STA1610 ASSIGNMENT 2 2024

UNISA  2024  STA1610-24-Y  Welcome Message  Assessment 2

QUIZ




Started on Friday, 7 June 2024, 9:55 AM
State Finished
Completed on Friday, 7 June 2024, 10:22 AM
Time taken 27 mins 5 secs
Marks 18.00/20.00
Grade 90.00 out of 100.00


Question 1
Complete

Mark 2.00 out of 2.00




Consider the following multiple step experiment. A sales agent makes 3 sales calls, at the end of each call a purchase is
either made or not i.e., the two experimental outcomes for each call are {purchase, no purchase}. The following sample
space describe the experiment:

S = {(P P P ), (P P N ), (P N P ), (N P P ), (P N N ), (N P N ), (N N P ), (N N N )} .
Consider the following events:

E1 is the event that the agent makes no purchase.
E2 is the event that the agent makes one purchase.
E3 is the event that the agent makes two purchases.
E4 is the event that the agent makes three purchases.
Which one of the following statements is correct?


a. The total number of experimental outcomes is 2.

b. P (E1 ) = 0.125
c. P (E2 ) = 0.5
d. P (E3 ) = 0.75
e. P (E4 ) = 0.375



Question 2
Complete

Mark 2.00 out of 2.00




Two events A and B are independent. Furthermore, it is known that P (B) = 0.8 and P (A and B) = 0.16 . What is
P (A|B) ?

a. 0.200.
b. 0.330.
c. 0.290.
d. 0.375.
e. 0.160.