(c) The average life of a smart phone of brand A is 6 years and 4 years for brand B, with a known standard deviation of 1 and 2 years respectively. The lives of these smart phones are assumed to follow approximately a normal distribution. Two samples of size 42 and 52 are randomly selected from smart phone of brand A and B. (i) Identify the probability that the mean life of random smart phone A falls between 5.5 and 6.6 years. (ii) Solve the probability mean life of smart phone of brand B is more than 4 years. (iii) Solve the probability that the mean life of a random sample of smart phone brand A is not less than 1.5 years than the sample of smart phone brand B.

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ISBN:9781119256830
Author:Amos Gilat
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(c) The average life of a smart phone of brand A is 6 years and 4 years for brand B,
with a known standard deviation of 1 and 2 years respectively. The lives of these
smart phones are assumed to follow approximately a normal distribution. Two
samples of size 42 and 52 are randomly selected from smart phone of brand A
and B.
(i) Identify the probability that the mean life of random smart phone A falls
between 5.5 and 6.6 years.
(ii) Solve the probability mean life of smart phone of brand B is more than 4
years.
(iii) Solve the probability that the mean life of a random sample of smart
phone brand A is not less than 1.5 years than the sample of smart phone
brand B.
Transcribed Image Text:(c) The average life of a smart phone of brand A is 6 years and 4 years for brand B, with a known standard deviation of 1 and 2 years respectively. The lives of these smart phones are assumed to follow approximately a normal distribution. Two samples of size 42 and 52 are randomly selected from smart phone of brand A and B. (i) Identify the probability that the mean life of random smart phone A falls between 5.5 and 6.6 years. (ii) Solve the probability mean life of smart phone of brand B is more than 4 years. (iii) Solve the probability that the mean life of a random sample of smart phone brand A is not less than 1.5 years than the sample of smart phone brand B.
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