A business graduate wants to get a job in any one of the top 10 accounting firms. Applying to any of these companies requires a lot of effort and paperwork and is therefore costly. She estimates the cost of applying to each of the 10 companies and the probability of getting a job offer there. These data are tabulated below. The tabulation is in the decreasing order of cost.
Company
1
2
3
4
5
6
7
8
9
10
Cost
$870
$600
$540
$500
$400
$320
$300
$230
$200
$170
Probability
0.38
0.35
0.28
0.20
0.18
0.18
0.17
0.14
0.14
0.08
a. If the graduate applies to all 10 companies, what is the probability that she will get at least one offer? [3 marks]
b. If she can apply to only one company, based on cost and success probability criteria alone, should she apply to company 5? Why or why not? [2 marks]
c. If she is willing to spend $1,500, to which companies should she apply to maximize her chances of getting at least one job? (This is a trial-and-error problem.) [4 marks]
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What is the difference between dominant and recessive traits? Dominant traits are always expressed when the connected allele is dominant, even if only one copy of the dominant trait exists. Recessive traits are expressed only if both the connected alleles are recessive.
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