Question: Statistics. Tried but cannot do this question. can explain. 1 The average lifespan of a lmageplus television set is 10 years, with standard deviation of

Statistics. Tried but cannot do this question. can explain.

Statistics. Tried but cannot do this question. can explain. 1 The average

1 The average lifespan of a lmageplus television set is 10 years, with standard deviation of a years. Assume the lifespan follows a normal distribution. (a) Given that the probability of a randomly chosen [mageplus television set can last for more than 6 years is 0-97, show that o = 2-13. [3] (b) Find the probability that the average lifespan of 10 randomly chosen lrnageplus television [2] sets is between 8 and 10 years. The lifespan of a Colourplus television set is normally distributed with mean 9 years and variance 2-25 years- (c) If the manufacturer is willing to replace only 5% of the Colourplus television sets that fail, how long a guarantee should he offer for a Colourplus television set? Give your answer correct to 1 decimal place. [2] (d) Find the probability that a randomly chosen Imageplus television set can last longer than a randomly chosen Colourplus television set by more than 2 years. [3]

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