Problem #13: Consider the data set summarized in the histograms below. [2 Mars) Weights of Females Weights of Males Frequency Frequency 6 6 5 O 0 0 O O 80 100 120 140 160 180 200 220 240 80 100 120 140 160 180 200 220 240 Weight Weight If a person is randomly selected from this data set, find the probability that they weigh less than 140 pounds, given that they are male. Enter your answer as an exact fraction. e.g., 131/213 Enter your answer symbolically, Problem #13: as in these examples SaveProblem #11: A study of surgeries in the U.K. found that 4.8% of surgeries were followed by surgical site infections. If 17 [2 marks] surgeries are performed, find the probability that exactly 3 will be followed by surgical site infections. Problem #11: answer correct to 4 decimals Save Problem #12: Nine percent of men and 0.25% of women cannot distinguish between the colors red and green. This is the type of color blindness that causes problems with traffic signals. [2 marks] (a) In a group of 270 men, find the mean number that are color blind. (b) In a group of 270 men, find the standard deviation of the number that are color blind. Problem # 12(a): answer correct to 2 decimals Problem # 12(b): answer correct to 2 decimalsProblem #10: The percentage of adults who have at some point in their life been told that they have hypertension is 23.53%. [2 marks] In a sample of 10 adults, let X be the number who have been told that they have hypertension. Consider the following probability distribution for X. X P(x) 0 ? ? 2 ? 3 ? 4 ? 5 6 0.0122 7 0.0021 8 0.0002 9 0.0000 10 0.0000 Suppose that a group of 10 adults are randomly selected, and 6 of them have been told that they have hypertension. Is this a significantly high number that would suggest that the given percentage of adults who have been told that they have hypertension (i.e., 23.53%) is not correct? (A) No, because 6 is not a lot more than expected. (B) No, because 0.0475 is less than .05. (C) Yes, because 6 is a lot more than expected. (D) Yes, because 0.0145 is less than .05. (E) No, because 0.0122 is less than .05. (F) Yes, because 0.0475 is less than .05. (G) No, because 0.0145 is less than .05. (H) Yes, because 0.0122 is less than .05. Problem # 10: Select