3 years ago

Find the maximum power of 5 which can divide 49!

1 answer:

8 0

Answer:

Step-by-step explanation:

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vaieri [72.5K]

Since P(X = x) = 0.3 for all 0 ≤ x ≤ α, we have

$\displaystyle\int_{-\infty}^\infty P(X=x)\,\mathrm dx=1\implies0.3\int_0^\alpha\mathrm dx=0.3\alpha=1\implies\alpha=\dfrac{10}3$

So,

$P(X>2) = \displaystyle\int_2^\infty P(X=x)\,\mathrm dx=0.3\int_2^{\frac{10}3}\mathrm dx$

$P(X>2)=0.3\left(\dfrac{10}3-2\right)=\boxed{\dfrac25}$

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