them You probabilities. 4.83 Randomly selected 2000 adults were asked whether or not they have ever shopped on the Inter net. The following table gives a two-way classification of the responses obtained. Have Shopped Have Never Shopped Male 300 900 Female 200 600 a. Suppose one adult is selected at random from these 2000 adults. Find the followine probabilities. i. P(has never shopped on the Internet and is a male) ii. P(has shopped on the Internet and is a female) b. Mention what other joint prohahilitien

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Chapter1: Combinatorial Analysis
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a tree diagram to find these probabilities.
4.83 Randomly selected 2000 adults were asked whether or not they have ever shopped on the tr
Tör this table and then find them. Yo
net. The following table gives a two-way classification of the responses obtained.
Have Shopped
Have Never Shopped
Male
300
900
Female
200
600
a. Suppose one adult is selected at random from these 2000 adults. Find the followine
probabilities.
i. P(has never shopped on the Internet and is a male)
ii. P(has shopped on the Internet and is a female)
b. Mention what other joint probabilities you can calculate for this table and then find those. You
may draw a tree diagram to find these probabilities.
4.84 A consumer agency randomly selected 1700 flights for two major airlines, A and B. The follow-
ing table gives the two-way classification of these flights based on airline and arrival time. Note that
"less than 30 minutes late" includes flights that arrived early or on time.
Less Than 30
30 Minutes to
More Than
Minutes Late
1 Hour Late
1 Hour Late
Airline A
429
390
92
Airline B
393
316
80
a. Suppose one flight is selected at random from these 1700 flights. Find the following probabilities
i. P(more than 1 hour late and on airline A)
ii. P(on airline B and less than 30 minutes late)
b. Find the joint probability of events "30 minutes to 1 hour late" and "more than 1 hour late.
Is this probability zero? Explain why or why not.
Transcribed Image Text:a tree diagram to find these probabilities. 4.83 Randomly selected 2000 adults were asked whether or not they have ever shopped on the tr Tör this table and then find them. Yo net. The following table gives a two-way classification of the responses obtained. Have Shopped Have Never Shopped Male 300 900 Female 200 600 a. Suppose one adult is selected at random from these 2000 adults. Find the followine probabilities. i. P(has never shopped on the Internet and is a male) ii. P(has shopped on the Internet and is a female) b. Mention what other joint probabilities you can calculate for this table and then find those. You may draw a tree diagram to find these probabilities. 4.84 A consumer agency randomly selected 1700 flights for two major airlines, A and B. The follow- ing table gives the two-way classification of these flights based on airline and arrival time. Note that "less than 30 minutes late" includes flights that arrived early or on time. Less Than 30 30 Minutes to More Than Minutes Late 1 Hour Late 1 Hour Late Airline A 429 390 92 Airline B 393 316 80 a. Suppose one flight is selected at random from these 1700 flights. Find the following probabilities i. P(more than 1 hour late and on airline A) ii. P(on airline B and less than 30 minutes late) b. Find the joint probability of events "30 minutes to 1 hour late" and "more than 1 hour late. Is this probability zero? Explain why or why not.
Table 4.7 gives the classification of all employees of a company by gender and colleg
EXAMPLE 4-23
joint
rents:
cable.
degree.
Table 4.7 Classification of Employees by Gender and Education
College
Not a College
Graduate
Graduate
(G)
(N)
Total
Male (M)
7
20
27
Female (F)
4
13
Total
11
29
40
If one of these employees is selected at random for membership on the employee-
management committee, what is the probability that this employee is a female and a
college graduate?
Transcribed Image Text:Table 4.7 gives the classification of all employees of a company by gender and colleg EXAMPLE 4-23 joint rents: cable. degree. Table 4.7 Classification of Employees by Gender and Education College Not a College Graduate Graduate (G) (N) Total Male (M) 7 20 27 Female (F) 4 13 Total 11 29 40 If one of these employees is selected at random for membership on the employee- management committee, what is the probability that this employee is a female and a college graduate?
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