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MHT CET202618 April 2026Morning ShiftMathematicsProbabilityActual

Let F(x) be the cumulative distribution function (c.d.f.) of a continuous random variable X . If F(b) = 0.7 and P(X > a) = 0.4 , then the value of P(a < X < b) is ...

Options

  1. A0.1
  2. B0.2
  3. C0.3
  4. D0.5

Correct answer

A. 0.1

Step-by-step solution

The cumulative distribution function F(x) is defined as F(x) = P(X x) . Given F(b) = 0.7 , we have P(X b) = 0.7 . We are also given P(X > a) = 0.4 . Since P(X a) + P(X > a) = 1 , we get: P(X a) = 1 - 0.4 = 0.6 For a continuous random variable, the probability P(a P(a Substituting the values: P(a Answer: 0.1

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