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Draws are made at random with replacement from a box of colored balls with the following compositions:
Color
Red
Blue
Green
Yellow
Proportion
0.1
0.2
0.3
0.4
Write down and justify unsimplified expressions for the probabilities of the following events:
a) Exactly 5 yellow balls appear in 20 draws:
b) Exactly 2 red, 4 blue, 6 green and 8 yellow balls appear in 20 draws:
c) The number of draws required to produce 3 red balls is 25:
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Based on the equation of the least-squares line, we use software to predict the average number of home runs hit per game per team for the year 2001. We obtain the following.
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Which sampling distribution should be used and? why? State the appropriate hypotheses to test.
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a manufacturer produces two types of computer monitors monochrome and color. past sales experience shows that at least
What is the probability that a red ball will be chosen? If we randomly select 5 balls with replacement, what is the probability distributon of x-the neumber of red balls in the sample?
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As discussed in the text, it often is possible to use a theoretical distribution as an approx imation of the distribution of some sample data. It is always important, however, to check to make sure that your data really do fit the distribution you..
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