Nineteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, seven of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to aparticular examiner, and let X be the number among the six who are taking the test for the first time.(a) What kind of a distribution does X have (name and values of all parameters)?h(x; 6, 7, 19)7h(x; 6,197-)b(x; 6,19nb(x; 6, 7, 19)7nb(x; 6,19b(x; 6, 7, 19)(b) Compute P(X = 2), P(X < 2), and P(X > 2). (Round your answers to four decimal places.)P(X = 2) =P(X < 2) =P(X > 2) =(c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.)meanindividualsstandard deviationindividuals

Answered: neteen individuals are scheduled to…

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

Nineteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, seven of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a
particular examiner, and let X be the number among the six who are taking the test for the first time.
(a) What kind of a distribution does X have (name and values of all parameters)?
h(x; 6, 7, 19)
7
h(x; 6,
19
7
-)
b(x; 6,
19
nb(x; 6, 7, 19)
7
nb(x; 6,
19
b(x; 6, 7, 19)
(b) Compute P(X = 2), P(X < 2), and P(X > 2). (Round your answers to four decimal places.)
P(X = 2) =
P(X < 2) =
P(X > 2) =
(c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.)
mean
individuals
standard deviation
individuals

Expert Solution

Step 1 : Introduction

Hyper geometric distribution :

In statistics, a hyper geometric distribution is a distribution function in which members of two groups are selected without being replaced.
As a result, random sampling for statistical quality control is frequently used.

The hyper geometric distribution can be used to solve sampling problems like the probability of selecting a damaged part from a box (without returning parts to the box for the next trial).
Under these circumstances, the hyper geometric distribution is used:
The total number of things (population) remains constant