(b) The weight, in grams, of red beans in a can is normally distributed with mean u and standard deviation 7.6. Given that 5% of cans contains less than 200g, determine; (i) The value of µ. (ii) The percentage of cans that contains more than 225 g of beans. A factory produces two types of artificial lamp A and B. The mean durability of artificial lamp A is 850 hours and its standard deviation is 40 hours. While, mean durability of artificial lamp B is 820 hours and its standard deviation is 60 hours. Find the probbality of 35 artificial lamp A will have mean durabilirty at least 25 hours more than 45 artificial lamp B. (c)

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(b) The weight, in grams, of red beans in a can is normally distributed with
mean u and standard deviation 7.6. Given that 5% of cans contains less
than 200g, determine;
(i)
The value of µ.
(ii)
The percentage of cans that contains more than 225 g of beans.
A factory produces two types of artificial lamp A and B. The mean
durability of artificial lamp A is 850 hours and its standard deviation is 40
hours. While, mean durability of artificial lamp B is 820 hours and its
standard deviation is 60 hours. Find the probbality of 35 artificial lamp A
will have mean durabilirty at least 25 hours more than 45 artificial lamp B.
(c)
Transcribed Image Text:(b) The weight, in grams, of red beans in a can is normally distributed with mean u and standard deviation 7.6. Given that 5% of cans contains less than 200g, determine; (i) The value of µ. (ii) The percentage of cans that contains more than 225 g of beans. A factory produces two types of artificial lamp A and B. The mean durability of artificial lamp A is 850 hours and its standard deviation is 40 hours. While, mean durability of artificial lamp B is 820 hours and its standard deviation is 60 hours. Find the probbality of 35 artificial lamp A will have mean durabilirty at least 25 hours more than 45 artificial lamp B. (c)
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