Construct a probability distribution and its corresponding histogram. In a club with 20 senior and 10 junior members, a committee of 4 members was chosen. The number of junior members is noted. In a certain animal species, the probability that a healthy adult female will have no offspring in a given year is 0.31, while the probabilities of 1,2,3, or 4 offspring are, respectively, 0.21, 0.19, 0.17, and 0.12. A box contains three 1-peso coins, two 5-peso coins, and five 10-peso coins. Let x represents the value of a single coin drawn at random and then replaced.
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!
Construct a
- In a club with 20 senior and 10 junior members, a committee of 4 members was chosen. The number of junior members is noted.
- In a certain animal species, the probability that a healthy adult female will have no offspring in a given year is 0.31, while the probabilities of 1,2,3, or 4 offspring are, respectively, 0.21, 0.19, 0.17, and 0.12.
- A box contains three 1-peso coins, two 5-peso coins, and five 10-peso coins. Let x represents the value of a single coin drawn at random and then replaced.
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