CUET Mathematics - In a 100 metre race A beats B by 10 metres and P(X = x) = cases 2k & if x = 0 \\ kx & if x = 1 \\ k(x - 1) & if x = 2 or 3 \\ 0 & otherwise cases The value of k is | PYQs + Solutions

CUET Mathematics 2023 11 Aug Shift 1

Applied Mathematics

Medium

$\frac{1}{4}$

$\frac{1}{6}$

$\frac{2}{3}$

✅ Correct Option: 1

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If the random variable X follows the Poisson distribution such that P[X = k] = P[X = k+1], then the mean value of X is:

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The random variable X has a probability distribution P(X) of the following form where k is a scalar and

$P(X = x) = \begin{cases} k, & \text{if } x = 0 \\ 2k, & \text{if } x = 1 \\ 3k, & \text{if } x = 2 \\ 0, & \text{otherwise} \end{cases}$

then value of P(X < 2) = _______.

CUET Mathematics 2023 11 Aug Shift 1 PYQs