Please help due today

You are going to play a game where you bet a dollar and get to flip a coin ten (10) times. If you get four (4) heads in a row, y

klio [65]

Answer:

Approximately 4,000 times

Step-by-step explanation:

If you're flipping a coin to get 4 heads out of 10 and you times it by 10,000 then you would have a probable win rate of 4,000.

3 0

3 years ago

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

An _____has income and expenses

diamong [38]

Answer:

Step-by-step explanation:

1. An income statement has income and expenses. Income statement records all the finances of an individual or an organization for a certain period of time. 2. The three-legged stool represents retirement savings. Retirement savings is the process of putting aside some finances as savings for later part of life. 3. A 401-K is a type of retirement account. This is an account that is set up by the employer to put aside an amount from salary before the tax deductions. 4. The easily accessible part of an emergency fund is savings. This saving comes fetching at the time of the hour when there is need for it. 5. Working a second job helps meet savings goals can help you pay off debts quicker and fills in gaps in a budget. So we can simply say that having an extra income is always useful

6 0

3 years ago

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Michael decided to make French toast. He finds a recipe that calls for the following ingredients:

Lisa [10]

The answer is B, two cups of milk for every 8 cups of bread.

This is because when using a recipe you want to make sure to get the proportions right and the ratio of milk to bread is 2:8

5 0

3 years ago

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3(x+6)=2(4x+14)<br> what is the value of x?

GrogVix [38]

Hi there

3(x + 6) = 2(4x + 14)
3x + 18 = 8x + 28
3x - 8x = 28 - 18
-5x = 10
x= 10/-5
x = -2

Here it is :)

Merry Christmas

8 0

3 years ago

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