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Answer:
<em>The current market price for the bond is $903.05</em>
Explanation:
<em>Steps taken to arrive at the current market price of the bond</em>
<em>Recall PV=present value</em>
<em>face value=$1000</em>
<em>percent bond=4.5,</em>
<em>A semiannual interest payments of 7 years, yielding a maturity rate of=6.23%</em>
<em>PV = [(.045 × $1,000)/ 2] ×{(1 - {1 / [1 + (.0623/ 2)]14}) / (.0623 / 2)} + $1,000 / [1 + .0623 / 2)]14
</em>
<em>PV = $903.05</em>
1.
(in gambling) an independent party with whom each of those who make a wager deposits the money or counters wagered.
2.
a person with an interest or concern in something, especially a business.
Answer:
- <em>As explained below, given that the score of the person is among the 0.03125 fraction of the best applicants, </em><u><em>he can count on getting one of the jobs.</em></u>
<em></em>
Explanation:
The hint is to use <em>Chebyshev’s Theorem.</em>
Chebyshev’s Theorem applies to any data set, even if it is not bell-shaped.
Chebyshev’s Theorem states that at least 1−1/k² of the data lie within k standard deviations of the mean.
For this sample you have:
- mean: 60
- standard deviation: 6
- score: 84
The number of standard deviations that 84 is from the mean is:
- k = (score - mean) / standar deviation
- k = (84 - 60) / 6 = 24 / 6 = 4
Thus, the score of the person is 4 standard deviations above the mean.
How good is that?
Chebyshev’s Theorem states that at least 1−1/k² of the data lie within k standard deviations of the mean. For k = 4, that is:
- 1 - 1/4² = 1 - 1/16 = 0.9375
- That means that half of 1 - 0.9375 are above k = 4: 0.03125
- Then, 1 - 0.03125 are below k = 4: 0.96875
Since there are 70 positions and 1,000 aplicants, 70/1,000 = 0.07. The compnay should select the best 0.07 of the applicants.
Given that the score of the person is among the 0.03125 upper fraction of the applicants, this person can count of geting one of the jobs.
