A study has shown that in a large city, 70% of all families buy take-away food once a month. If 10 families are randomly selected and let X be the number of families who buy takeaway food once a month, what is the probability that exactly 5 families will buy take-away food once a month? You can use the following Table for your calculations: Culmulative Binomial Probabilities: Bin(n=20, p=0.7) x P(x s x) x pix s x) 0 0.000 6 0.350 1 0.000 7 0.617 2 0.002 8 0.851 3 0.011 9 0.972 4 0.047 10 1.000 5 0.150 O 0.114 O 0.231 (\".0102 John has 5 business suits and will travel to Sydney for a business convention the first 3 days of next week. How many ways can he choose suits for Monday, Tuesday and Wednesday if he is willing to wear the same suit repeatedly? O 100 O 120 O 115 O 125 130Question 11 1 pts A set of measurements is as follows: 11, 14, 16, 18, 25, 31. Calculate the sample mean. 0 1866 O 1766 O 1515 O 28.33 0 19.17 The ages of a sample of 85 participants in a survey are summarized as a frequency distribution as shown in the table below: Class Class Cumulative Interval frequency frequency (0, 5] 6 6 {5, 10] 7 13 (10, 15] 17 30 (15, 20] 23 53 (20, 25] 13 71 (2.5, 30] 10 (30, 35] 4 35 What is the median class? C) (5, 10] Q (15, 20] O (10, 15] Q (20, 25] Q (25, 30] \fQuestion 9 1 pts Find the Q3 (or 75'Eh Percentile) for the following data (sorted in ascending order): 11, 14, 18, 20, 25, 31