Suppose f(x) equals 1/50 on the interval 0, 50. a. What is the ...

[lidoalex]

Suppose f(x) equals 1/50 on the interval 0, 50.
 a. What is the distribution of X?
  b. What does the graph of f(x) look like?
  c. Find P(X  25)
  d. Find P(X  25)
  e. Find P(X = 25)
  f. Find P(0 < X < 3)
  g. Find P(-3 < X < 0)
  h. Find P(0 < X < 50)

Question 2

The time required to complete a particular assembly operation has a uniform distribution between 25 and 50 minutes.
 a. What is the probability density function for this uniform distribution?
  b. What is the probability that the assembly operation will require more than 40 minutes to complete?
  c. Suppose more time was allowed to complete the operation, and the values of X were extended to the range from 25 to 60 minutes. What would f(x) be in this case?

[zhanghao]

Answer to Question 1

a. X has a uniform distribution on the interval 0, 50.
b. f(x) forms a rectangle of height 1/50 from x = 0 to x = 50.
c. 0.50
d. 0.50
e. 0
f. 0.06
g. 0.06
h. 1.00

Answer to Question 2

a. f(x) = 1/25, 25  x  50
b. 0.40
c. f(x) = 1/35, 25  x  60

[lidoalex]

Thank you

[zhanghao]

No problemo