Match the term with the best description of it. - A. ...
-
Match the term with the best description of it.
- A. B. C. D. E. probability density function (pdf)
- A. B. C. D. E. cumulative distribution function (cdf)
- A. B. C. D. E. probability mass function (pmf)
- A. B. C. D. E. characteristic function
- A. B. C. D. E. probability distribution
A. a description of the relative probabilities of outcomes for a continuous domain
B. a description of the probabilities of outcomes for a given sample space
C. a description of the running total of outcome probabilities
D. Yes, this is a real stats thing. No, we didn't cover it.
E. a description of the relative probabilities of outcomes for a discrete domain
Homework Answers
The correct match is as follows:
| A | Probability Density Function (pdf) | A | a description of the relative probabilities of outcomes for a continuous domain |
| B | Cumulative Distribution Function | C | a description of the running total of outcome probabilities |
| C | Probability Mass Function (pmf) | E | a description of the relative probabilities of outcomes for a discrete domain |
| D | Characteristic Function | D | Yes, this is a real stas thing. No, we didn't cover it. |
| E | Probability distribution | B | a description of the probabilities of outcomes for a given sample space |
You roll a pair of standard six–sided dice and record the largest of the two outcomes....
You roll a pair of standard six–sided dice and record the largest of the two outcomes. Let X be random variable associated with the outcome of this experiment. (b) What is the probability mass function (PMF) of X? (c) What is the cumulative distribution function (CDF) of X?
Name: . [20 points] Sketch the following probability density function (pdf). Write an equation and sketch...
Name: . [20 points] Sketch the following probability density function (pdf). Write an equation and sketch the corresponding Cumulative Distribution Function (CDF). Is this random ariable discrete or continuous? y 1 0 otherwise
Table of the most usual probability distribution functions of maintenance processes Create a table of the...
Table of the most usual probability distribution functions of maintenance processes Create a table of the most usual probability mass functions (pmf) or probability distribution functions (pdf) (for discrete or continuous random variables) and their features that are mostly applied in Maintenance and Reliability. The columns should contain the following information: pmf or pdf, range of the variable, the cumulative distribution function (CDF), parameters, range of parameters, mean value, standard deviation or variance. Draw the table landscape The table is...
Consider an urn that contains 10 tickets, labelled From this urn, I propose to draw a ticket. Let X denote the value of the ticket I draw. Determine each of the following: (a) The probability mass fu...
Consider an urn that contains 10 tickets, labelled From this urn, I propose to draw a ticket. Let X denote the value of the ticket I draw. Determine each of the following: (a) The probability mass function of X (b) The cumulative distribution function of X (e) The expected values of X. (d) The variance of X. (e) The standard deviation of X. Note for the above TWO problems: . You are not required to include the graph of PMF...
Sketch the following probability density function (pdf). Write an equation and sketch the corresponding Cumulative Distribution...
Sketch the following probability density function (pdf). Write
an equation and sketch the corresponding Cumulative Distribution
Function (CDF). Is this random variable discrete or continuous?
Answer the following:
P( V< -0.5 )
P( V < 1.0 )
P( V ≤ 1.0 )
fv(v)otherwise
Question 1. A Discrete Distribution - PME Verify that p(x) is a probability mass function (pmf)...
Question 1. A Discrete Distribution - PME Verify that p(x) is a probability mass function (pmf) and calculate the following for a random variable X with this pmf 1.25 1.5 | 1.7522.45 p(x) 0.25 0.35 0.1 0.150.15 (a) P(X S 2) (b) P(X 1.65) (c) P(X = 1.5) (d) P(X<1.3 or X 221) e) The mean (f) The variance. (g) Sketch the cumulative distribution function (edf). Note that it exhibits jumps and is a right continuous function.
2. Suppose X is a continuous random variable with the probability density function (i.e., pdf) given...
2. Suppose X is a continuous random variable with the probability density function (i.e., pdf) given by f(x) - 3x2; 0< x < 1, - 0; otherwise Find the cumulative distribution function (i.e., cdf) of Y = X3 first and then use it to find the pdf of Y, E(Y) and V(Y)
15. (10 points) A. Draw a graph of the probability distribution function (PDF) for the uniform di...
15. (10 points) A. Draw a graph of the probability distribution function (PDF) for the uniform distribution that is defined to be non-zero and constant between 1 and 10. Label the x and y-axes for the graph. (3 points) B. On the same graph draw the cumulative distribution function (CDF) for the uniform distribution. Clearly identify each line (PDF or CDF) in the graph. (3 points) C. In words, express the mathematical relationship that exists between any CDF and the...
Answer True or False for the following questions: 1. The probability density function (pdf) is used...
Answer True or False for the following questions: 1. The probability density function (pdf) is used to describe probabilities for continuous random variables. 2. The cumulative distribution function (cdf) gives the probability as an area. 3. The amount of time (beginning now) until an earthquake occurs has an uniform distribution 4. Normal distributions are commonly used in calculations of product reliability, or the length of time a product lasts. 6. The exponential distribution has the decay parameter, which says that...
On a certain flight, from prior data, 70% of passengers will buy a meal. A typical row in the economy section of this fl...
On a certain flight, from prior data, 70% of passengers will buy a meal. A typical row in the economy section of this flight seats 10 in "3-4-3" seating. Create an Excel spreadsheet. In your Excel spreadsheet, answer the following questions: a. What method was used to determine that 70% of passengers will buy a meal? b. Use the letter M to stand for your random variable. What is the meaning of M? The answer to this question begins, "Let...
Name: . [20 points] Sketch the following probability density function (pdf). Write an equation and sketch the corresponding Cumulative Distribution Function (CDF). Is this random ariable discrete or continuous? y 1 0 otherwise
Table of the most usual probability distribution functions of maintenance processes Create a table of the most usual probability mass functions (pmf) or probability distribution functions (pdf) (for discrete or continuous random variables) and their features that are mostly applied in Maintenance and Reliability. The columns should contain the following information: pmf or pdf, range of the variable, the cumulative distribution function (CDF), parameters, range of parameters, mean value, standard deviation or variance. Draw the table landscape The table is...
Consider an urn that contains 10 tickets, labelled From this urn, I propose to draw a ticket. Let X denote the value of the ticket I draw. Determine each of the following: (a) The probability mass function of X (b) The cumulative distribution function of X (e) The expected values of X. (d) The variance of X. (e) The standard deviation of X. Note for the above TWO problems: . You are not required to include the graph of PMF...
Sketch the following probability density function (pdf). Write
an equation and sketch the corresponding Cumulative Distribution
Function (CDF). Is this random variable discrete or continuous?
Answer the following:
P( V< -0.5 )
P( V < 1.0 )
P( V ≤ 1.0 )
fv(v)otherwise
Question 1. A Discrete Distribution - PME Verify that p(x) is a probability mass function (pmf) and calculate the following for a random variable X with this pmf 1.25 1.5 | 1.7522.45 p(x) 0.25 0.35 0.1 0.150.15 (a) P(X S 2) (b) P(X 1.65) (c) P(X = 1.5) (d) P(X<1.3 or X 221) e) The mean (f) The variance. (g) Sketch the cumulative distribution function (edf). Note that it exhibits jumps and is a right continuous function.
2. Suppose X is a continuous random variable with the probability density function (i.e., pdf) given by f(x) - 3x2; 0< x < 1, - 0; otherwise Find the cumulative distribution function (i.e., cdf) of Y = X3 first and then use it to find the pdf of Y, E(Y) and V(Y)
15. (10 points) A. Draw a graph of the probability distribution function (PDF) for the uniform distribution that is defined to be non-zero and constant between 1 and 10. Label the x and y-axes for the graph. (3 points) B. On the same graph draw the cumulative distribution function (CDF) for the uniform distribution. Clearly identify each line (PDF or CDF) in the graph. (3 points) C. In words, express the mathematical relationship that exists between any CDF and the...
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