Question

Please find or gather Statistical data and provide a real-life example of Continuous Random Variables with full steps. you may try to conduct your own experiment/survey/data collection for occurrences of events you come across your daily life. the Creativity of the idea will be rewarded for the assignment. you may also use data set from the internet. please solve with full steps and find all thing in Continuous Random Variables such as probability density function, and the expected value in your example is and please provide a table for you answers at the end.

thanks

Answer 1

consider the random variable of, say, the height of  students. This variable can be described by a continuous probability distribution because the height of  students, height of  students could be 4.5 feet, or 6feet, or 5.5 feet, or 5.2384 feet. The point is, the height of  students’s could, in theory, take any value between zero and infinity. Of course, the probability of different values will involve different likelihoods–and the likelihood that the height of  students more than the Empire State Building will be close to nil.

The height of 20 students can be as follows, Number are in feet.

4.127578, 4.140683, 4.762245, 5.454953, 3.870408, 5.740775, 4.547939, 4.718167, 6.875555, 6.162152, 4.182668, 8.096779, 3.526636, 4.648679, 4.474434, 3.756637, 5.129139, 7.834942, 5.471888, 3.244981

Where Expected value or mean is 5.038362 and variance is 1.812698.

The distribution follows a normal density function with mean 5.04 and variance 1.81.