Simplify (4.5)(−9)(−1.8).

An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the

lora16 [44]

Answer:

Expected benefit under this policy = $ 2694

Step-by-step explanation:

Given - An insurance policy on an electrical device pays a benefit of

4000 if the device fails during the first year. The amount of the

benefit decreases by 1000 each successive year until it reaches 0.

If the device has not failed by the beginning of any given year, the

probability of failure during that year is 0.4.

To find - What is the expected benefit under this policy ?

Proof -

Let us suppose that,

The benefit = y

Given that, the probability of failure during that year is 0.4

⇒Probability of non-failure = 1 - 0.4 = 0.6

Now,

If the device fail in second year , then

Probability = 0.6×0.4

If the device fail in third year, then

Probability = 0.6×0.6×0.4 = 0.6² × 0.4

Going on like this , we get

If the device is failed in n year, then

Probability = 0.6ⁿ⁻¹ × 0.4

Now,

The probability distribution is-

Benefit , x 4000 3000 2000 1000 0

P(x) 0.4 0.6×0.4 0.6² × 0.4 0.6³ × 0.4 1 - 0.8704

(0.4) (0.24) (0.144) (0.0864) (0.1296)

At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704

Now,

We know that,

Expected value ,

E(x) = ∑x p(x)

= 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)

= 1600 + 720 + 288 + 86.4 + 0

= 2694.4

⇒E(x) = 2694.4 ≈ 2694

∴ we get

Expected benefit under this policy = $ 2694

5 0

2 years ago

2/9 multiplied by 9/5

r-ruslan [8.4K]

Answer:

2/5

Step-by-step explanation:

simplify by cross multiplying

7 0

2 years ago

Read 2 more answers

Mr Diaz decreased the speed of his car by 30 miles per hour over a period of 10 seconds. What is the average change in the speed

Allisa [31]

Divide 30 by 10. 30mph/10seconds = 3mph/seconds

4 0

3 years ago

22. The measures of the angles of ADEF are in the ratio 2:4:4. What are the

denis23 [38]

The measures of the angles of Δ DEF are 36° , 72° , 72°

Step-by-step explanation:

The sum of the measures of the interior angles in any triangle is 180°

In Δ DEF

The ratio between the measures of its interior angles is 2 : 4 : 4

To find the measure of each angle

1. Find the sum of the ratio between the measures of its angles

2. Divide 180° by the sum of the ratio

3. Multiply the quotient by each ratio

∵ The ratio between the measures of the angles of Δ DEF = 2 : 4 : 4

∴ The sum of the ratio = 2 + 4 + 4 = 10

→ m∠D : m∠E : m∠F : sum of the ratio

→ 2 : 4 : 4 : 10

→ ? : ? : ? : 180°

Divide 180 by 10, then multiply the quotient by the components of

the ratio to find the measure of each angle

∵ m∠D = $(2)\frac{180}{10}$

∴ m∠D = 36°

∵ m∠E = $(4)\frac{180}{10}$

∴ m∠D = 72°

∵ m∠F = $(4)\frac{180}{10}$

∴ m∠F = 72°

The measures of the angles of Δ DEF are 36° , 72° , 72°

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

#LearnwithBrainly

3 0

3 years ago

Im going to give 15 points for this question please answer it

givi [52]

Area of the rectangle plus the area of the parallelogram...

53.3(11.1+6.8)

53.3(17.9)

954.07 in^2

6 0

3 years ago