A discrete variable X can take on integer values of 1 to 10. A sample of size 50 results in the following probability estimates:
 FIGURE 1.png)
(a) Write out and graph the cumulative distribution.
(b) Calculate the following probabilities using the cumulative distribution: (1) X is between 6 and 10, and (2) X takes the value 4, 5, or 6.
(c) Use the cumulative distribution to show that P(X = 7 or 8) = 0.0. Even though this probability is zero, the statement about X is that it can take on integer values of 1 to 10. How do you explain the apparent contradiction in these two statements?
 FIGURE 4.png)
(c) P(X = 7 or 8) = F(8) – F(6) = 0.7 – 0.7 = 0.0
No sample values in the 50 have X = 7 or 8. A larger sample is needed to observe all values of X.
You might also like to view...
When demolition is performed, the process creates both solid waste and ----___________________.
Fill in the blank(s) with the appropriate word(s).
Explain the effects of dominant genes over recessive genes
What will be an ideal response?
Which term describes the ability of a material to conduct lines of force?
A. residual magnetism B. retentivity C. permeability D. magnetic saturation
A RTD is used to measure:
a. pressure b. flow c. level d. temperature