A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let 2 be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has be proposed. S(x) = " for e = 1, 2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(a) 20 (5.1) Ef(#) = 1 (5.2) Does this probability distribution satisfy equation (5.1)? - Select your answer- Does this probability distribution satisfy equation (5.2)? - Select your answer- b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?

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Q: 2

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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!