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Artist 52 [7]
3 years ago
9

In deciding upon the appropriate premium to charge, insurance companies sometimes use the exponential principle, defined as foll

ows. With X as the random amount that it will have to pay in claims, the premium charged by the insurance company is P = 1/a ln(E(e aX )) where a is some specified positive constant. Find P when X is exponential random variable with parameter lambda, and a = alpha lambda, where 0 < alpha < 1.

Mathematics
1 answer:
adoni [48]3 years ago
7 0

Answer:

Step-by-step explanation:

The application of probability distribution function is employed in solving the question. The detailed analysis and step by step approach is as shown in the attached file.

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6(2x-11)+15=21 is it correct
Alina [70]
I got 6 for my answer, but I'm not 100% sure if I'm right.

6(2x-11)+15=21
12x-66+15=21
12x-51=21
     +51 +51
12x=72
-----  ----
12     12
x=6
5 0
3 years ago
Read 2 more answers
N = 36 = 24.6 s = 12 h0: ? 20 ha: ? &gt; 20 refer to exhibit 9-1. the test statistic is
solong [7]
To find the test statistic or z-score given sample number (n), sample mean (x), standard deviation (σ),  and population mean (μ), we can use

z-score = \frac{x - \mu }{\sigma / \sqrt{n}}

Given that n = 36, x = 24.6, μ = 20, and σ = 12,

z-score = \frac{24.6 - 20}{12 / \sqrt{36}}
z-score = \frac{4.6}{2} = 2.3

From this, we see that the test statistic is 2.3.

Answer: 2.3

6 0
4 years ago
Find the distance between the points (a1, b1) and (a2, b2).
Molodets [167]

Step-by-step explanation:

Let there be point X whose coordinates are (a2,b2) and point Y whose coordinates are (a1,b1)

Using distance formula ,

\sqrt{ ({a}^{2} -  {a}^{1}) + ( {b}^{2} -  {b}^{1}  )  }

where \:  {a}^{2 }  >  {a}^{1}   \: and \: \:   {b}^{2}  >  {b}^{1}

If \:  {a}^{1} > {a}^{2} \: and \: {b}^{1}>{b}^{2}

Distance formula will be

\sqrt{({a}^{1} - {a}^{2}) + ({b}^{1} - {b}^{2})}

8 0
3 years ago
use the point slope formula to write an equation of the line through the point (6,3) that is perpendicular to y=2x-8
Rzqust [24]

Answer:

Step-by-step explanation:

y = 2x - 8. slope here is 2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign.

slope 2 or 2/1.....flip it....1/2....change the sign...-1/2. so our perpendicular line will have a slope of -1/2.

y - y1 = m(x - x1)

slope(m) = -1/2

(6,3)...x1 = 6 and y1 = 3

now we sub

y - 3 = -1/2(x - 6) <==== ur equation

7 0
3 years ago
Which change would make the statement below true? 2.309 rounded to the nearest tenth is 2.4.
elixir [45]

Answer:

2.3

Step-by-step explanation:

2.309 is less the 2.500 so you would need to round down

5 0
3 years ago
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