P(x) O 0.645 When conducting research on color blindness in males, a researcher X forms random groups with five males in each group. The random variable 1 0. x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. 0.297 2 0.052 0.005 0.001 4 0.000 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the random variable x is categorical instead of numerical. O C. No, the sum of all the probabilities is not equal to 1. Ques D. No, the random variable x's number values are not associated with probabilities. E. No, not every probability is between 0 and 1 inclusive.
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!
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