Provide a case scenario of a problem (actual or hypothetical) that involves a continuous random variable...

Provide a case scenario of a problem (actual or hypothetical) that involves a continuous random variable X that follows a normal probability distribution. Ideally, it will come from your work or field of study, but it is not absolutely necessary. You will need to use the normal probability rules to solve that problem.

Important Note: Email a draft of your problem scenario early in the week to your instructor for him/her to review it and provide feedback early in the process.

Complete the following:

Describe the setting in your problem scenario and a short background information.
Define exactly what you want to solve in this scenario and your solution plan.
Describe the type of data you collected for solving this problem.
Describe possible variable(s). (Are they continuous?)
Describe the statistical method(s) that you used to analyze the data. (Such as numerical summaries, graphs, etc.) Provide evidence that this data follows a normal distribution.

If you use a software to get these analyses done, cut the related output and paste it on to your assignment document.

Provide a detailed step by step explanations of the solution to the chosen problem. In your solution, include the following:

Probability that the continuous random variable is greater than a specific value pertaining your problem.
Probability that the continuous random variable is less than a specific value pertaining your problem.
Probability that the continuous random variable is between two values pertaining your problem.
Percentile(s) of some data values.
Graphs to visualize your solution.

Explain your thinking behind your choices of using formulas, tables, charts, etc.
Discuss the results.
Utilize proper/correct APA citations in the body of the paper and in all your references, including figures/tables in your report.

Expert Solution

milcah answered 1 year ago

Determine whether the value is a discrete random variable, continuous random variable, or not a random...

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The number of bald eagles in a countrynumber of bald eagles in a country b. The number of points scored during a basketball gamenumber of points scored during a basketball game c. The response to the survey question "Did you smoke in the last week question mark "response to the survey question "Did you smoke in the last week?" d. The number...

What is the difference between a discrete random variable and a continuous random variable?

What is a random variable? Why is it important? What is discrete random variable? Continuous random?...

What is a random variable? Why is it important? What is discrete random variable? Continuous random? What is an expected value?

Problem 2. (a) Prove that, if two continuous random variable X and Y are independent P(X...

Problem 2. (a) Prove that, if two continuous random variable X and Y are independent P(X > x, Y > y) = P(X > x)P(Y > y) (b) Now prove that, under the same conditions, X,Y, independent continuous random variables, E(XY) = E(X)E(Y).

Q 7: Determine whether the following value is a continuous random variable, discrete random variable, or...

Q 7: Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The height of a randomly selected person b. The hair color of adults in the United States c. The number of free-throw attempts before the first shot is missed d. the weight of a hamburger e. The number of pigeons in a country f. The exact time it takes to evaluate 67 + 29

The current in a certain circuit as measured by an ammeter is a continuous random variable...

The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. f(x) = 0.025x + 0.4 3 ≤ x ≤ 5 0 otherwise (a) Graph the pdf. Verify that the total area under the density curve is indeed 1. 5 0.025x + 0.4 dx 3 = 5 3 = 2.3125 − = (b) Calculate P(X ≤ 4). How does this probability compare to P(X < 4)?...

Random variable X is a continuous uniform (0,4) random variable and Y=X^(1/2). (Note: Y is always...

Random variable X is a continuous uniform (0,4) random variable and Y=X^(1/2). (Note: Y is always the positive root.) What is the P[X>=E[X]] ? What is the E[Y] ? what is the P[Y>=E[Y]]? what is the PFD of fY(y)?

4. Consider the random variable Z from problem 1, and the random variable X from problem...

4. Consider the random variable Z from problem 1, and the random variable X from problem 2. Also let f(X,Z)represent the joint probability distribution of X and Z. f is defined as follows: f(1,-2) = 1/6 f(2,-2) = 2/15 f(3,-2) = 0 f(4,-2) = 0 f(5,-2) = 0 f(6,-2) = 0 f(1,3) = 0 f(2,3) = 1/30 f(3,3) = 1/6 f(4,3) = 0 f(5,3) = 0 f(6,3) = 0 f(1,5) = 0 f(2,5) = 0 f(3,5) = 0 f(4,5) = 1/6...

Let x be a continuous random variable that follows a distribution skewed to the left with...

Let x be a continuous random variable that follows a distribution skewed to the left with ?= 92 and ?=15. Assuming n/N <= .05, find the probability that the sample mean, x bar, for a random sample of 62 taken from this population will be (ROUND ANSWERS TO FOUR DECIMAL PLACES): a) less than 81.5 P(less that 81.5)= b) greater than 89.7 P(greater than 89.7)= Please show your work.

Let x be a continuous random variable that is normally distributed with a mean of 65...

Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value: less than 48 greater than 87 between 56 and 70

Question