g Define two jointly distributed continuous random variables, X and Y, as the fluid velocities measured in meters/second at two
different locations, A and B, respectively, in a pipe flow system. The marginal density function for X is . Additionally, the conditional density function is . i. Are X and Y independent? Justify your answer. ii. If the fluid velocity at location A is 0.5 m/s, determine the probability that location B has a fluid velocity that is less than the fluid velocity of location A. iii. Find the probability density function f(x,y). iv. Find the marginal density function h(y). v. Find the conditional density
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Answer:
Therefore,
The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.
Step-by-step explanation:
Given:
The length of the minute hand of a clock is,
Which is as Radius,
Therefore,
Radius = r = length of the minute hand = 14\ inches
pi = 22/7
To Find:
The length of the path traced by the outer tip of the minute hand in one hour, will be One full rotation, that is
Circumference, C = ?
Solution:
Circumference, is given by,
Therefore,
The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.