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Anvisha [2.4K]
2 years ago
9

I NEED HELP ASAP! Just number 8 please! Thank you

Mathematics
1 answer:
ZanzabumX [31]2 years ago
3 0

Answer:

18

Step-by-step explanation:

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An insurance company has 25,000 automobile policy holders. If the yearly claim of a policy holder is a random variable with mean
telo118 [61]

Answer:

P(T>8300000)=1-P(T

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Data given

n = 25000 represent the automobile policy holders

\mu= 320 represent the population mean

\sigma =540 represent the population standard deviation

Let T the variable that represent the total of interest on this case. We can assume that the random variable for an individual policy holder is given by:

X\sim N(\mu = 540, \sigma=540)

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Solution to the problem

First we need to find the distribution for the random variable T like this:

\bar X = \frac{\sum_{i=1}^n x_i}{n}

And the total T is given by:

T=\sum_{i=1}^n X_i =n \bar X

We can find the expected value, variance and deviation for this random variable like this:

E(T)= n E(\bar X) = n \mu = 25000*320=8000000

Var(T)= Var(n\bar X)= n^2 Var(\bar X) = n^2 \frac{\sigma^2}{n}=n \sigma^2 =25000*(540^2)=7290000000

Sd(T)=\sqrt{7290000000}=85381.497

And we are interested on this probability:

P(T>8300000)

And we can use the Z score formula given by:

Z=\frac{T-E(T)}{\sigma_T}

P(T>8300000)=1-P(T

6 0
3 years ago
Each school bus going on the field trip holds 36 students and for adults there are six Fields buses on the field trip how many p
BartSMP [9]

Answer:

240 people

Step-by-step explanation:

According to the given data,

In each bus,there are total number of 36 students and 4 adults

So, total 40 people are in one bus so...

As, there are six Fields buses

=>40 x 6

=240

Answer: Total 240 people are going on the field trip.

5 0
3 years ago
If every dimension of a two-dimensional figure is multiplied by k, by what quantity is the area multiplied?
Igoryamba
For example: Square has dimension a
A = a²  and if every dimension is multiplied by k new dimension would be:
A 1 = k² a² = k² A.
Or the area of rhombus: A = d1 * d 2 / 2
New area is: A 1 = k d 1 * k d 2 / 2 =  k² A
Answer: If every dimension of two-dimensional figure is multiplied by k, the area is multiplied by k².
8 0
2 years ago
The area of a triangle is 3.6 cm2. If the triangle has a base of 6 cm, what is the height?
Allisa [31]
The area of a triangle can be calculated using the following equation:

A = 1/2 (B x H)

Where B is the dimension of the base and H is the height of the triangle. 

Since the area is known and the dimension of the base is also known, substitute the values into the equation to find the height:

3.6 cm2 = 1/2 (6 cm) (H)

Solving yields an answer of 1.2 cm. Hence the height is 1.2 cm. 
7 0
3 years ago
An apartment building contains 64 apartments. If 25% of them have a view of the park how many apartments do not have a view of t
Karolina [17]

Answer:

48 apartments did not have a view of the park.

Step-by-step explanation:

25% of 64 (total)= 16 (number of people with view)

64 ( total)-16 (# of people with a view)= 48 (number of people without a view)

4 0
3 years ago
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