Math Answers

Box A and Box B both contain the numbers 1, 2, 3 and 4. Construct the probability mass function and draw the histogram of the sum when one number from each box is taken at a time, with replacement.

Two balls are drawn in succession without replacement from an urn containing 5 red balls and 6 blue balls. Let Z be the random variable representing the number of blue balls. Find the values of the random variable Z. Make a table to show the values of the random variable.

Suppose three coins are tossed. Let Y be the random variable representing the number of tails that occur. Find the values of the random variable Y. Make a table to show the values of the random variable.

Let D represent the defective cell phone and N represent the non defective cell phone. If we let X be the random variable representing the number of defective cell phones, can you show the values of the random variable X? Complete the table below to show to show the values of the random variable.

P(-2.68<z<0.45)

Find the mean of the probability distribution of the random variable Z if P(Z) = 񨀫 1 20 , for X = 1, 2, 3, 4 and 5.

The probabilities that a surgeon operates on 3, 4, 5, 6 or 7 patients in any day are 0.15, 0.10, 0.20, 0.25 and 0.30, respectively. Find the average number of patients that a surgeon operates on a day.

The probabilities that the customer will buy 1, 2, 3, 4 or 5 items in a grocery store are 1 6 , 1 6 , 1 6 , 2 6 and 1 6 , respectively. What is the average number of items that a customer will buy?

Write the probability distribution of the random variable Q defined by the outcomes of rolling a fair die.

Formulate the symbolic expression in English Sentence using p:Today is Monday. q:It is raining. r:It is hot.

4. ¬p → (q ˅ r)

5. ¬p → r

6. q → ¬r