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11. M&M candies have a mean weight of 0.885 grams and a standard deviation of 0.055 grams. If 465 M&M candies are randomly selected, find the probability that their mean weight is more than 0.880 grams. Hint: 11. Extra Credit: A couple in my neighborhood has ten children, of which only one is a girl. (3 points) Decide, using a probability distribution, whether it is unusual for only one girl to be born in ten births. Use complete sentences to substantiate your answer.10. Weights of paper discarded by households each week are normally distributed with a mean xix! z-value formula: : : X-value = 10 + p 0' (round 2 scores to the hundredths) (round x-values to the given value) (round probabilities to three significant digits) According to thepoultrysitecom, the weights of broilers (commercially raised chickens) are approximately normally distributed with a mean of 1397 grams and a standard deviation of 171 grams. Find the probability that: one of these chickens would weigh between 1130 and 1290 grams. 9A. one of these chickens would weigh more than 1500 grams. 9B. . Would you consider it unusual for a broiler to weigh more than 1500 grams? Use a complete sentence or two to explain why or why not. of 23.4 pounds and a standard deviation of 4.2 pounds. Find the highest weight of discarded paper that is in the bottom 25%. You must show the x-value formula. 10. 7. The American Chemical Society believes that there is a 79% chance that in the United States any randomly selected dollar bill is tainted with traces of cocaine. Assume that 15 dollar bills are randomly selected. Find the probability that: A. at the most 5 of them have traces of cocaine. B. fewer than ten of them will have traces of cocaine. C. more than seven of them will have traces of cocaine. 8a. The number of occupants in a randomly chosen car on I-4 during rush hour during morning hours is listed below. Create a probability distribution table to represent the data. Round to the thousandths. Number of Occupants Number of Cars 398 105 31 16 10 2 X P(x ) 8b. USE THE TABLE THAT YOU CREATED ABOVE TO ANSWER THE FOLLOWING QUESTIONS: A. Find the probability that a randomly chosen car had 3 occupants. B. Find the probability that a randomly chosen car had at least 4 occupants. C. Find the probability that a randomly chosen car had at most 3 occupants. D. Find the probability that a randomly chosen car had 2 occupants.5. A sTudy of The consumer smoking habiTs of 450 consumers includes The informaTion given below in The Table. Use The Table To answer The quesTions below. Round all answers To Three significanT figures. MARRIED DIVORCED NEVER MARRIED TOTAL SMOKE \" 205 DO NOT SMOKE 147 65 33 245 TOTAL 200 200 50 450 A. If a subjecT is randomly selecTed from This sample, find The probabiIiTy of geTTing someone who is divorced. A. B. If a subjecT is randomly selecTed from This sample, find The probabiIiTy of geTTing someone who does noT smoke. B. C. Given ThaT subjecT selecTed does noT smoke, find The prababiliTy of geTTing someone who is married. C. D. Given ThaT The subjecT is divorced, find The probabiliTy of geTTing someone who smokes. *Use your graphing calculaTor To find and Then wriTe each of The following probabiIiTies, To Three significanT digiTs, on The line provided afTer each problem. 6. A Harris inTeracTive poll deTermined ThaT 33% of adulTs believe in reincarnaTion. Assume ThaT 8 adulTs are randomly selecTed. Find The probabiIiTy ThaT: A. aT leasT four of The adulTs believe in reincarnaTion B. none of The adulTs believe in reincarnaTion C. more Than Two of The adulTs believe in reincarnaTion Round all probabilities questions to three significant figures. Show all work. Write your final answer on the answer line. In a group of 257 executives, 189 have a type A personality. If one executive is selected at random from this group, what is the probability that this executive has a type A personality? If the probability that it will snow tomorrow in Denver is 0212, then what is the probability that it will not snow tomorrow in Denver? You have a box of chocolates that you bought your sweetheart just for fun. OH NO! You have a sudden urge to eat chocolate and open the box. If there are 25 solid chocolates and 12 \"filled" chocolates in the box, and you pick one randomly (eyes closed?) from the box, what is the probability it will be a solid chocolate? Find the indicated area under the standard normal curve for each of the following. Draw a normal curve, label ONLY your z-score, and shade in the appropriate area. Write your answer as a p-value rounded to 3 significant figures and then circle it. A. To the left of z = 1.56 B. To the right of z = -2.16 C. Between -2.79 and 0.75 D. Between 2 = -1.33 and z = 2.18