The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time less than 1.75 minutes.

0.35

Step-by-step explanation:

we know that

The formula to use for uniform distribution is equal to

where,

b is the upper limit of the distribution which is 5 minutes in this case.

a is the lower limit of the distribution which is 0 minutes in this case.

x is the concerned value which is 1.75 minutes in this case.

substitute the given values

That means

The probability that a randomly selected passenger has a waiting time less than 1.75 minutes is 0.35

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°