the random variable is characterized by (infinitely) uncountable values within any interval. When computing probabilities for a continuous random variable, keep in mind that P (X=x) = 0. - We cannot assign a nonzero probability to each infinitely uncountable value and still have the probabilities sum to one.
A continuous random variable has the uniform distribution of the interval [a,b] if its probability density function f (x): is constant for all x between a and b, and 0 otherwise. Suppose you were told that the delivery time of your new washing machine is equally likely over the time period 9 am to noon.
A statement that matches the values of a random variable with the probabilities of those values is a. the expected value. b. the variation of the random variable. an experiment. d. a probability distribution. 26. In a Poisson probability problem, the rate of errors is one every two hours. To find the probability of three defects in four hours, a.
When computing probabilities for a continuous random variable, keep in mind that P (X=x) = 0. - We cannot assign a nonzero probability to each infinitely uncountable value and still have the probabilities sum to one. there are a countable number of possible values. > The area under f (x) over all values of x equals one.