A brand of lightbulb has an average life of 600 hr, with a standard deviation of...
A brand of lightbulb has an average life of 600 hr, with a standard deviation of 40 hr. The length of life of the bulb can be closely approximated by a normal curve. A warehouse manager buys and installs 10,000 such bulbs. Find the total number that can be expected to last less than
716 hr
The total number of bulbs that can be expected to last less than
716 hr is
(Round to the nearest whole number as needed.)
Homework Answers
μ = 600
σ = 40
P( X < 716)
Z = X - μ / (σ / √n)
Z = 716 - 600 /( 40)
Z = 2.9
P( z < 2.9)
= 0.5 + 0.4981
= 0.9981
Number of bulbs that last less than 716 hr
= 0.9981 x 10000
= 9981
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