SOLUTION: A corporation is evaluating a proposed merger. The board of directors surveyed 55 stockholders concerning their position on the merger. The results are reported below: (Round the f

Algebra ->  Probability-and-statistics -> SOLUTION: A corporation is evaluating a proposed merger. The board of directors surveyed 55 stockholders concerning their position on the merger. The results are reported below: (Round the f      Log On


   

Question 1068020: A corporation is evaluating a proposed merger. The board of directors surveyed 55 stockholders concerning their position on the merger. The results are reported below: (Round the final answers to 1 decimal place.)
Opinion
Number of Shares Held Favour Opposed Undecided Total
Under 200 7 5 4 16
200 to under 1000 5 9 3 17
1000 or more 7 12 3 22
Total 19 26 10 55

a. What is the probability that a stockholder holds 1000 or more shares?

Probability

b. What is the probability that a stockholder holds less than 200 shares and is in favour of the merger?

Probability

c. What is the probability that a stockholder holds between 200 to under 1000 shares or is opposed to the merger?

Probability
%

d. What is the probability that a stockholder holds under 200 shares given that he/she is opposed to the merger?

Probability
%
Found 2 solutions by Boreal, stanbon:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Number of Shares Held Favour Opposed Undecided Total
Under 200 7 5 4 16
200 to under 1000 5 9 3 17
1000 or more 7 12 3 22
Total 19 26 10 55
a. It is 22/55 or 0.40.
b.It is 7/55
c.It is 9/55
d. Given they are opposed (26), 5 have fewer than 200 shares (5/26).

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A corporation is evaluating a proposed merger. The board of directors surveyed 55 stockholders concerning their position on the merger. The results are reported below: (Round the final answers to 1 decimal place.)
Opinion
Number of Shares Held Favour Opposed Undecided Total
Under 200 7 5 4 16
200 to under 1000 5 9 3 17
1000 or more 7 12 3 22
Total 19 26 10 55

a. What is the probability that a stockholder holds 1000 or more shares?
Probability = 22/55
b. What is the probability that a stockholder holds less than 200 shares and is in favour of the merger? Probability = 7/55
c. What is the probability that a stockholder holds between 200 to under 1000 shares or is opposed to the merger? Probability = (16+26-5)/55 = 37/55
d. What is the probability that a stockholder holds under 200 shares given that he/she is opposed to the merger? Probability(<200 | against merger)
= 5/26
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Cheers,
Stan H.
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