The probability distribution for the length of lives for a brand of industrial batteries is normally distributed with a mean=5000 hours with a standard deviation of 400 hours What two values will account for virtually all (99.7%) of the batteries lives? 3800-6200 4600-5400 4400-5600 3900-6100 What is the probability of a single battery lasting longer than 5400 hours? (X>5400)= .3413 .1587 .8413 .3085 If a sample of size 100 batteries is taken from this population what two values will account for virtually all of the values of the sample means (99.7%)? 4400-5600 4880-5120 3800-6200 4940-5060 What is the probability that the sample mean will be less than 5040, P( <5040)? .3413 .1587 .8413 .6915 What is the probability that the sample mean will be between 4990 and 5020, P(4990< <5020) .1915 .0928 .2902 .3413 What is the probability that a sample mean will be greater than 5400, P( >5400)? Approximately 1 .5000 Approximately 0 Cannot be determined.