The print on the package of -watt General Electric soft-white light-bulbs says that these bulbs have an average life of hours. A

Question

2 years ago

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The print on the package of -watt General Electric soft-white light-bulbs says that these bulbs have an average life of hours. A

ssume that the lives of all such bulbs have a normal distribution with a mean of hours and a standard deviation of hours. Find the probability that the mean life of a random sample of such bulbs will be

Mathematics

1 answer:

Naddika [18.5K] · Answer 1 · 2022-09-12T07:06:58+03:00

Answer:

Hi your question is incomplete attached below is the complete question

answer : p ( X < 725 ) = 0.0116

Step-by-step explanation:

Given data:

Average life of bulbs (μ ) = 750 hours

standard deviation (б ) = 55 hours

n ( sample size ) = 25

X = 725

<u>Probability that the mean life of a random sample of 25 bulbs will be less than725 hours </u>

p ( X < 725 ) = p (( X - μ )/ б √n < 725 - 750 / 55√25 )

= P ( Z > - 2.27 )

Hence P ( X < 725 ) = 0.0116 ( using Z-table )