answer all questions with explanation

3. The output of an instrument is often a waveform. With the goal of developing a numerical measure of closeness, scientists asked 13 experts to look at two waveforms on the same graph and give a number between 0 and 1 to quantify how well the two waveforms agree. The agreement numbers for one pair of waveforms are .55 40 .07 .39 .60 .35 .29 .36 .70 .44 .48 .07 .21 (a) Calculate the sample mean . (b) Calculate the median and the mode. (c) Calculate the sample standard deviation s. 4. A car rental agency has 19 compact cars and 11 intermediate-size cars. If four (4) of the cars are randomly selected for a safety check, what is the probability of getting two of each kind? 5. Alarm units are to be connected at four fixed positions along a pipeline. In how many ways can the eight (8) available alarm units be connected to the eight (8) positions along the line