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WINSTONCH [101]

3 years ago

13

Clark has 20 trading cards and he buys (p) trading cards from the store. He gave his friend Jenny (k) trading cards as a gift fo

r her birthday. How many trading cards does Clark have left.

1 answer:

NikAS [45]3 years ago

5 0

(20 + p) - k = how many cards he has left

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Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

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Step-by-step explanation:

The probability density function of an exponential distribution is:

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(a)

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(b)

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$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

$P(X$

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

Compute the value of <em>x</em> as follows:

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Take natural log on both sides.

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