Asked by Simon Sazian on Jul 07, 2024
Verified
The amount of money that Jon can save after working for a summer is a random variable S with a mean of $1700 and a standard deviation of $100.After saving this money Jon plans to go on a trip to India.He will change his money into Rupees at an exchange rate of 43 Rupees to one Dollar.This money he will bring to India.When he arrives in India he will buy a used motorbike.The price in India of a motorbike of the type he wants is a random variable B with a mean of 18,500 Rupees and a standard deviation of 500 Rupees.The amount of money Jon will have left (in Rupees) after changing his savings into Rupees and buying a motorbike in India is a random variable P.Write an expression for P in terms of S and B.
A) P = 1700S - 18,500B
B) P = 43S - B
C) P = 43S - 18,500
D) P = S/43 - B
E) P = 1700S - B
Exchange Rate
The value of one currency for the purpose of conversion to another, dictating how much one currency is worth in terms of the other.
Random Variable
A quantity whose value is subject to variations due to chance, used in statistical calculations and probability theory.
Motorbike
A two-wheeled motor vehicle that is smaller and lighter than a car, often used for commuting and recreational driving.
- Comprehend the mathematical procedures and modifications utilized on random variables.
Verified Answer
SA
Stephanie AbernathyJul 12, 2024
Final Answer :
B
Explanation :
P represents the amount of money Jon will have left after converting his savings to Rupees and buying a motorbike. Since S is the amount saved in dollars, converting to Rupees involves multiplying by the exchange rate (43 Rupees/Dollar), so the total amount in Rupees is 43S. The cost of the motorbike is represented by B in Rupees. Therefore, the money left after buying the motorbike is the total amount in Rupees minus the cost of the motorbike, which is 43S - B.
Learning Objectives
- Comprehend the mathematical procedures and modifications utilized on random variables.