I need help on all parts. Tire lifetimes: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean39 and a standard deviation Ở = 5.(a) Find the 13th percentile of tire lifetimes.(b) Find the 65th percentile of tire lifetimes.(c) Find the first quartile of the tire lifetimes.(d) The tire company wants to guarantee that its tires will last at least a certain number of miles. What number of miles (inthousands) should the company guarantee so that only 4% of the tires violate the guarantee?Round answers to two decimal places.Part 1 of 4The 13th percentile of the tire lifetimes isPart 2 of 4The 65 percentile of the tire lifetimes isPart 3 of 4The first quartile of the tire lifetimes isPart 4 of 40Continue0thousand miles.thousand miles.thousand miles.The company should guarantee thousand miles.XXXXŚŚŚSubmit Assignment©2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessib

Since you have posted a question with multiple sub parts, we will provide the solution only to the first three sub parts as per our Q&A guidelines. Please repost the remaining sub parts separately. From the provided information, Mean (µ) = 39 Standard deviation (σ) = 5 X~N (39, 5)a) The z score can be for 13th percentile can be obtained using excel function as: =NORM.S.INV(0.13) The output is as follow: The z score is -1.12639. The required 13th percentile of tire lifetimes can be obtained as: Z=X-μσ-1.12639=X-395X=5-1.12639+39X=33.37 The 13th percentile of the tire lifetime is 33.37 thousand miles. b) The z score can be for 65th percentile can be obtained using excel function as: =NORM.S.INV(0.65) The output is as follow: The z score is 0.38532. The required 65th percentile of tire lifetimes can be obtained as: Z=X-μσ0.38532=X-395X=50.38532+39X=40.93 The 65th percentile of the tire lifetime is 40.93 thousand miles. c) The z score can be for first quartile can be obtained using excel function as: =NORM.S.INV(0.25) The output is as follow: The z score is -0.67449. The required first quartile of tire lifetimes can be obtained as: Z=X-μσ-0.67449=X-395X=5-0.67449+39X=35.63 The first quartile of the tire lifetime is 35.63 thousand miles.