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Vlad [161]
4 years ago
15

Point G is the center of the small circle. Point X is the

Mathematics
2 answers:
raketka [301]4 years ago
6 0

Answer:D 676√ cm2

Step-by-step explanation:

Studentka2010 [4]4 years ago
3 0

Answer:

676cm

Step-by-step explanation:

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0 = 2t - 8/5

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3.14 The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable with cumula
vovangra [49]

Answer:

(a) The probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.

(b) The probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.

Step-by-step explanation:

The  cumulative distribution function of the random variable <em>X, </em>the waiting time, in hours, between successive speeders spotted by a radar unit is:

F(x)=\left \{ {{0;\ x

(a)

Compute the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function as follows:

12\ \text{minutes}=\frac{12}{60}=0.20\ \text{hours}

The probability is:

P(X

                  =(1-e^{-8x})|_{x=0.20}\\\\=1-e^{-8\times 0.20}\\\\=0.7981

Thus, the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.

(b)

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{d F (x)}{dx}=\left \{ {{0;\ x

Compute the probability of waiting less than 12 minutes between successive speeders using the probability density function as follows:

P(X

                  =8\times [\frac{-e^{-8x}}{8}]^{0.20}_{0}\\\\=[-e^{-8x}]^{0.20}_{0}\\\\=(-e^{-8\times 0.20})-(-e^{-8\times 0})\\\\=-0.2019+1\\\\=0.7981

Thus, the probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.

3 0
3 years ago
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