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Anestetic [448]
4 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]4 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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Answer:

Do not forget to round and multiply.

Step-by-step explanation:

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3 years ago
There are 15 rolls of film in a box and 3 are defective. Two rolls are to be selected, one after the other. What is the probabil
dem82 [27]
<h2>Answer:</h2><h2>The probability of selecting a defective roll followed by another defective roll = \frac{1}{35}</h2>

Step-by-step explanation:

The total number of rolls in a box = 15

The number of defective items = 3

Two rolls are to be selected, one after the other. The probability of selecting a defective roll followed by another defective roll = ?

The probability that the first roll is detective = \frac{3}{15}

The probability that the second roll is detective = \frac{2}{14}

Required probability = (\frac{3}{15} ) (\frac{2}{14} )

= \frac{1}{35}

7 0
3 years ago
A rectangle that measures 2 inches by 4 inches.<br> What is the area of the rectangle?
larisa86 [58]

Answer:

8 in

Step-by-step explanation:

because 4 x 2 = 8 inches squared

5 0
3 years ago
Read 2 more answers
Help meh I will give brainiest!! Answer as much as you know.
coldgirl [10]

Here i did this to. Hope it helps! It wont let me download it so I am just gonna put them on here.

Unit 7 Review Guided Notes Page

Question 1

Find the missing side length.

5*5=25+ 7*7=49= 74 so 8.6

Question 2

What is the area of the parallelogram?

18*50=900

Question 3

What is the perimeter of the figure?

If you break the object apart. 7+7+1+1=16

5+5+3+3=16

16+16=32m

Question 4

What are the solutions to the equation?

x^2 – 22 = 14

I found that 6*6=36 – 22=14

I tried a few numbers .

Question 5

What is the area of the figure?

If you break the figure apart. 3*2=6

2*6=12

6+12=18cm

Question 6

What is the area of the trapezoid?

11+3=14*9=126*2=252

Question 7

Hint: 1 Revolution equals the Circumference!

How far does a wheel travel in 2 revolutions if it has a radius of 45 cm?

2*3.14=6.28*45=282.6*2=565.2

Question 8

The diameter of the larger circle is 11 cm.  The diameter of the smaller circle is 7 cm.  What is the area approximate area of the shaded region?

For the smaller one – 7/2= 3.5 *3.5*3.14=38.46

For the bigger one- 5.5*5.5*3.14=94.98

94.98-38.46=56.52

Question 9

What is the approximate area of a circular garden that has a diameter of 12 feet?

A= Pi*r2. 3.14*6^2 =113

6*6=36*3.14= 113.04

Question 10

A 17-foot pole is leaning against a wall.  The bottom of the pole is 8 feet away from the bottom of the wall.  Approximately how high up the wall does the top of the pole reach?

(a^2+b^2=c^2) Its 15 ft

4 0
3 years ago
The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 15 minute
madam [21]

Answer:

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

For this problem, we have that:

Uniformly distributed between 3 minutes and 15 minutes:

So a = 3, b = 15

What is the probability that it takes Isabella more than 11 minutes to wait for the bus?

Either she has to wait 11 or less minutes for the bus, or she has to wait more than 11 minutes. The sum of these probabilities is 1. So

P(X \leq 11) + P(X > 11) = 1

We want P(X > 11). So

P(X > 11) = 1 - P(X \leq 11) = 1 - \frac{11 - 3}{15 - 3} = 0.3333

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

4 0
3 years ago
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