The value that distinguishes the lowest 25% of data from the highest 75% is -0.00235. Previous concepts: Normal distribution, which describes a "probability distribution that is balanced around the mean, indicating that data close to the mean occur more frequently than those further away from it". The Z-score is "a statistical measurement relating a value to the mean of a set of values, in terms of its distance in standard deviations from the mean". To solve the problem, let X represent the variable of interest in a population; we know the distribution for X is given by:... We want to find a value a to satisfy the condition:... Both conditions here are equivalent. We can apply the Z-score again to find the value a. The figure shows that the z value meeting the condition with 0.25 of the area to the left and 0.75 to the right is z = -0.674. Therefore, P(Z < -0.674) = 0.25 and P(z > -0.674) = 0.75. We can use condition (b) previously to derive... We know the z value that satisfies the equation, so we can proceed to solve for a, which gives us... Thus, the value that separates the lower 25% of data from the upper 75% is -0.00235.
Answer: The answers are:
A) $200,000.
B) $258,881.
C) $177,399.
Explanation: The values for the financial calculator are:
Future value = $ 200.000.
Payment = $ 200,000 x 0.10 = $ 20,000.
n = 5 x 2 = 10. (Semesters in 5 years).
YTM = (a) 10 percent, (b) 6 percent, and (c) 12 percent.
A) Present value = $200,000.
B) Present value = $258,881.
C) Present value = $177,399.
Response
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Clarification
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