Let over . Determine the value of the constant that makes this a probability density function.
Suppose we have a probability density function defined in as Verify that this is indeed a probability density function.
For the density function given in problem2, determine the cumulative distribution function.
Suppose we have a probability density function defined in . Find the expected value.
Suppose we have a probability density function defined as in . Find the variance.
Suppose the cumulative distribution function of a continuous random variable is given as in . Determine its expected value.
Suppose we have a continuous uniform distribution with expected value 3 and variance 2. What are its upper and lower limits?
Suppose the body length of a certain species is normally distributed with mean 39.8 in and standard deviation 2.05 inches. What is the probability that a randomly selected member of this species will have a body length of at least 40 inches?
