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2 years ago

Event A: lands on a number greater than 4

Mathematics

2 answers:

castortr0y [4]2 years ago

7 0

Answer:

Your answer is 1/2.

Step-by-step explanation:

So, what you need to do first is look at your graph. The odds of you landing o a number greater than six would be 3/6. The odds of landing on purple is 2/6. The other numbers you didn't use will also be added. The odds of the other numbers are 2/6.

Now make an equation.

3/6 + 2/6 - 2/6

Solve.

5/6 - 2/6 =

Answer.

3/6 or 1/2.

Have a nice day!

Arte-miy333 [17]2 years ago

7 0

Answer:

disjointed

2/3

Step-by-step explanation:

Events A and B are disjointed events.

P(A or B) = 2/3

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

The total claim amount for a health insurance policy follows a distribution with density function 1 ( /1000) ( ) 1000 x fx e− =

gizmo_the_mogwai [7]

Answer:

the approximate probability that the insurance company will have claims exceeding the premiums collected is $\mathbf{P(X>1100n) = 0.158655}$

Step-by-step explanation:

The probability of the density function of the total claim amount for the health insurance policy is given as :

$f_x(x) = \dfrac{1}{1000}e^{\frac{-x}{1000}}, \ x> 0$

Thus, the expected total claim amount $\mu$ = 1000

The variance of the total claim amount $\sigma ^2 = 1000^2$

However; the premium for the policy is set at the expected total claim amount plus 100. i.e (1000+100) = 1100

To determine the approximate probability that the insurance company will have claims exceeding the premiums collected if 100 policies are sold; we have :

P(X > 1100 n )

where n = numbers of premium sold

$P (X> 1100n) = P (\dfrac{X - n \mu}{\sqrt{n \sigma ^2 }}> \dfrac{1100n - n \mu }{\sqrt{n \sigma^2}})$

$P(X>1100n) = P(Z> \dfrac{\sqrt{n}(1100-1000}{1000})$

$P(X>1100n) = P(Z> \dfrac{10*100}{1000})$

$P(X>1100n) = P(Z> 1) \\ \\ P(X>1100n) = 1-P ( Z \leq 1) \\ \\ P(X>1100n) =1- 0.841345$

$\mathbf{P(X>1100n) = 0.158655}$

Therefore: the approximate probability that the insurance company will have claims exceeding the premiums collected is $\mathbf{P(X>1100n) = 0.158655}$

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3 years ago

Choose the inequality that represents the following graph.HELP HELP HELP

Wewaii [24]

Solution:

It should be noted:

If the starting point of the inequality is half shaded, the sign will be < or >.
If the starting point of the inequality is fully shaded, the sign will be ≤ or ≥.

We can tell that:

The inequality will either have an < or > sign.
The blue line tells us that the value of x must be greater than -1.

This clearly tells us that the inequality is x > -1

In conclusion:

Option C is correct.

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2 years ago