PRACT STAT W/ ACCESS 6MO LOOSELEAF
PRACT STAT W/ ACCESS 6MO LOOSELEAF
4th Edition
ISBN: 9781319215361
Author: BALDI
Publisher: Macmillan Higher Education
Question
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Chapter 16, Problem 16.1CRE

(a)

To determine

To check that the distribution of X satisfies the two requirements for a legitimate discrete probability model.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given:

The following are the birth order probabilities-

PRACT STAT W/ ACCESS 6MO LOOSELEAF, Chapter 16, Problem 16.1CRE , additional homework tip  1

Calculation:

All probabilities are between 0 and 1 . The sum of probabilities is also 1 and therefore account for all possible birth orders (9th or higher birth order being included in the “8” group.

(b)

To determine

To find the probability P(X2) and P(X5) describing in the words.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given:

The following are the birth order probabilities-

PRACT STAT W/ ACCESS 6MO LOOSELEAF, Chapter 16, Problem 16.1CRE , additional homework tip  2

Calculation:

  P(X2) Means the probability of baby’s birth order is less than or equal to 2 .

  P(X>5) Means the probability of baby’s birth order is greater than 5

  P(X2)=P(X=1)+P(X=2)P(X2)=0.391+0.319P(X2)=0.710P(X>5)=P(X=6)+P(X=7)+P(X=8)P(X>5)=0.012+0.005+0.005P(X>5)=0.022

(c)

To determine

To find out the probability of given event.

(c)

Expert Solution
Check Mark

Explanation of Solution

Given:

The given event is-

The probability of event − “A woman gives birth in 2014 to her third child”.

Calculation:

The probability of event − “A woman gives birth in 2014 to her third child”.

  P(X=3)=0.168

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