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serious [3.7K]
3 years ago
12

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:
Dennis_Churaev [7]3 years ago
7 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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Soft drink manufacturers face (a) ________.
Ilya [14]

Answer:

The correct answer is (A)

Explanation:

Soft drink manufacturing industry faces a high threat of substitutes. Not many soft drink brand exit the market but many new companies and brand enter. Similarly, that is the reason why prices of soft drink do not fluctuate as compare to other food items. The competitive environment in the soft drink industry creates a high threat of substitutes.

6 0
4 years ago
Identify what concept is represented in the following scenario, and explain why.
LuckyWell [14K]

This scenario describes a supply chain. A supply chain can be described as a complex sequence of commercial activities with the end goal of providing products and services for consumers. The aforementioned scenario demonstrates exactly this: a sequence starting at early T-shirt production and ending at the T-shirt being ready for sale.  

8 0
3 years ago
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 16% and a standard devi
vivado [14]

Answer:

26%

Explanation:

An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 16% and a standard deviation of return of 25%. Stock B has an expected return of 11% and a standard deviation of return of 10%. The correlation coefficient between the returns of A and B is .4. The risk-free rate of return is 9%.

The proportion of the optimal risky portfolio that should be invested in stock B is approximately

= (0.11 - 0.09)(0.25^2) - (0.16 - 0.09)(0.1)(0.25)(0.4) / (0.11 - 0.09)(0.25^2) + (0.16 - 0.09)(0.1)(0.25) - (0.11 - 0.09+0.16 - 0.09)(0.1)(0.25)(0.4)

= 0.00055 / 0.0021 = 26%

8 0
4 years ago
Read 2 more answers
Economists typically assume that the owners of firms wish to
faltersainse [42]

Answer: Maximize profits

Explanation: The basic assumption an economist make is that the owners of a firm always works with the intent of maximizing their profits. As per this approach, the producers in the market determine their prices, inputs and outputs in such a way that it leads to highest profits.

Hence, from the above we can conclude that the right option is C.

8 0
3 years ago
Read 2 more answers
If the Japanese yen–U.S. dollar exchange rate is ¥104.30/$, and it takes 25.15 Thai bahts to purchase 1 dollar, what is the yen
S_A_V [24]

Answer:

4.15 Yen per 1 Thai bahts

Explanation:

Given a Yen (Y) to USD ($) Price of 104.30, and a Thai bahts (T) to USD price of 25.15. We derived the following.

\frac{Y}{USD} = 104.30

\frac{T}{USD} = 25.15

USD to Thai bahts = \frac{USD}{T} =\frac{1}{25.15}

Therefore, Yen to baht = \frac{Y}{USD} *\frac{USD}{T}

= 104.30 * \frac{1}{25.15}

= 104.30/25.15

= 4.15 Yen per Thai bahts

6 0
4 years ago
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