# Answer to Question #40820 in Statistics and Probability for Sumendra

Question #40820

a. The amount of time that the battery of a certain brand of computer functions is a random

variable with mean 12 hours and standard deviation of 1.5 hours. A random sample of 45

batteries of a certain brand of computer is selected from a normal population. Let X be the

mean time of the battery of a certain brand of computer functions. Find

i. the mean and the standard deviation of X . [3 marks]

ii. the probability that 11.99 < x < 12.02. [3.5 marks]

[Note: Leave all the calculations in 4 decimal places.]

variable with mean 12 hours and standard deviation of 1.5 hours. A random sample of 45

batteries of a certain brand of computer is selected from a normal population. Let X be the

mean time of the battery of a certain brand of computer functions. Find

i. the mean and the standard deviation of X . [3 marks]

ii. the probability that 11.99 < x < 12.02. [3.5 marks]

[Note: Leave all the calculations in 4 decimal places.]

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