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

Question

Quizplus · Accepted Answer

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.

The Amount of Money That Jon Can Save After Working