Question

In: Physics

A ladder rotates at a constant rate of w rad/sec as its top end slides down...

A ladder rotates at a constant rate of w rad/sec as its top end slides down

a vertical wall and its bottom end slides along the ground. A beetle sleeping

on the ladder stays a meters from the top and b meters from the bottom.

Find the speed of the beetle relative to the ground at the moment the ladder

makes an angle of theta radians with the ground.

Expert Solution

Ladder rotates at a rate = rad / sec

The information about he weight of the people in small town is distributed with mean 180 pounds and standard deviation as 28 pounds.

The probability when a random sample of 16 persons will exceed the weight limit of 3200 pounds is we need to divide the maximum capacity 3200 pounds by 16 pounds.

Weight per person = 3200 / 16

= 200 pounds

The sample mean and standard deviation is given as;

the sample mean is calculated as

E() = 180 pounds

Standard deviation of sample mean is

S_D() =

= 28 / 4

= 7 pounds

The probability that a random sample of 16 persons will exceed the weight limit of 3200 pounds is

Z = ( - E() ) / S_D()

= ( 200 - 180) / 7

= 2.86

From the standard deviation table the associated probability is 0.9979

P (Z > 2.86) = 1 - ( Z < 2.86)

= 1 - 0.9979

= 0.0021

Therefore the probability that a random sample of 16 persond will exceed the weight limit of 3200 pounds is 0.0021.

genius_generous answered 2 years ago

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