Question #245827

test on electronic lamp manufactured by a company indicated their life span could be assumed to be normally distributed about a mean of 1750 hours with a standard derivation of 70 hours. calculate the probability that an electronic lamp purchased burn out: (1) in more than 2000 hours (2) between 1600 and 1900 hours.


1
Expert's answer
2021-10-04T02:27:45-0400

1)


z=2000175070=3.57P(Z>3.57)=0z^*=\frac{2000-1750}{70}=3.57\\P(Z>3.57)=0

2)


z1=1600175070=2.14z2=1900175070=2.14P(2.14<Z<2.14)=2(0.016)=0.032z^*_1=\frac{1600-1750}{70}=-2.14\\z^*_2=\frac{1900-1750}{70}=2.14\\P(-2.14<Z<2.14)=2(0.016)=0.032


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