A student goes to the library. Let events B = the student checks out a book and D = the student checks out a DVD. Suppose that P(B) = 0.56, P(D) = 0.95 and P(B AND D) = 0.39. Find P(D|B). Give your answer as a decimal rounded to the nearest hundredth.

From 2000 to 2023, the number of people in Virginia (in millions) can be modeled by P=0.08x+6.97 where x = 0 corresponds to the year 2000. What is the expected population in 2019

The expression S(Xi) directs us to find the  sum of scores median  average of the scores  middle score

Sergio estimates that his probability of passing Phys Ed is 0.9 and his probability of passing Physics is 0.6.  The probability, to the nearest hundredth, that Sergio will pass Phys Ed but fail Physics is:

a certain city, projections for the next year indicate there is a 20% chance that electronics jobs will increase by 1400, a 50% chance that they will increase by 400, and a 30% chance they will decrease y 700. Find the expected change in the number of electronics jobs in that city in the next year. he expected change is an increase of jobs.

John's answering machine receives about 28 telephone calls between 8:00 am and 8:00 pm. Let X = the number of phone calls received between 1:00 pm to 3:00 pm. What is the mean of X?

Let P(A)= 0.459.   Find P(A¯¯¯¯).  do not round your answer

See picture for problem.

Your friend makes up a game to play over Zoom during the shelter in place, and asks if you would like to play.  The rules are: You win $8 if you roll a 6. You win $4 if you roll a 4 or 5 Otherwise, you have to pay $10. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. The first value is filled in for you.  Round to 4 decimal places where appropriate.  Probability Distribution Table X P(X) -10           b. Find the expected profit. $ (Round to the nearest cent)c. Interpret the expected value. You will win this much if you play a game. This is the most likely amount of money you will win. If you play many games, on average, you will likely win, or lose if negative, close to this amount.