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

  2. If the probability of a bad reaction from a certain injection is 0.001, the chance that out of 2000 individuals, more than two will suffer of a bad reaction is

  3. If x and y are deviation from mean x̅ and y̅ respectively and if r = 0.5, ∑xy =  120, σy = 8 and ∑x 2= 90, what is the value of 'n' ?

  4. 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?

  5. The lengths of a large stock of titanium rods follow a normal distribution with a mean (μ) of 440 mm and a standard deviation (σ) of 1 mm. What is the percentage of rods whose lengths lie between 438 mm and 441 mm?

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