Can you please answer all parts of this question? Because it's one question! Thank you so much!

Q) a. A light fixture holds two bulbs. Bulb 1 has a lifetime that is normally distributed with mean of 1000 hours and standard deviation of 50 hours. Bulb 2 has higher mean life of 1200 hours and standard deviation of 150 hours. Assume independent failures for the bulbs. Find the following:

(i) What is the probability that Bulb 1 lasts longer than Bulb 2?

(ii) Another fixture holds only one bulb. A unit of bulb 1is used first and replaced with one unit of bulb 2 following burn-out. Find the distribution of combined life time of two bulbs.

b. The 95% confidence interval for a measure of mean impact energy of a metal is [63.84., 65.08] based on a sample size of 10. Estimate the following:

(i) The point estimate,

(ii) The half-width,

(iii) Recompute the interval for 99% level of confidence.,

(iv) Identify the parameter and the statistic.