Consider the experiment of tossing a coin twice.
1. List the experimental outcomes.
2. Define a random variable threat that represents the number of heads occurring on the two tosses.
3. Show what value the random variable would assume for each of the experimental outcomes.
4. Is the random variable discreet or continuous?
Consider the experiment of a worker assembling a product.
1. Define a random variable that represents the time in minutes required to assemble the product.
2. What values may the random variable assume?
3. Is the random variable discreet or continuous?
These two problems are examples of a discrete random variable and continuous random variable. The first one is a discrete random variable and second one is a continuous random variable. Please see the attachment for the detailed explanation of the answers. If you ...
The expert lists the experimental outcomes for tossing a coin twice. A random variable threat the represents the number of heads occurring on the two tosses are defined.
Transformation of Variables in Probability Distribution
I've struggled for 3 days to come up with something approaching a relevant answer but am now desperate.
Could you solve Q3, both a) and b) parts from the Exercise Sheet attached?
Happy to pay 2 credits for both answers.
Thank you very much.
3. The random variable X has an exponential distribution with mean µ. Let Y = e
(a) Use the method of transformations to find the probability density function of
Y . [ 4 marks ]
(b) Use the method of distribution functions to find the cumulative distribution
function of Y .