Question

Suppose a movie starts at 5:00 p.m. and Lindsay, a customer who is always late, arrives at the movie theater at a random time between 5:10 p.m. and 5:45 p.m. Lindsay's late arrival time, in minutes, represented by ???? , models a uniform distribution between 10 and 45 min. Determine the height of the uniform density curve. Provide your answer with precision to three decimal places.

Answer 1

Answer: The height of uniform density curve is 0.028.

Step-by-step explanation:

Since we have given that

Uniform distribution between 10 and 45 minutes.

Here,

a = 10 minutes

b = 45 minutes

We need to find the height of the uniform density curve.

So, $f(X=x)=\dfrac{1}{b-a}=\dfrac{1}{45-10}=\dfrac{1}{35}=0.028$

So, the height of uniform density curve is 0.028.