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Four cards are drawn from a desk without replacement. Find these probabilities.




a. All cards are jacks.




b. All cards are black cards.




c. All cards are hearts.





(2<45°)/((3<120°)(4<180°)) leave your answer in rectangular form


A medical trial is conducted to test whether or not a new medicine reduces cholesterol by 25% test at 99% confidence level


How does the t-distribution differ from a normal distribution? A. The t-distribution has a mean of 0. B. The t-distribution has a thicker tail. C. The t-distribution is symmetric in the middle. D. The t-distribution is bell-shaped.

7. A bond has a P15,000 face value, a 4-year maturity, and a 3.5% coupon. What is the total of the interest payments paid to the bondholder? Show your solution.


A survey of 300 Senior High School learners shows that they read on average of 20 hours per week with a margin of error of 2.2 hours at 95% level of confidence.


21. What is the sample mean? A. 20 B. 300 C. 2.2 D. 0.05


22. Which of the following is the upper limit of the interval? A. 15 B. 17.8 C. 22.2 D. 1.96


23. What is the lower limit of the confidence interval? A. 17.8 B. 1.96 C. 22.2 D. 4.4


24. What is the length of the confidence interval? A. 17.8 B. 22.2 C. 4.4 D. 2.

6. Suppose you bought 300 shares of Barney’s Burger at the 52-week low and sold the shares at the 52-week high. Suppose the selling price per share was P7.47 and the purchase price per share was P2.56.

(a) Ignoring dividends, what was your profit or loss on the sale of stock?

(b) If your broker charges 2.1% of the total sale price, what was the broker’s commission? Round to the nearest cent.

Show your solutions.


5. A stock pays an annual dividend of P0.82 per share. The stock trading is at P51.25. Find the dividend yield. Show a solution.



4. A stock pays an annual dividend of P0.72 per share. Calculate the dividends paid to a shareholder who has 550 shares of the company’s stock. Show a solution.



3. A credit card account had a P244 balance on March 5. A purchase of P152 was made on March 12,

and a payment of P100 was made on March 28. Find the average daily balance if the billing date is April 5.


Show a solution


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