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ArbitrLikvidat [17]
3 years ago
11

A thief steals an ATM card and must randomly guess the correct three​-digit pin code from a 9​-key keypad. Repetition of digits

is allowed. What is the probability of a correct guess on the first​ try?
Business
1 answer:
ololo11 [35]3 years ago
8 0

Answer:

The thief has a 0.11% probability of hitting the pin code on the first try.

Explanation:

Simply, if the ATM card has a 3-digit code that can be repeated, and the board has 9 numbers (for example, from 1 to 9), we must start from the smallest number that could be formed with these numbers to the highest number that these numbers could also compose, which in the case would be 111 and 999. Then, 889 different numbers could be formed (it is the distance between 111 and 999), with which the possibility of hitting the key to the first attempt would be 1 in 889 times, or 1/889.

To take the probability to a percentage, we must know that 889 / 8.89 gives 100. Therefore, dividing 1 / 8.89 we will know the percentage of probabilities of hitting the key on the first attempt: 1 / 8.89 = 0.11.

This shows us that the thief has a 0.11% probability of hitting the key on the first try.

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Answer:

P0 = $77.397794 rounded off to $77.40

Explanation:

The two stage growth model of DDM will be used to calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,

P0 = D0 * (1+g1) / (1+r)  +  D0 * (1+g1)^2 / (1+r)^2  +  ...  +  D0 * (1+g1)^n / (1+r)^n  + [(D0 * (1+g1)^n  *  (1+g2) /  (r - g2))  /  (1+r)^n]

Where,

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  • g2 is the constant growth rate
  • D0 is the dividend paid today or most recently
  • r is the required rate of return

P0 = 1.89 * (1+0.23) / (1+0.15)  +  1.89 * (1+0.23)^2 / (1+0.15)^2  +  

1.89 * (1+0.23)^3 / (1+0.15)^3  +   1.89 * (1+0.23)^4 / (1+0.15)^4  +  

1.89 * (1+0.23)^5 / (1+0.15)^5  +  1.89 * (1+0.23)^6 / (1+0.15)^6  +  

1.89 * (1+0.23)^7 / (1+0.15)^7  +  1.89 * (1+0.23)^8 / (1+0.15)^8  +  

1.89 * (1+0.23)^9 / (1+0.15)^9  +  1.89 * (1+0.23)^10 / (1+0.15)^10  +  

[(1.89 * (1+0.23)^10  *  (1+0.07)  / (0.15- 0.07))  /  (1+0.15)^10]

P0 = $77.397794 rounded off to $77.40

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Maritime industry is said to be rigid, they take few risks, they have structured contracts so the type of culture here would be the hierarchy culture.

There are 4 types of business culture. These are the:

  • Clan culture
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  • The hierarchy culture.

The answer here is concerned with the hierarchy culture because this system is traditionally structured. What this means is that they are rigid and have a set way of doing things.

This is what makes them risk averse. It creates room for very little creativity and and they are very slow to making improvements or following changes in the marketplace.

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B

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In a with reserve auction, the auctioneer may refuse a higher bid (reserve the right to refuse …) where in a without reserve auction, any higher bid must be accepted.

Said another way, in a with reserve auction, the auctioneer is not bound to sell to the highest bidder. In essence, the next higher increment represents the minimum bid.

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Answer:

The price is determined by government intervention and dictated to buyers anti sellers each buyer and teller knows it it illegal to conspire to affect price.

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A perfectly competitive firm is a price taker, which implies that it must acknowledge the equilibrium price at which it sells products. In the event that a perfectly competitive firm attempts to charge even a modest sum more than the market price, it will be not able make any sales.

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