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A sample of size 40 yields the following sorted data. Note that I have x-ed out x(39) (the second largest number). This fact will NOT prevent you from answering the questions below.
(a) Calculate range, IQR, and median of these data.
(b) Given that the mean of these data is 63.50 (exactly) and the standard deviation is 12.33, what proportion of the data lie within one standard deviation of the mean?
(c) How does your answer to (b) compare to the empirical rule approximation?
(d) Ralph decides to delete the smallest observation, 14.1, from these data. Thus, Ralph has a data set with n = 39. Calculate the range, IQR, and median of Ralph’s new data set.
(e) Refer to (d). Calculate the mean of Ralph’s new data set.
9. Identify why this assignment of probabilities can not be legitimate.
a. P(A & B) can not be greater than either P(A) or P(B).
b. A and B are not given as mutually exclusive events.
c. P(A|B) is not known.
d. A and B are not given as independent events.
e. none of these.
10. Suppose a box contains 3 detective light bulbs and 12 good bulbs. Two bulbs are chosen from the box without replacement. Find the probability that one of the bulbs drawn is good and one is defective.
A. 12/35
B. 6/35
C. 3/14
D. 3/70
E. None of these
Given: 1000 IC chips with 10 being defective
If 2 are selected at random without replacement
Let event A be that the 1st chip slection is defective
Let event B be that the 2nd chip is defective
Determine the probability of event B given that the 1st chip is NOT defective
(a) 0.01001
(b) 0.009009
(c) 0.0001
(d) 0.01000