Please answer all questions below. Thank you

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Suppose that a random variable X is normally distributed with mean 82 and standard deviation 9. What is the Z value when X is 117? Please give your answer correctly rounded to two decimal places. Answer:Suppose that a random variable X is normally distributed with standard deviation 1.2, however the mean is unknown. It is known that 2.5% of values are below an x value of 17. What is the value of the mean? Give your answer correctly rounded to two decimal places. Do NOT include units in your answer. Answer:In a mound shaped symmetric distribution with u of 100 and o of 10, within what range would we expect 99% of values to lie? Please give your answers correctly rounded to two decimal places. Your answer for the lower bound: Your answer for the upper bound:The lifetime of a new smartphone (years) is exponentially distributed with A = 0.13. What is the value of the mean lifetime of new smartphone? Please give your answer correctly rounded to two decimal places. Please do NOT include units in your answer.Let X be an exponential random variable with ) = 0.4. What is the value of P(X