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Which of the following experiments could be used to stimulate an event in which the probability of success, P(sucess), is 0.40 and the number of successes out of 20 events is desired?

A)Use a spinner that is divided into five equal parts. Choose three colors for successful; the other two colors represent unsuccessful. Spin the spinner 20 times, once for each event.

B)Use a random number table consisting of the digits 0 through 9, with digits 0 through 3 representing successful and the remaining digits, 4 through 9, representing unsuccessful. Choose 20 digits, one for each event.

C) Roll a 10 sided die. Let 1 through 5 represent successful and the values 6 through 10 indicate unsuccessful. Roll the die 20 times, once for each event.

D) Count out 65 yellow beads and 35 pink beads. Select 20 of those beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.

User Chen Xie
by
5.3k points

1 Answer

6 votes
The correct answer is B. Since there are 10 digits: 0-9, and 4 are considered successful (0-3), the probability of success is 4/10 = 0.4, and there are 20 trials (20 digits) to be chosen.
Choice A has P(success) = 0.6, Choice C has P(success) = 0.5, and Choice D has P(success) = 0.65.

User Muho
by
6.0k points
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