Question

Suppose that lifetimes of light bulbs produced by a certain company are uniformly distributed between 700 and 1100 hours. What is the probability for a randomly selected 64 light bulbs that total lifetime is at least 55600 hours?

Answer 1

Given

company are uniformly distributed between 700 and 1100 hours

let a =700 , b = 1100

n = 64

mean = (700+1100) / 2 = 900

variance ()= (1100-700)² /12 =13333.333

n* = 64 * 900

57600

n* = 64 * 13333.333

= 853333.312

  

P(Z > -2.16) = P(Z < 2.16) =  0.98461

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