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Ganezh [65]
3 years ago
5

Least common multiple of 16 and 28

Mathematics
2 answers:
dybincka [34]3 years ago
5 0

Answer:

122

Step-by-step explanation:

Lena [83]3 years ago
3 0

Answer: 112 is the correct answer

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x=0    y=6

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A drunkard executes a “random walk” in the following way: each minute he takes a step north or southm with probability 1/2 each,
valentina_108 [34]
Assume that a step to the north is in the positive direction and a step in the south is in the negative direction.

Then,

E(X_i)=50\left(\frac{1}{2}\right)-50\left(\frac{1}{2}\right)\\ \\=25-25=0

and

\sigma^2(X_i)=E(X_i^2)-E(X_i)^2 \\ \\ =50^2\left(\frac{1}{2}\right)+50^2\left(\frac{1}{2}\right)-0^2=2500\left(\frac{1}{2}\right)+2500\left(\frac{1}{2}\right)-0 \\ \\ =2500 \\ \\ \Rightarrow\sigma(X_i)=50

After 1 hour of independent steps,

E(X)=\sum_{i=1}^{60}E(X_i)=60(0)=0

and

\sigma^2(X)=\sum_{i=1}^{60}\sigma^2(X_i) \\  \\ =60(50)=300 \\  \\ \Rightarrow\sigma(X)=\sqrt{300}=17.32

Therefore, by Central Limit Theorem, the distribution of the random walk is normal with a mean of 0 cm and a standard deviation of 17.32 cm. He is expected to be somewhere around his starting point after 1 hour.
6 0
3 years ago
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