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Probability using the discrete probability distribution. A psychologist determined that the number of sessions required to obtain the trust of a new patient is 1, 2, and 3. Let x be the random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. p(x) = for x=1, 2, or 3
a) Is this probability function valid? Explain
b) What is the probability that it takes exactly 2 sessions to gain the patient's trust?
c) What is probability that it takes at least 2 sessions to gain the patient's trust?
At 95% confidence using the p- value approach, test the hypotheses. Let α = 0.1.
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Compute mean x and standard deviation s of data above. Calculate Ho by using traditional/classical method.
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Questions based on binomial distribution, variance of the binomial distribution, discrete random variable and continuous random variables.
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