Math

ProbabilityQ&A LibraryQuiz #10Name:I. The National institute of Mentai Health reports that there is a 30% chance of an aduit Americansuffering from a psychiatric disorder Three randomly selected adult Americans are examined for aPsychiatric disorders.aIf you let a success correspond to an aduit American having a psychiatric disorder, what is theSUCcess probability, p? (Note: The use if the word success in Bernaulli triais need nor reflect itsusually positive connotation.)PISuccess naving the psychiatric disorder)bConstruct a probability distribution table for three people examined using Binomial distribution.Let X be the number of adults who are suffering from the psychiatric disorder12TotalProbDetermine the mean and variance for the distribution.c)Question

Asked Sep 28, 2019

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I missed my lecture today and i have no idea how to solve this problem.

Step 1

**Binomial distribution:**

It is a discrete probability distribution that has exactly two outcomes for the experiment with probability of success, *p *and probability of failure, *q*. In binomial experiment, the probability of success over different trials remains constant. The probability distribution of binomial distribution is as follows:

Step 2

**a) Success probability p:**

It is given that 30% chance of an adult American suffering from a psychiatric disorder.

Here, *n* = 3.

The probability of success *p* corresponds to an adult American having a psychiatric disorder is obtained as ** p = 0.3, **from the calculation given below.

Step 3

**b) Probability distribution table for three people examined using Binomial distribution:**

Here, *x *denotes the number of adults who are suffering from the psychiat...

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