Just a little help :,(

A random walker is observed to take a total of N steps, n of which are to the right (and the rest n^' are to the left). Suppose

ioda

Answer:

p = 0.635

Step-by-step explanation:

A step to the right is n and on ten different days, it was recorded to be

14, 13, 11, 12, 11, 12, 16, 16, 14, 8.

n = average of all the steps,

The average is the sum of variables divided by the number of variables

Average = (14+13+11+12+11+12+16+16+14+8)/10

Average = 12.7 steps.

σₙ² = variance of n

Variance is an average of the squared deviations from the mean.

[Σ(x - xbar)²/N]

Σ(x - xbar)² = (14-12.7)² + (13- 12.7² + (11-12.7)² + (12-12.7)² + (11-12.7)² + (12-12.7)² + (16-12.7)² + (16-12.7)² + (14-12.7)² + (8-12.7)² = 54.1

Variance = σₙ² = (54.1/10) = 5.41

standard deviation = σₙ = √(variance) = √5.41 = 2.326.

The proportion, p can be computed in two ways.

Mean = Np or standard deviation = √[Np(1-p)]

where N = total number of steps = 20

Mean = 12.7 = 20p

p = (12.7/20) = 0.635

Or

Standard deviation = 2.326 = √[20p(1-p)]

5.41 = 20p - 20p²

20p² - 20p + 5.41 = 0

Solving the quadratic equation,

p = 0.5 + 0.143i or p = 0.5 - 0.143i

not a unique or feasible solution, hence, the probability of a step to the right remains p = 0.635

Hope this Helps!!!

5 0

3 years ago

In gfc factor 24-9 and 14x+63

icang [17]

Answer:

7(2x+9)

3(8-3)

Step-by-step explanation:

14x+63

We can factor out a 7

7(2x+9)

24-9

We can factor out a 3

3(8-3)

4 0

3 years ago

Do u think temperature and pressure have any effect on gasses

larisa [96]

Answer:

Gay Lussac's Law - states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. If you heat a gas you give the molecules more energy so they move faster. This means more impacts on the walls of the container and an increase in the pressure.

Step-by-step explanation: An increase in the number of gas molecules in the same volume container increases pressure. A decrease in container volume increases gas pressure. An increase in temperature of a gas in a rigid container increases the pressure

3 0

3 years ago

Read 2 more answers

A study in El Paso, Texas, looked at seat belt use by drivers. Drivers were observed at randomly chosen convenience stores. Afte

Nikolay [14]

Answer:

The answers will always be bias. This is due to the fact that for someone to say no, would be self incrimination. Though there will be exceptions for those who do not care, or who are just honest, the 25%.

Step-by-step explanation:

4 0

3 years ago

Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his custom

ira [324]

Answer:

a) The best estimator for the population mean is given by the sample mean $\hat \mu = \bar X = 5.70$

b) The 99% confidence interval would be given by (4.969;6.431)

c) We are 99% confident that the true mean for th number of gallons of gasoline sold to his customers is between 4.969 and 6.431.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1.9$ represent the population standard deviation

n=45 represent the sample size

2) Part a

The best estimator for the population mean is given by the sample mean $\hat \mu = \bar X = 5.70$

3) Part b. Develop a 99 percent confidence interval for the population mean.

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

Now we have everything in order to replace into formula (1):

$5.7-2.58\frac{1.9}{\sqrt{45}}=4.969$

$5.7+2.58\frac{1.9}{\sqrt{45}}=6.431$

So on this case the 99% confidence interval would be given by (4.969;6.431)

4) Part c. Interpret the meaning of part (b).

On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline sold to his customers is between 4.969 and 6.431.

4 0

3 years ago