Question 12. Compute the following indefinite integral.

The organisms noted by the number 1. represent:

(3 points each) Each of the following scenarios are NOT binomial experiments. Explain which condition is failed. Support your answer by explaining why, in particular, does the condition fail. 1. You toss a fair coin until you get 10 tails. You define the random variable as the number of tails that appears.   2. The probability of having Type A+ blood is about 36%. You define the random variable as the number of times A+ appears in your sample. You look at the blood type of six individuals from the same family.

A large sample of students were asked how many classes they were enrolled in for a particular quarter. The results are given in the probability distribution below, where x represents the number of classes. # of classes,   1 2 3 4 5 Probability,   0.04 0.15 0.44 0.28 0.09 Calculate the mean and standard deviation of the probability distribution. Round to two decimal places.  Mean: [1] classes Standard Deviation: [2]

A.  Probability of Success B.  Probability of Failure C.  Expected Value D.  Probability of Event E E.  Frequency F.  Sum G.  Population Mean H.  Population Variance I.  Population Standard Deviation J.  Sample Mean K.  Sample Variance L.  Sample Standard Deviation M.  Sample Size N.  Population Size O.  Random Variable To the left is a symbol you have seen this quarter. The answer bank is above. Match the symbol with its description by choosing the appropriate letter (capitalized).  [a] [b] [c] [d]

The attendees blood types for a local blood drive are given in the following contingency table.  Rh+ Rh- Totals A 172 31 [sumA] B 48 8 [sumB] AB 12 6 [sumAB] O 199 55 [sumO] Totals [Totplus] [Totminus] [Total] Fill in the table with the totals. If an attendee is randomly chosen, find the following probability of the following. Express your answer as a percent rounded to one decimal place (ex: 22.5%). Please note the percent sign is already provided.. Show your work on scratch paper. 1. …having Rh positive (Rh+) blood. [Rhplus]% 2. …having Type A blood. [Ablood]% 3. …having Type A OR Rh+ blood. [ARhplus]% 4. …being a universal donor (Type O-). [Udonor]% 5. …being a universal recipient (Type AB+). [Urecip]% 6. …having Rh+ blood GIVEN they have Type A blood. [RhgivA]% 7. …having Type A blood GIVEN they have Rh+ blood. [AgivRh]% 8. …having Type O blood AND Type A blood. [IMP]%  

You buy a ticket for a raffle. Each ticket costs $[ticket] and 200 tickets are sold. Three winners are randomly selected. First prize is a large screen TV valued at $[TV]. Second prize is a one pot valued at $[pot]. Third prize is a $[gift] gift card for a local business. First set up the situation as a probability distribution by finding the net gain/loss for first prize, second prize, third prize, and loss (no prize). Then find the associated probability for each outcome. Outcome Random Variable, x Probability First Prize ? ? Second Prize ? ? Third Prize ? ? Loss ? ? Recall the expected value is the mean of the probability distribution. What is the expected value of the raffle? Round to two decimal places, and interpret your results on your scratch paper.

The percentage of Americans who are able to donate to anyone, that is they are universal donors, is only 6.8%. There are approximately 342,000,000 Americans in the United States. About how many Americans in the U.S. are universal donors?

Suppose the percent of a particular country who are universal recipients, that is they are able to receive blood from anyone, is [prob]%. During a blood drive, there were only [n] participants. Find the probability that at least one of the participants is a universal recipient. Express your answer as a decimal rounded to three decimal places. Hint: This is a binomial experiment.

Is the following distribution an example of a probability distribution? Explain why or why not. – $2 $15 $45 $224 0.24 – 0.15 0.38 0.53