1011121314151617181920212223242526 FIG.6:Histogram for the distribution while N(17),for instance,is zero.The total number of people in the room is N-∑NO) j=0 Questions about the distribution 1.If you selected one individual at random from this group,what is the probability that this person's age would be 15?Answer:One chance in 14,since there are 14 possible choices,all equally likely,of whom only one has this particular age.In general the probability of getting age j is PU)= Notice that the probability of getting either14 or 15 is the sum of the individual probabilities (in this case,1/7).In particular,the sum of all the probabilities is 1- you're certain to get some age: P0)=1 j=0 2.What is the most probable age?Answer:25.In general the most probable j is the j for which P(j)is a maximum. 3.What is the median age?Answer:23,for 7 people are younger than 23,and 7 are older.In general,the median is that value of j such that the probability of getting a larger result is the same as the probability of getting a smaller result. 4.What is the average (or mean)age?Answer: (14+(15+3(16)+222+2(24+52-294=21 14 14 12 FIG. 6: Histogram for the distribution. while N(17), for instance, is zero. The total number of people in the room is N = X∞ j=0 N(j) Questions about the distribution 1. If you selected one individual at random from this group, what is the probability that this person’s age would be 15? Answer : One chance in 14, since there are 14 possible choices, all equally likely, of whom only one has this particular age. In general the probability of getting age j is P(j) = N(j) N Notice that the probability of getting either 14 or 15 is the sum of the individual probabilities (in this case, 1/7). In particular, the sum of all the probabilities is 1 - you’re certain to get some age: X∞ j=0 P(j) = 1 2. What is the most probable age? Answer : 25. In general the most probable j is the j for which P(j) is a maximum. 3. What is the median age? Answer : 23, for 7 people are younger than 23, and 7 are older. In general, the median is that value of j such that the probability of getting a larger result is the same as the probability of getting a smaller result. 4. What is the average (or mean) age? Answer: (14) + (15) + 3 (16) + 2 (22) + 2 (24) + 5 (25) 14 = 294 14 = 21 12