Question B6 (a) For a certain type of computers, the charging time of the battery is normally distributed with a mean of
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Question B6 (a) For a certain type of computers, the charging time of the battery is normally distributed with a mean of
Question B6 (a) For a certain type of computers, the charging time of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours. (i) What is the probability that the charging time of the battery for a randomly selected computer is between 55 hours and 70 hours? Correct the final answer to 4 decimal places. (2 marks) (ii) Find the value of k such that 32% of the computer's batteries have a charging time shorter than k hours. Correct the final answer to 2 decimal places. (3 marks) (iii) For a random sample of 40 computers, what is the probability that the mean charging time of these computer's batteries is shorter than 51.3 hours? Correct the final answer to 4 decimal places. (4 marks)
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