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The lifetime of a certain electronic component used in a laptop computer can be modeled by an exponential distribution with a mean of 4 years, or I-LX = = 4 years. (a) Compute the standard deviation of the above distribution. SD(X) = ax years (use two decimals in your answer) (b) What can you say about the shape of the distribution of X? The distribution of X is ? (c) You randomly pick a laptop. Find the probability that the certain electronic component will last between 1 years and 4 years. (Use four decimals in your answer) (d) If the electronic component in the laptop you chose in (c) has lasted at least 4 years, what is the probability it will last in total at most 8 years? (Use four decimals in your answer) (e) The manufacturer of this electronic component wishes to have a guarantee. This guarantee will state that 3% of components will be replaced free of charge. At what lifetime should the manufacturer set the guarantee, in years? Preview My Answers years (Use two decimals in your answer) Submit Answers