According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 . Suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) What is the probability that among 12 randomly observed individuals exactly 6 do not cover their mouth when sneezing?

(b) What is the probability that among 12 randomly observed individuals fewer than 4 do not cover their mouth when sneezing?

(c) Would you be surprised if, after observing 12 individuals, fewer than half covered their mouth when sneezing? Why?

(a) The probability that exactly 6 individuals do not cover their mouth is

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(Round to four decimal places as needed.)

(b) The probability that fewer than 4 individuals do not cover their mouth is

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(Round to four decimal places as needed.)

(c) Fewer than half of 12 indiv

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?