Complete the table and answer the questions below.

Experience has shown that 30% of all persons afflicted by a certain illness recover. A drug company has developed a new medication. Ten people with the illness were selected at random and received the medication.Suppose that the medication was absolutely worthless. Let X be the number of patients who recovered from the illness Construct and present the probability distribution of X using a probability distribution table: In the first column, identify the possible values of the random variable. In the second column, compute the probability values, Complete the table: X P(X) 0 ? ? ? H Answer the following: Find the probability that: At least eight patients will recover WNH Four or five patients will recover At most three patients will recover Compute the following descriptive measures: 1. Out of ten people with the illness, compute for the expected number of patients who will recover: 2. Compute for the variance of the random variable 3. Compute for the standard error of the random variable X