Daniela Costa, head of the European Capital Goods Equity Research team in Goldman Sachs Research, outlines three key drivers of this development, which could provide more than $500 billion in combined savings for manufacturers and customers.
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Answer:
a) 0.0358
b) 0.0395
c) 0.1506
Explanation:
Number of clues "daily doubles" = 3
Determine the probabilities
<u>a) P(single contestant finds all three ) </u>
assuming event A= a returning champion gets the "daily double" in first trial
P(A) = 1/30 , P(~A) = 29/30
assuming event B = any player picks up "daily double" after the first move
P(B |~A ) = 1/3
hence : P ( B and ~A ) = 29/30 * 1/3 = 29/90
<em>considering second round </em>
P(player chooses both daily doubles ) = 1/3 * 1/3 = 1/9
∴ P(single contestant finds all three ) = 29/90 * 1/9 = 0.0358
<u>B) P ( returning champion gets all three ) </u>
= (1/30 + 29/90 )* 1/9
= 32 / 810 = 0.0395
<u>c) P ( each player selects only one )</u>
P = 32/405 + 29/405
= 61 / 405 = 0.1506
On this day in 1942, U.S. Lieutenant General Jonathan Wainwright surrender all U.S. troops in the Philippines to the Japanese
Fed can achieve its goals using the given tools as shown below.
<h3>
What is money supply?</h3>
- The money supply (or money stock) in macroeconomics refers to the entire volume of currency held by the public at a given point in time.
- There are numerous definitions of "money," but common measures often include currency in circulation and demand deposits (depositors' easily accessible assets on financial institutions' accounts).
- A country's central bank may utilize a definition of what constitutes legal money for its own reasons.
- Money supply data is recorded and released, typically by a government agency or the country's central bank.
- Changes in the money supply are monitored by public and private sector experts because it is believed that such changes affect the prices of securities, inflation, exchange rates, and the business cycle.
In the given situation, Fed can achieve its goals using the given tools:
- Change the reserve requirement - The Fed should lower the reserve requirement to 48 ± 1 percent.
- Change the discount rate - The Fed should lower the rate by 12.50 ± 0.01 percentage points.
- Use open market operations - The Fed should buy $125.00 ± 0.01 worth of bonds.
Therefore, Fed can achieve its goals using the given tools as shown.
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The complete question is given below:
The Fed wants to increase the money supply (which is currently $5,000) by $250. The money multiplier is 2, and people hold no cash. For each 1 percentage point, the discount rate falls, and banks borrow an additional $10. Explain how the Fed can achieve its goals using the following tools:
a. change the reserve req.
b. change the discount rate.
c. use open market operations.