WS 22 – Continuous Random Variable Name:
091 – slides 77 -95 #
1. Match: The interval notation with the correct set builder (inequality notation)
See text slides
____a) [0, 10) A) {x | 0 < x 10}
____b) [0, 10] B) {x | 0 < x < 10}
____c) (0, 10) C) {x | 0 x < 10}
____d) (0, 10] D) {x | 0 x 10}
Use the Upper case letters to answer the following
Which of the above intervals is/are OPEN?________________
Which of the above intervals is/are CLOSED?_________________
Which of the above intervals is/are HALF OPEN?________________
2. Suppose X is a continuous random variable and the density curve is given in graphical form.
a) Shade in the region under the following density curves that correspond to the following probabilities
b) For pdf graphs (a,b,c), give an approximation of the probability
c) For pdf graph (d) find the exact probability
d) For each of these graph what is the probability that x = 2?
a.
P(X<5)
b.
P(1. 5≤X≤4)
c.
2P X
d.
(2 3.2)P X
