SOLUTION: I ask for your help with the problems listed that I have for homework that I do not understand. Thank you. 6. A student is taking two courses, history and math. The probability

Question 58877This question is from textbook
: I ask for your help with the problems listed that I have for homework that I do not understand. Thank you.
6. A student is taking two courses, history and math. The probability the student will pass the history course is .60, and the probability of passing the math course is .70. The probability of passing both is .50. What is the probability of passing at least one?

Ch. 2
A recent study of home technologies reported the number of hours of personal computer usage per week for a sample of 60 persons. Excluded from the study were people who worked out of their home and used the computer as a part of their work.
9.3 5.3 6.3 8.8 6.5 0.6 5.2 6.6 9.3 4.3
6.3 2.1 2.7 0.4 3.7 3.3 1.1 2.7 6.7 6.5
4.3 9.7 7.7 5.2 1.7 8.5 4.2 5.5 5.1 5.6
5.4 4.8 2.1 10.1 1.3 5.6 2.4 2.4 4.7 1.7
22.0 6.7 1.1 6.7 2.2 2.6 9.8 6.4 4.9 5.2
4.5 9.3 7.9 4.6 4.3 4.5 9.2 8.5 6.0 8.1
a. Organize the data into a frequency distribution. How many classes would you suggest? What value would you suggest for a class interval?
Ch.3
1. The annual incomes of the five vice presidents of TMV Industries are: $125,000; $128,000; $122,000; $133,000; and $140,000. Consider this a population.
1. What is the range?
2. What is the arithmetic mean income?
3. What is the population variance? The standard deviation?
4. The annual incomes of officers of another firm similar to TMV Industries were also studied. The mean was $129,000 and the standard deviation $8,612. Compare the means and dispersions in the two firms.
Ch.4
1. Listed below are the salaries, in $000, for a sample of 15 chief financial officers in the electronics industry.
$516.0 $548.0 $566.0 $534.0 $586.0 $529.0
546.0 523.0 538.0 523.0 551.0 552.0
486.0 558.0 574.0
This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
6. A student is taking two courses, history and math. The probability the student will pass the history course is .60, and the probability of passing the math course is .70. The probability of passing both is .50. What is the probability of passing at least one?
P(X>=1)= 1 - P(X=0)
=1 - 0.4*0.3
=1-0.12
=0.88
-------------
Ch. 2
A recent study of home technologies reported the number of hours of personal computer usage per week for a sample of 60 persons. Excluded from the study were people who worked out of their home and used the computer as a part of their work.
9.3 5.3 6.3 8.8 6.5 0.6 5.2 6.6 9.3 4.3
6.3 2.1 2.7 0.4 3.7 3.3 1.1 2.7 6.7 6.5
4.3 9.7 7.7 5.2 1.7 8.5 4.2 5.5 5.1 5.6
5.4 4.8 2.1 10.1 1.3 5.6 2.4 2.4 4.7 1.7
22.0 6.7 1.1 6.7 2.2 2.6 9.8 6.4 4.9 5.2
4.5 9.3 7.9 4.6 4.3 4.5 9.2 8.5 6.0 8.1
a. Organize the data into a frequency distribution. How many classes would you suggest? What value would you suggest for a class interval?
I used a TI-83 and it generated 8 classes with class interval
of three. Min is 0.4 and Max is 22.
--------------------------
Ch.3
1. The annual incomes of the five vice presidents of TMV Industries are: $125,000; $128,000; $122,000; $133,000; and $140,000. Consider this a population.
1. What is the range?
140000-12200=1800
2. What is the arithmetic mean income?
Add them up and divide by 5 to get 129600
3. What is the population variance?
6343.50061^2=40,240,000

The standard deviation?
6343.50061
------------------
4. The annual incomes of officers of another firm similar to TMV Industries were also studied. The mean was $129,000 and the standard deviation $8,612. Compare the means and dispersions in the two firms.
The means are quite close; the standard deviation for TMV is quite
a bit larger indicating more of a spread of officer incomes.
--------------------
Ch.4
1. Listed below are the salaries, in $000, for a sample of 15 chief financial officers in the electronics industry.
$516.0 $548.0 $566.0 $534.0 $586.0 $529.0
546.0 523.0 538.0 523.0 551.0 552.0
486.0 558.0 574.0
Yes????
Cheers,
Stan H.

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