he National Institute of Mental Health reports that there is a 20% chance of an adult American suffering from a psychiatric disorder. Four randomly selected adult Americans are examined for psychiatric disorders. Let the number of adults who suffers from psychiatric disaster be represented by the random variable, X n = p = (Round to 4 decimal places) 1 – p = (Round to 4 decimal places) Prepare the probability distribution for the random variable X. Complete the following table. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. X = x P(X = x) 0 1 2 3 4 ∑=1.0000∑=1.0000 Calculate the probability that EXACTLY three adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(X = 3) = 6. Calculate the probability that AT LEAST one adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(X ≥ 1) = 7. Calculate the probability that AT MOST three adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(X ≤ 3) = 8. Calculate the probability that BETWEEN one and three adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(1 < X < 3) = 9.Calculate the probability that BETWEEN one and four (INCLUSIVE) adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(1 ≤ X ≤ 4) = 10.Calculate the probability that more than one but no more than four adult American suffer from a psychiatric disorder Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(1 < X ≤ 4) = 11. Calculate the mean of the random variable X. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. E(X) = µ = 12. Calculate the variance of the random variable X. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. σ2 = 13. Calculate the standard deviation of the random variable X. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. σ=

he National Institute of Mental Health reports that there is a 20% chance of an adult American suffering from a psychiatric disorder. Four randomly selected adult Americans are examined for psychiatric disorders. Let the number of adults who suffers from psychiatric disaster be represented by the random variable, X n = p = (Round to 4 decimal places) 1 – p = (Round to 4 decimal places) Prepare the probability distribution for the random variable X. Complete the following table. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. X = x P(X = x) 0 1 2 3 4 ∑=1.0000∑=1.0000 Calculate the probability that EXACTLY three adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(X = 3) = 6. Calculate the probability that AT LEAST one adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(X ≥ 1) = 7. Calculate the probability that AT MOST three adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(X ≤ 3) = 8. Calculate the probability that BETWEEN one and three adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(1 < X < 3) = 9.Calculate the probability that BETWEEN one and four (INCLUSIVE) adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(1 ≤ X ≤ 4) = 10.Calculate the probability that more than one but no more than four adult American suffer from a psychiatric disorder Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. P(1 < X ≤ 4) = 11. Calculate the mean of the random variable X. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. E(X) = µ = 12. Calculate the variance of the random variable X. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. σ2 = 13. Calculate the standard deviation of the random variable X. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX. σ=

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The National Institute of Mental Health reports that there is a 20% chance of an adult American suffering from a psychiatric disorder. Four randomly selected adult Americans are examined for psychiatric disorders. Let the number of adults who suffers from psychiatric disaster be represented by the random variable, X

n =
p = (Round to 4 decimal places)
1 – p = (Round to 4 decimal places)
Prepare the probability distribution for the random variable X. Complete the following table. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX.

X = x P(X = x)

0

1

2

3

4

∑=1.0000∑=1.0000
Calculate the probability that EXACTLY three adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX.

P(X = 3) =

6. Calculate the probability that AT LEAST one adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX.

P(X ≥ 1) =

7. Calculate the probability that AT MOST three adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX.

P(X ≤ 3) =

8. Calculate the probability that BETWEEN one and three adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX.

P(1 < X < 3) =

9.Calculate the probability that BETWEEN one and four (INCLUSIVE) adult American suffer from a psychiatric disorder. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX.

P(1 ≤ X ≤ 4) =

10.Calculate the probability that more than one but no more than four adult American suffer from a psychiatric disorder Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX.

P(1 < X ≤ 4) =

11. Calculate the mean of the random variable X. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX.

E(X) = µ =

12. Calculate the variance of the random variable X. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX.

σ² =

13. Calculate the standard deviation of the random variable X. Round your answers to 4 decimal places e.g. 0.XXXX or .XXXX.

σ=

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