An unbalanced CRD is performed with a total of 800 subjects. Three hundred subjects are

placed on the first treatment and 500 are placed

on the second treatment. There is a total of 356

successes, with 126 of the successes on the first

treatment. Use the standard normal curve to obtain the approximate P-value for the third alternative, p1 6= p2.

13. A sample space has three possible outcomes, B,

C, and D. It is known that P(C) = P(D). The

operation of the chance mechanism is simulated

10,000 times (runs). The sorted frequencies of

the three outcomes (B, C, and D) are:

2322, 2360, and 5318.

(a) What is your approximation of P(B)? To

receive credit you must explain your answer.

(b) What is the best approximation of P(C)?

To receive credit you must explain your

answer.

14. A sample space has four possible outcomes, A,

B, C, and D. It is known that P(A) + P(B) =

0.60 and P(C)

chance mechanism is simulated 10,000 times

(runs). The sorted frequencies of the four outcomes (A, B, C, and D) are:

500, 1528, 2531, and 5441.

Use these simulation results to approximate

P(C) and P(D). To receive credit you must

explain your answers.

5. On each of four days next week (Monday thru

Thursday), Earl will shoot six free throws. Assume that Earl's shots satisfy the assumptions

of Bernoulli trials with p = 0.37.

(a) Compute the probability that on any particular day Earl obtains exactly two successes. For future reference, if Earl obtains exactly two successes on any particular day, then we say that the event "Brad"

has occurred.

(b) Refer to part (a). Compute the probability

that: next week Brad will occur on Monday and Thursday and will not occur on

Tuesday and Wednesday. (Note: You are

being asked to compute one probability.)

16. On each of four days next week (Monday thru

Thursday), Dan will shoot five free throws. Assume that Dan's shots satisfy the assumptions

of Bernoulli trials with p = 0.74.

(a) Compute the probability that on any particular day Dan obtains exactly three successes. For future reference, if Dan obtains exactly three successes on any particular day, then we say that the event "Mel"

has occurred.

(b) Refer to part (a). Compute the probability that: next week Mel will occur exactly

once and that one occurrence will be on

Monday. (Note: You are being asked to

compute one probability.)

17. Alex and Bruce each perform 200 dichotomous

trials. A success is the desirable outcome; it requires more skill than does a failure. You are

given the following information.

? Each of the men achieves exactly 90 successes.

? Alex exhibited evidence of improving

skill over time; and Bruce exhibited evidence of declining skill over time.

4. In the 1980s in Canada, 52% of adult men smoked. It was estimated that male smokers had a lifetime probability of 17.2% of developing lung cancer, whereas a nonsmoker had a 1.3% chance of getting lung cancer during his life (Villeneuve and Mao 1994). a) What is the conditional probability of a Canadian man getting cancer, given that he smoked in the 1980s? b) Draw a probability tree to show the probability of getting lung cancer conditional on smoking. c) Using the tree, calculate the probability that a Canadian man in the 1980s both smoked and eventually contracted lung cancer. d) Using the general multiplication rule, calculate the probability that a Canadian man in the 1980s both smoked and eventually contracted lung cancer. Did you get the same answer as in (c)? e) Using the general multiplication rule, calculate the probability that a Canadian man in the 1980s both did not smoke and never contracted lung cancer.57% (4 points out of 7 duction Objective 1 Objective 2 Objective 2: Compute Probabilities Using the General Multiplication Rule 5.4 Conditional Probability and the General Multiplication Rule 5.4.39 0 of 1 Point i Question Help Suppose that a computer chip company has just shipped 5,000 computer chips to a computer company. Unfortunately, 60 of the chips are defective (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) The probability that the first randomly selected chip is defective is 5 non =0.012 =12% Compute the probability that two randomly selected chips are defective under the assumption of independent events. (a) The probability is (Round to eight decimalplaces as needed ) Enter your answer in the answer box and then click Check Answer parts remaining Type here to search. / OBy rewriting the formula for the multiplication rule, you can write a formula for finding conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P( B The probability that an airplane flight departs on time is 0.91. The probability that a flight arrives on time is 0.87. The probability that a flight departs and arrives on time is 0.82. The probability that a flight departed on time given that it arrives on time is (Round to the nearest thousandth as needed.)3.2.3 Multiplication rule and Independent and mutually exclusive events Use the multiplication rule for conditional probabilities Question The probability that a child watches cartoons after school is 0.56. The probability that the child requests a certain toy of a cartoon character given that the child watches cartoons after school is 0.89. What is the probability that a child will request a toy and watch cartoons after school? Give your answer as a percent, rounded to two decimal places if necessary. Provide your answer below: % FEEDBACK MORE INSTRUCTION