I am doing homework at the moments and I need help with the questions.

Guarantee of Tyre = 36,680 miles

Step-by-step explanation:

Given:

Mean = 46,000 miles

Standard deviation = 4,000 miles

Computation:

Assume;

x = guaranteed lifetime

P(X > x) = 99%

So,

P(X > x) = 0.99

So,

P(Z > z) = 0.99

So,

1 - P(Z > z )  = P(Z < z)

P(Z < z) = 0.01

So, in z table value of z = -2.33

x = μ + [z x σ]

x = 46,000 + [-2.33 x 4000]

x = 36,680

Guarantee of Tyre = 36,680 miles