Question

A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. Find the probability that the mean actual weight for the 100 weights is greater than 24.9. (Round your answer to four decimal places.)

Answer 1

Answer:

0.45

Step-by-step explanation:

For a uniform distribution,

$f(x) = \frac{1}{b - a}$

where a is the minimum and b the maximum\\

cumulatively, $F(x) = \frac{x - a}{b -a}$

$F(x >= 24.9) = \frac{24.9 - 24}{26 - 24} = \frac{0.9}{2} = 0.45$