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tigry1 [53]
3 years ago
13

A man swims for 30 mins at a speed of 109 m/min. How far does he swim?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

The distance is meters per minute so you would multiply the distance per minute by total minutes:

109 x 30 = 3.270 total meters.

1 km = 1000 meters

3,270 meter/ 1000 meters per km = 3.27 km

They swam 3.27 km

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(a)  moment generating function for X is \frac{1}{6}\left(e^{t}+e^{2 t}+e^{2 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)

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Given X represents the number on die.

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M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)

(b) Now, find E(X) \text { and } E\((X^{2}) using moment generating function

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M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)

M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)

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(b) \mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}

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