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 25 and 30 minutes late.
(b) It is 10 AM. There is a 10% probability the friend will arrive within how many minutes?
(a) The probability that the friend is between 25 and 30 minutes late is _______
a) Find the probability that the friend is between 25 and 30 minutes late
Area of the rectangle= (30-25) * 1/30 = 1/6 = 0.167
The probability is = 0.167
b) It is 10 A.M. There is a 10% probability the friend will arrive within how many minutes?
= x * 1/30 = 0.1
=0.1*30 = 3
There is a 10% probability the friend will arrive within 3 minutes
The graph to the right is the uniform probability density function for a friend who is x minutes late
The graph to the right is the uniform density function for a friend who is x minutes late. Find the probability that the friend is at least 11 minutes late. 1/30- Density 0- 0 30 X 10 20 Time (min) The probability that the friend is at least 11 minutes late is (Type an integer or a decimal. Round to three decimal places as needed.)
Objective 1: Use the Uniform Probability Distribution 7.1.13 0 of 1 Point Question Help The graph to the right in the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 20 and 30 minutes late. (b) It is 10 A.M. There is a 10% probability the friend will arrive within how many minutes? 1/30 Density 0 0 10 20 30X Time in (a) The probability that the friend...
to ang naranas no atom son The graph to the right is the uniform density function for a friend who is x minutes late. Find the probability that the friend is at least 23 minutes late. tamen teature to be more to Fas to serbatang bata kane 1/30- Density OH Ó 10 20 30 ☆ Time (min) The probability that the friend is at least 23 minutes late is . (Type an integer or a decimal. Round to three decimal...
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%...
Your friend Kate is never on time and is regularly anywhere from 3 to 21 minutes late. Let X represent the length of time in minutes that Kate is late and assume it has a uniform distribution.(Note: Labelled diagrams and proper notation are required for all parts.) a) Draw the probability density of X. b) Find the probability that Kate will be no more than 10 minutes late. c) Find the probability that Kate will be between 15 and 20...
2) Consider a random variable Z with a uniform probability density function given as UZ(-1,0) and X=4Z+4. a) Find and plot the probability density function ( ) Xf x . b) Find and plot the probability distribution function ( ) F x X . c) Find E[Z]. d) Find E[X]. e) Find the correlation of Z and X. i. Are they correlated? ii. Are they independent? Why? 2) Consider a random variable Z with a uniform probability density function given...
Consider a continuous random variable X with the following probability density function: Problem 2 (15 minutes) Consider a continuous random variable X with the following probability density function: f(x) = {& Otherwise ?' 10 otherwise? a. Is /(x) a well defined probability density function? b. What is the mathematical expectation of U (2) = x (the mean of X, )? c. What is the mathematical expectation of U(z) = (1 - 2 (the variance of X, oº)?
On the graph of a uniformly distributed continuous random variable x, the probability density function, f(x), represents Group of answer choices the height of the function at x the area under the curve at x the probability at a given value of x the area under the curve to the right of x
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...
The time Z in minutes between calls to an electrical supply system has the probability density function 1 f(z) = 10 0 <z<00 0, elsewhere (a) What is the probability that there are no calls within a 20-minute time interval? (b) What is the probability that the first call comes within 10 minutes of opening? (c) What is the mean and variance of Z
> wrong
Cameron Pirkle Thu, Nov 4, 2021 2:07 PM