Subtract the rational expression

50 pts!!!! Luciana's laptop has 3,000 pictures. The size of the pictures is skewed to the right, with a mean of 3.7MB and a stan

skelet666 [1.2K]

Answer:

Part A: No, you cannot.

Part B: 0.4491

Explanation:

Part A:

The mean of samples of symmetrical (bell shaped) distributions follow a normal distribution pattern.

Thus, for symmetrical distributions you can use the z-score tables to make calculations that permit calculate probabilities for particular values.

For skewed distributions, in general, the samples do not follow a normal distribution pattern, except that the samples are large.

Since a sample of 20 pictures is not large enough, the answer to this question is negative: you cannot accurately calculate the probability that the mean picture size is more than 3.8MB for an SRS (skewed right sample) of 20 pictures.

Part B.

For large samples, the Central Limit Theorem will let you work with samples from skewed distributions.

Although the distribution of a population is skewed, the Central Limit Theorem states that large samples follow a normal distribution shape.

It is accepted that samples of 30 data is large enough to use the Central Limit Theorem.

Hence, you can use the z-core tables for standard normal distributions to calculate the probabilities for a random sample of 60 pictures instead of 20.

The z-score is calculated with the formula:

z-score = (value - mean/ (standard deviation).

$z=(x-\mu )/\sigma$

Here, mean = 3.7MB, value = 3.8MB, and standard deviation = 0.78MB.

Thus:

$z=(3.7M-3.8MB)/(0.78MB)=-0.128$

Then, you must use the z-score table to find the probability that the z-score is greater than - 0.128.

There are tables that show the cumulative probability in the right end and tables that show the cumulative probability in the left end of a normal standard distribution .

The probability that a z-score is greater than -0.128 is taken directly from a table with the cumulative probability in the left end. It is 0.4491.

4 0

3 years ago

The linear inequalities that will limit the solution region in a linear programming problem are called the ___.

Lina20 [59]

The linear inequalities that will limit the solution region in a linear programming problem are called the origin.

Explanation:

The x-axis is a horizontal line, and it is perpendicular to the y-axis. The origin is called the convergence of the two axes. This property allows multiplying a term or terms into a polynomial.
The origin is a starting point, and in mathematics, the origin can also be said as the starting point.
The co-ordinates for every other point are based on how far from the origin that point is. x and y are equal to zero at the origin and cross the x-axis and y-axis.

6 0

2 years ago

Every year the state department of education gathers statistical information from all schools to award a letter grade showing th

DanielleElmas [232]

A school principal used a bar graph to send his report. He assigned the horizontal axis to the student’s name and the vertical axis to the grades. If the x-axis (the horizontal axis) is the students name and the y-axis (the vertical axis) are the grades. There has to be multiple bar-graphs per student. Otherwise the data would be incomplete.

5 0

2 years ago

PLEASE HELP I AM BEING TIMED!! A company gives each new salesperson a commission of $300 for the sale of a new car. The salesper

Mademuasel [1]

Answer:

I would say B

Hope This Helps! Have A Nice Day!!

3 0

3 years ago

Read 2 more answers

Help me please ( i’ll give 20 points for this )

valkas [14]