You want to do a psychological experiment. On any given day, there is a 30% chance that your participant won’t show up. In addition, there is a 10% chance that the stimulus presentation software won’t work. There is also a 5% chance that there is a problem with saving the data and a 2% chance that there are other problems like experimenter error. For the sake of simplicity, you can assume that all these events are independent. What is the probability that you will be able to do a successful experiment (be able to collect useful data) on any given day?

A. 0.59
B. 0.5
C. 0.49
D. 1
E. 0

Given that you want to do a psychological experiment. On any given day, there is a 30% chance that your participant won’t show up. In addition, there is a 10% chance that the stimulus presentation software won’t work. There is also a 5% chance that there is a problem with saving the data and a 2% chance that there are other problems like experimenter error.

Also given that each of the above four is independent.

Successful experiment can be done only if participant shows up (0.70), stimulus software works (0.90) , Saving the data (0.95) and no other problem (0.98)

Put to gether these independent events to use prob for all is product of probabilities

we have

the probability that you will be able to do a successful experiment (be able to collect useful data) on any given day

=[tex]0.7*0.9*0.95*0.98\\=0.58653[/tex]

=0.59