Lab 5: Birth Times and Birth Weights (Probability Distributions) 1. There are 117 boys and 109 girls, which makes 226 individuals in total. 2. From the table, it took 63 times for one baby to get a boy, 24 times for 2 babies, 16 times for 3 babies, 9 times for 4 babies, 3 times for 5 babies, 1 time for 6 babies, 0 times for 7 and 8 babies, and 1 time for 9 babies. From the table, it took 54 times for one baby to get a girl, 25 times for 2 babies, 18 times for 3 babies, 8 times for 4 babies, 0 times for 5 and 6 babies, 2 times for 7 babies, 1 time for 8 babies, and 0 times for 9 babies.
3. Compared to the answers in question 2, these answers are relatively similar. Some values from this table are greater or smaller than the values in question 2, but overall, they are relatively close. The data definitely roughly agrees between the expected and actual values. 4. The unusual value is for girls, it took 1 time for 14 babies to get a girl. This is just a chance event as geometric distribution measures the first time a success occurs within a number of independent trials and with a specific success probability. It may just be a chance within this certain sample size that it took 14 babies to get a girl. 5. The average number of births per day is 1.477124183006536 births per day. 6. There were 41 days with 0 births.
7. The number of births expected is similar to the actual number of births. There is a slight difference, but overall, the data matches each other. 8. The mean time between births is 16.115688888888897 hours.
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