SOLUTION: 3. The lifetimes of a colour TV picture tube is normally distributed, with a mean of 8 yrs and a standard deviation of 2 years. (i) What is the probability that a picture tube wi

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Question 853777: 3. The lifetimes of a colour TV picture tube is normally distributed, with a mean of 8 yrs and a standard deviation of 2 years.
(i) What is the probability that a picture tube will last more than 10 yrs?
(ii) If the firm guarantees the picture tube for 4 yrs, what percentage of the tubes sold will have to be replaced?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
mean of 8 yrs and a standard deviation of 2 years.
(i)Using TI: The syntax is normalcdf(smaller, larger, µ, σ).
Note: The -9999 is used as the smaller value to be at least 5 standard deviations from the mean.
P(x > 10) = 1 - normalcdf(-9999,10, 8,2)
(ii)
P(x < 4) = normalcdf(-9999,4, 8,2)
0r
P(P(x > 10) = 1 - NORMSDIST(1) = 1 - .8413 = .1587
P(x < 4) = = NORMSDIST(-2) = .0028 .28% will have to be replaced
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