Question 24.24.The following data applies to questions#24-29The 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.24. What two values will account for virtually all (99.7%) of the batteries lives? (Points : 2) 3800-6200 4600-5400 4400-5600 3900-6100Question 25.25.What is the probability of a single battery lasting longer than 5400 hours? (X>5400)=(Points : 2) .3413 .1587 .8413 .3085Question 26.26.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%)? (Points : 2) 4400-5600 4880-5120 3800-6200 4940-5060Question 27.27.What is the probability that the sample mean will be less than 5040, P( 5040)?><>5400)?(Points : 2) Approximately 1 .5000 Approximately 0 Cannot be determined.