I need help with number 4 and 5 please Use the Empirical Rule to find the following probabilities. It is suggested thatyou draw a normal curve, label the r-values for 1, 2, and 3 standard deviationfrom the mean, and write in the probabilities between each standard deviatiobefore attempting to answer the questions.The average life-span of a True Test auto battery is 39 months with a standarddeviation of 3 months. Assume a normal distribution.1. We can expect 95% of the batteries to last between33and45months.2. We can expect 15% of the batteries to last less than 30months.3. We can expect16% of the batteries to last longer than 42months.4. We can expect% of the batteries to last between 30 and39 months.5. We can expect% of the batteries to last between 42 and48 months.Please answer all parts of the question.6:52 AM12/10/20

Solution: Let X be the life-span of a true test auto battery. From the given information, X follows normal distribution with mean µ=39 months and standard deviation σ=3 months. Empirical rule: 68% of the data lies in the 1σ from µ. 95% of the data lies in the 2σ from µ. 99.7% of the data lies in the 3σ from µ. 4. Let Then, We can expect 49.87% of the batteries to last between 30 and 39 months.5. Let Then, We can expect 15.74% of the batteries to last between 42 and 48 months.