The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. E Click the icon to view the table. Use the range rule of thumb to identify a range of values that are not significant. The maximum value in this range is girls. one decimal place as needed.) (Round t
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The number of girls with their associated probabilities is shown below
| x | P (X = x) |
| 0 | 0.002 |
| 1 | 0.017 |
| 2 | 0.044 |
| 3 | 0.115 |
| 4 | 0.197 |
| 5 | 0.241 |
| 6 | 0.195 |
| 7 | 0.112 |
| 8 | 0.042 |
| 9 | 0.012 |
| 10 | 0.023 |
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