(Answered) Question the circumferences of battery posts in a

Statistics

Question: The circumferences of battery posts in a nickel-cadmium battery are Weibull-distributed with v = 3.25 centimeters, ß = 1/3, and a= 0.005 centimeters.

(a) Find the probability that a battery post chosen at random will have a circumference larger than 3.40 centimeters.

(b) If battery posts are larger than 3.50 centimeters, they will not go through the hole provided; if they are smaller than 3.30 centimeters, the clamp will not tighten sufficiently. What proportion of posts will have to be scrapped for one of these reasons?

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