In: Statistics and Probability
the population of cell phone battery life span is normally distributed with a mean of 450 charge cycles with a population standard deviation of 35 charge cycles
a) A single cell phone battery is selected at random. What is the probability that it will have a lifespan of 400 charge cycles or less?
b) A SRS of 50 cell phone batteries is selected, determine the probabiltiy that it will have an average life span of at least 460 charge cycles?
Please make it easy to read and show work so I may understand
µ = 450
sd = 35
a)
= P(Z < -1.43)
= 0.0764
b) n = 50
= P(Z > 2.02)
= 1 - P(Z < 2.02)
= 1 - 0.9783
= 0.0217