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never [62]
3 years ago
15

A company is reviewing tornado damage claims under a farm insurance policy. Let X be the portion of a claim representing damage

to the house and let Y be the portion of the same claim representing damage to the rest of the property. The joint density function of X and Y is Determine the probability that the portion of a claim representing damage to the house is less than 0.2.
Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0

Answer:

Please find the complete question in the attachment.

Step-by-step explanation:

The likelihood of the part of claims that is less than 0.05 for all the houses is calculated as:

P(X < 0.05) = int^{0.05}_{0} int^{1-x}_{0} f(x,y) \ dy\ dx\\\\

                    = \int^{0.05}_{0} \int^{1-x}_{0} 6(1-x-y) \ dy\ dx\\\\= \int^{0.05}_{0} 6((1-x)-x(1-x)-\frac{(1-x)^2}{2}) \ dx\\\\ = \int^{0.05}_{0} 6(1-2x+x^2-0.5-0.5x^2+x) \ dx\\\\= \int^{0.05}_{0} 6(0.5x^2-x+0.5) \ dx\\\\= 6(0.5\times \frac{0.05^3}{3} -\frac{0.05^2}{2}+0.5 \times 0.05 )\\\\ =0.1426\\\\  

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The parents must deposit $9612.75 when their child is born.

Step-by-step explanation:

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6 0
3 years ago
If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in s
Tema [17]

Answer: -\dfrac{2\sqrt{14}}{9}

Step-by-step explanation:

Given

\cos a=\dfrac{5}{9}

a lies in the fourth quadrant

So, sine must be negative in the fourth quadrant

Using identity \sin ^2 x+\cos^2 x=1 to find sine value

\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}

\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}

8 0
3 years ago
What times two equals 148
Ratling [72]
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3 0
3 years ago
Read 2 more answers
A 594-seat theater will sell tickets for $25 and $12 for a particular concert. Let x and y represent the number of tickets that
Gelneren [198K]

Answer:

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Step-by-step explanation:

6 0
3 years ago
2x + 3 =-7 <br> Match equation to its solution
Blizzard [7]

Answer:

X= -5

Step-by-step explanation:

  1. You must move all constants to one side of the equation (one side of the equal sign) and away from 2x. To do so, you must do the inverse operation, which would be subtraction in this case because 3 is a positive number. (Inverse of addition is subtraction, Inverse of subtraction is addition, Inverse of multiplication is division, and inverse of division is multiplication) If you squish a constant and variable together (2x) it means multiplication.
  2. What you must do to one side, you must do to the other. So, since you subtracted 3 from the 3, you must subtract 3 from -7, too(subtracting from a negative is just addition- but you keep the negative sign). Once this is done, your equation will be 2x=-10
  3. Now, you must do the inverse operation to 2x to separate the 2. The inverse operation will be division. So, you divide both sides by 2. 2x divided by 2 will give you x. -10 divided by 2 will give you -5. (When you divided negative and positive numbers, the signs are different, meaning it's negative. If they had the same sign, it would be positive.)
  4. Therefore, your answer is x= -5

Hope I helped! :)

Sorry about the whole dang essay lol

3 0
3 years ago
Read 2 more answers
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