ANSWER ALL PARTS

1. A civil engineer took nine measurements of compressive strength of concrete, obtaining the following data: 2216 2237 2249 2204 2225 2301 2206 2314 2238. (a) (4 points) Determine :73, the sample mean. (b) (4 points) Determine s, the sample standard deviation. (c) (4 points) Determine the ve-number summary associated with this data set, using the convention we used in class. 2. (8 points) Suppose that 53% of a sophomore class are boys. If 40% of this class are honor students and 73% are either honor students or boys, what is the probability that a student chosen at random is a male honor student? 3. (8 points) A fair coin (a coin with two sides, H for heads and T for tail, that are equally likely to occur) is tossed until a head appears once or a total of three tails have appeared. Flips of the coin are independent. a Let X represent the number Of tails that occur in the ex eriment. Determine the p probabllity mass function Of X. (b) Let Y represent the number of heads that occur in the experiment. Determine the probability mass function of Y