The time it takes to completely tune an engine of an automobile follows an exponential distribution with a mean of 40 minutes. a. What is the probability of tuning an engine in 30 minutes or less?

b. What is the probability of tuning an engine between 30 and 35 minutes?

a. P (x<30) = 0.5276

              b. P (30<x<35) = 0.0555

Step-by-step explanation: An exponential distribution is a distribution of time in which events happens at a constant average rate.

The rate is calculated as

with μ as the mean.

The probability density distribution for this type of distribution is

And probability is calculated as

For tuning of an engine, the rate is

λ = 0.025

a. Probability of less than 30 minutes:

P (X < 30) = 0.5276

Probability of tuning in 30 minutes or less is 52.76%.

b. Probability of between 30 and 35 can be described as

P (X < 35) = 0.5831

P (X < 30) = 0.5276

Then:

P (30 < X < 35) = 0.0555

Probability of tuning an engine between 30 and 35 minutes is 5.55%.

i think it's either c or d

step-by-step explanation: the entire question is extremely odd. 04 obviously refers to the interest rate. honestly i will say the answer is c. because the (2 x 12) part would mean it's compounded semiannually. i'll say choose c.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!