Respuesta :
Answer:
(a) Discrete
(b) Discrete
(c) Discrete
(d) Discrete
(e) Discrete
(f) Continuous
Step-by-step explanation:
A discrete random variable considers a finite set of values. Whereas a continuous random viable assumes infinite set of values.
One cannot count the values of a continuous random variable.
(a)
X = The number of visitors to the Museum of Science in Boston on a randomly selected day.
The number of visitors can be counted and on a selected day a finite number of people will visit the museum.
So this is a Discrete random variable.
(b)
X = The camber-angle adjustment necessary for a front-end alignment.
The angle measurements are countable values.
So this is a Discrete random variable.
(c)
X = The total number of pixels in a photograph produced by a digital camera.
The number of pixels in a photograph can be counted and fixed values.
So this is a Discrete random variable.
(d)
X = The number of days until a rose begins to wilt after purchase from a flower shop.
Roses usually wilt after 2 or 3 days from the date of purchase.
So this is a Discrete random variable.
(e)
X = The running time for the latest James Bond movie.
A movie is usually, on average, 96.5 minutes long. The number of minutes can be counted.
So this is a Discrete random variable.
(f)
X = The blood alcohol level
The blood alcohol level assumes values in a fixed interval. The values cannot be counted as there are infinite number of values in this interval.
So this is a Continuous random variable.