Question

In: Statistics and Probability

a) Give a description of how you find the 43rd percentile of a continuous random variable,...

a) Give a description of how you find the 43rd percentile of a continuous random variable, given the PDF.

b) If I want to consider the 54th percentile, what is the value of alpha?

Solutions

Expert Solution

I wanted to type answer of your question but the problem was how to use integration sign. So I have given solution in the image format.


Related Solutions

Explain in your own words the difference between a discrete random variable and continuous variable. Give...
Explain in your own words the difference between a discrete random variable and continuous variable. Give a clear for example  for each that defines that distinct difference.  What does it mean to have a success vs a failure? What the requirements for performing a binomial probability experiment? How do you find the mean and standard deviation of a binomial probability distribution?  discussed probability, what does Do not give a formula - explain the formula itself and use an example to show...
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...
Use the Law of large numbers to find the mean of continuous random variable. and Interpret...
Use the Law of large numbers to find the mean of continuous random variable. and Interpret that mean.
What is the difference between a discrete random variable and a continuous random variable?
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?
The pth percentile (0 < p < 100) of a random variable X is a number...
The pth percentile (0 < p < 100) of a random variable X is a number m that satisfies FX(m) = p/100. Find the 25th , 50th (median), and 75th percentiles of the exponential random variable with parameter λ. Find the same for a normal random variable with mean µ and standard deviation σ.
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
Suppose you are taking a random sample, and measuring continuous variable X, from a population in...
Suppose you are taking a random sample, and measuring continuous variable X, from a population in which X is normally distributed. What is the probability that you will get a sample mean greater than the 60th percentile of the original distribution of individuals, i. with a sample size of N=100? ii. with a sample size N=50? iii. with a sample size of N=10? Do any of your answers change if the original distribution is not normal? Explain.
The random variable X follows a CONTINUOUS UNIFORM DISTRIBUTION over the interval [50, 250]. Find P(80...
The random variable X follows a CONTINUOUS UNIFORM DISTRIBUTION over the interval [50, 250]. Find P(80 < X < 135). P(80 < X < 135) =
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)?...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT