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Question 4 Assume that the height of individuals follows a normal distribution of mean p = 160 and variance o =100 (fictitious numbers). a) Find the probability that an individual's height is greater than 170. (5 points) b) What is the second decile of height (the value for which 20% of the population is shorter than this value)? (5 points)1:} Suppose you select at random {and independently] 1'30 people from the population described above. What is the probability that the sample average height is greater than 11 ? [6 points] d} If you draw a sample of size n = 41 from the population described in a). what would be the probability that the sample uarianee. s2, is greater than 100'\"? [5 points}