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2 years ago

The average number of claims per hour made to an insurance company is 3.

Mathematics

1 answer:

solong [7]2 years ago

5 0

Step-by-step explanation:

We have it that x follows a poisson distribution.

λ is equal to 3

The poisson distribution is given by:

P(x) = e^-λ * λ^X/X!

λ = 3

X = 4

A. The question had already given us the X value to be 4

p(x = 4)

= e^-3 x 3⁴/4!

= e^-3 = 0.001

3⁴= 34

4! = 81

putting all values into p(x=4)

= .001x81/24

= 0.1680

b. for 3 good hours, we will have lamda to be;

3x3 = 9

p(x = 6)

= e^-9 * 9⁶/6!

= 0.0911

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The average weight of a group of seven boys is 56 kg. The individual weights (in kg) of 6 of them are 52,57,55,60,59 and 55. fin

garik1379 [7]

Answer:

54 kg

Step-by-step explanation:

Total weight of 7 boys is 392 kg. And other 6 boys total weight is 338 kg.

So the 7th boy's weight is (392-338)=54 kg

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3 years ago

Read 2 more answers

If you are currently making 6.75 per hour and you’re offered a new job that pays 7.47 per hour how much more would you make per

Nikolay [14]

Answer:

$0.72

Step-by-step explanation:

You are contrasting the numbers, so that means you are subtracting. When you subtract, the larger number goes on top..

7.47 - 6.75 = ?

So then you subtract and get $0.72.

I will make $0.72 more than I was at my current job.

-Mabel <3

6 0

3 years ago

An exit poll in an election is a survey taken of voters just after they have voted. One major use of exit polls has been so that

3241004551 [841]

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

7 0

3 years ago

Please look Below!!!!<br> (No links) Please explain.

Tcecarenko [31]

Answer:

The surface area of the cylinder is about 954.56 square inches.

Step-by-step explanation:

The total surface area of a cylinder is given by the formula:

$SA=2\pi r^2 + 2\pi rh$

Here, we are given that the radius is 8 inches and that the height is 11 inches. We are also using 3.14 for π. So, substitute:

$SA\approx 2(3.14)(8)^2+2(3.14)(8)(11)$

Use a calculator:

$SA\approx 954.56\text{ in}^2$

The surface area of the cylinder is about 954.56 square inches.

6 0

2 years ago

Solve the right triangle. around your answer to the nearest tenth. Please answer ASAP <br> #8

trasher [3.6K]

Answer:

8² + 10² = c²

64 + 100 = c²

164 = c²

c = √164

c = 12.8

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2 years ago