Provide an appropriate response.The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. Age at Retirement 
Suppose one of these people is selected at random. Find the probability that the person selected was an attorney. Then find the probability that the person selected was an attorney given that the person retired between 61 and 65. Are the events "attorney" and "retirement between 61 and 65" independent? How can you tell?
What will be an ideal response?
P(Attorney) = 0.232; P(Attorney|retired between 61 and 65) = 0.256
No; P(Attorney) ? P(Attorney|retired between 61 and 65)
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Which of the following is not true about permutations? ?
A. Order matters. The arrangement AB is a different result than BA. B. Drawing a picture of all possible outcomes, to help you find the probability of an event, is conceivable in certain situations. C. Finding the probability of selecting candidates for the positions: secretary, treasurer, and administration assistant requires the use of permutation. D. Find the probability of selecting candidates for five administrate assistant positions requires the use of permutation. E. ?None of the above.
Find the average value of the function f over the given region.f(x, y) = ex2 over the region bounded by 
, 
, 
, and 
.
A. 2e - 1
B. e - 1
C. 
D. 
Evaluate the integral. 
A. 
- 
ln 
+ C
B. 
+ 
sin-1 
+ C
C. 
+ 
sin-1 
+ C
D. sin-1 
+ C
Solve the exponential equation. For irrational solutions, round to four decimal places.31 + 2x = 27
A. {1} B. {3} C. {-1} D. {9}