***Solve without derivative and please explain all the steps in your work. Thanks. 4. Uniform Distributions....
***Solve without derivative and please explain all the steps in your work. Thanks.
4. Uniform Distributions. A random number generator randomly selects a number from -2 to 1.
It is equally likely to select any number from this interval [-2,1]. We can view this random
variable as a continuous random variable.
(a)
What is the constant height required to ensure that the area between the x axis and the
curve is exactly one in this case (note since this is a uniform distribution the density curve is
a horizontal line)?
(b)
What is the probability that a randomly generated number is less than -1?
(c)
What is the probability that a randomly generated number is greater than -1?
(d)
What is the probability that a randomly generated number is greater than 0.5?
(e)
What is the probability that a randomly generated number is either greater than 0.5 or less
than -1?
(f)
What is the probability that a randomly generated number is 0.5?
Homework Answers
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***Solve without derivative and please explain all the steps in
your work. Thanks.
4. Uniform Distributions....
*** SOLVE WITHOUT DERIVATIVE, USE GRAPHING CALCULATOR FUNCTION AND SHOW STEPS 4. Uniform Distributions. A random...
*** SOLVE WITHOUT DERIVATIVE, USE GRAPHING CALCULATOR FUNCTION AND SHOW STEPS 4. Uniform Distributions. A random number generator randomly selects a number from -2 to 1. It is equally likely to select any number from this interval [-2,1]. We can view this random variable as a continuous random variable. (a) What is the constant height required to ensure that the area between the x axis and the curve is exactly one in this case (note since this is a uniform...
4.60 The sum of two uniform random numbers. Generate two random numbers between 0 and 1...
4.60 The sum of two uniform random numbers. Generate two random numbers between 0 and 1 and take Y to be their sum. Then Y is a continuous random variable that can take any value between 0 and 2. The density curve of Y is the triangle shown in Figure 4.12. (a) Verify by geometry that the area under this curve is 1. (b) What is the probability that Y is less than 1? [Sketch the density curve, shade the...
PLEASE ANSWER ALL QUESTION 1 1 points Save Answer A random variable is a uniform random...
PLEASE ANSWER ALL
QUESTION 1 1 points Save Answer A random variable is a uniform random variable between 0 and 8. The probability density is 1/8, when 0<x<8 and O elsewhere. What is the probability that the random variable has a value greater than 2? QUESTION 2 1 points Save Answer The total area under a probability density curve of a continuous random variable is QUESTION 3 1 points Save Answer X is a continuous random variable with probability density...
Suppose 6 numbers are generated by a computer, each uniform on the interval (0, 1). Let...
Suppose 6 numbers are generated by a computer, each uniform on the interval (0, 1). Let Y be the random variable representing the smallest of the numbers. (a) Show that the probability density of Y is given by py (t) -61-t)5, 0t <1 [51 Hint: The probability density for the r-th largest random variable can be derived using the Beta distribution by letting a = r and ?-n-r +1. (b) What is the probability that the smallest number is less...
The random-number generator on calculators randomly generates a number between 0 and 1. The random variable...
The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.85 and 0.96? (c) What is the probability of generating a number greater than 0.88? (a) Choose the correct graph of the uniform density function below. ОА. OB. OC. A Density Density A Density ON ON...
In question #1 Please answer all parts A and B. And in #2 Please answer A-C....
In question #1 Please answer all parts A and B. And in #2 Please
answer A-C. Thank You!!
Score: 0 of 1 pt 2 of 10 (4 complete) HW Score: 40%, 4 of 10 pts 7.1.13 Question Help The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 15 and 20 minutes late. (b) It is 10 A.M. There is a 50%...
info here is given to help solve #3 below this photo: You may use any computer...
info here is given to help solve #3 below this photo:
You may use any computer software of your choice to complete this assignment Random variables from the four probability distributions given may be generated as follows 1. A standard uniform random variable, U in the interval (0,1), i.e., U ~ U (0,1), may be generated using the Matlab function 'rand'. The corresponding uniform random variable, X in the interval (-1,1) may be obtained as X 2U 1 2. A...
plz show all work... Exercises for Chapter 7: Sa mpling Distributions I entrance exam at an...
plz show all work...
Exercises for Chapter 7: Sa mpling Distributions I entrance exam at an MBA program in the Central Valley of doo Are scores on the GMAT entrance exam a discrete or a continuous variable? What is the probability that a randomly selected application will report a GMAT score of less than 600? a. b. estith that a sample of 50 randomly selected applications will report an average GMAT score of less than 600? d. W hat is...
Hello, Please answer these questions below and explain the answers step by step, Thanks! 1) Let...
Hello, Please answer these questions below and explain the answers step by step, Thanks! 1) Let x be a normally distributed random variable with mean 5 and standard deviation 15. Please express your answer as a number between 0 and 100. If you want to write 52%, please enter 52. What is the probability that x is less than or equal to 38? 2) Let x be a normally distributed random variable with mean 20 and standard deviation 10. Please...
Hello, Please answer these questions below and explain the answers step by step, Thanks! 1) Let...
Hello, Please answer these questions below and explain the answers step by step, Thanks! 1) Let x be a normally distributed random variable with mean 5 and standard deviation 15. Please express your answer as a number between 0 and 100. If you want to write 52%, please enter 52. What is the probability that x is less than or equal to 38? 2) Let x be a normally distributed random variable with mean 20 and standard deviation 10 Please...
4.60 The sum of two uniform random numbers. Generate two random numbers between 0 and 1 and take Y to be their sum. Then Y is a continuous random variable that can take any value between 0 and 2. The density curve of Y is the triangle shown in Figure 4.12. (a) Verify by geometry that the area under this curve is 1. (b) What is the probability that Y is less than 1? [Sketch the density curve, shade the...
PLEASE ANSWER ALL
QUESTION 1 1 points Save Answer A random variable is a uniform random variable between 0 and 8. The probability density is 1/8, when 0<x<8 and O elsewhere. What is the probability that the random variable has a value greater than 2? QUESTION 2 1 points Save Answer The total area under a probability density curve of a continuous random variable is QUESTION 3 1 points Save Answer X is a continuous random variable with probability density...
Suppose 6 numbers are generated by a computer, each uniform on the interval (0, 1). Let Y be the random variable representing the smallest of the numbers. (a) Show that the probability density of Y is given by py (t) -61-t)5, 0t <1 [51 Hint: The probability density for the r-th largest random variable can be derived using the Beta distribution by letting a = r and ?-n-r +1. (b) What is the probability that the smallest number is less...
The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.85 and 0.96? (c) What is the probability of generating a number greater than 0.88? (a) Choose the correct graph of the uniform density function below. ОА. OB. OC. A Density Density A Density ON ON...
In question #1 Please answer all parts A and B. And in #2 Please
answer A-C. Thank You!!
Score: 0 of 1 pt 2 of 10 (4 complete) HW Score: 40%, 4 of 10 pts 7.1.13 Question Help The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 15 and 20 minutes late. (b) It is 10 A.M. There is a 50%...
info here is given to help solve #3 below this photo:
You may use any computer software of your choice to complete this assignment Random variables from the four probability distributions given may be generated as follows 1. A standard uniform random variable, U in the interval (0,1), i.e., U ~ U (0,1), may be generated using the Matlab function 'rand'. The corresponding uniform random variable, X in the interval (-1,1) may be obtained as X 2U 1 2. A...
plz show all work...
Exercises for Chapter 7: Sa mpling Distributions I entrance exam at an MBA program in the Central Valley of doo Are scores on the GMAT entrance exam a discrete or a continuous variable? What is the probability that a randomly selected application will report a GMAT score of less than 600? a. b. estith that a sample of 50 randomly selected applications will report an average GMAT score of less than 600? d. W hat is...
Hello, Please answer these questions below and explain the answers step by step, Thanks! 1) Let x be a normally distributed random variable with mean 5 and standard deviation 15. Please express your answer as a number between 0 and 100. If you want to write 52%, please enter 52. What is the probability that x is less than or equal to 38? 2) Let x be a normally distributed random variable with mean 20 and standard deviation 10 Please...
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