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Question

A person applies for a loan of ₹1,00,000. The bank informed him that over the years, it had received 2920 loan applications per year and the probability of approval was, on an average 0.85. The applicant wants to know the average number of loans approved per year by the bank. What can be that number?

The correct answer is
2482

Calculating Average Approved Loans Per Year

To find the average number of loans approved per year, we multiply the total number of loan applications received per year by the probability of a loan being approved.

The key information is:

  • Number of loan applications per year: 2920
  • Probability of approval: 0.85

Loan Approval Calculation

The formula used is:

Average Approved Loans = (Total Applications per Year) × (Probability of Approval)

Applying the given values:

Average Approved Loans = $2920 \times 0.85$

Calculation:

Average Approved Loans = $2482$

Final Answer

Therefore, the average number of loans approved per year by the bank is 2482.

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Important Questions from Probability and Statistics

  1. "Mathematical Expectation of the product of two random variables is equal to the product of their expectations" is true for

  2. In an examination involving multiple choice questions, a student works out the solution in 50% of the questions. In the remaining questions the student guesses the answer. However, when the answer is guessed the probability that it is correct is 0.30. When the student works out the solutions it may be wrong with probability 0.10.

    If the answer to a particular question is correct, what is the probability that the student guessed the answer?

  3. A box contains 4 white balls and 3 red balls. In succession, two balls are randomly and removed from the box. Given that the first removed ball is white, the probability that the second removed ball is red is

  4. In a frequency curve, what is plotted on the vertical axis?

  5. The probability that a teacher will give an unannounced test during any class is 1/5. If a student is absent twice, then probability that misses atleast one test is

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