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Random Variables, Expectation & Variance · Question 39 of 68

Question 39

MediumOriginal question

An insurer pays ₹50,000 if a phone is stolen within a year, and the chance of that is 0.01. What is the insurer's expected payout per phone?

Options for question 39

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. The payout is ₹50,000 with probability 0.01 and ₹0 otherwise.

  2. E=50,000×0.01=500E = 50{,}000 \times 0.01 = 500 rupees; a premium above this covers the risk.

Worth noting

₹5,000 takes 0.01 as 10%; it is 1%.

Concept
The expected cost of a risk
Typical time
90 s
Your time
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The rule this testsMathematical expectation
Practise this chapter →

Ten questions from Random Variables, Expectation & Variance, at your own pace.

Practise this chapter →

Ten questions from Random Variables, Expectation & Variance, at your own pace.