Add the following
    10·1 answer
  • PLS HELP c:
    15·1 answer
  • 4x + 3 &lt; 3 OR 4x + 3 &gt; 19
    7·1 answer
  • Find the term indecent of x in the expansion of (x^2-1/x)^6
    12·1 answer
  • bob has 20 apples, billy has 20 pears, bob gives 4 pears to his little sister, billys uncle gives him 69 bananas. What is the di
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!