The probability a student at Jamal's school is in the band is 0.20. Jamal wants to estimate the probability that in 3 randomly selected students, at least 2 are in the band.
To do this, he uses a simulation. He lets 1 represent a student who is in the band and 2, 3, 4, or 5 represent a student who is not in the band. He then uses a computer to randomly generate 3 random numbers from 1 to 5 twenty times. The results of these 20 trials are shown in this list.
233, 113, 131, 244, 414,344, 412, 132, 554, 454,334, 235, 125, 412, 254,232, 221, 342, 333, 313
Based on this simulation, what is the estimated probability that at least 2 of 3 randomly selected students are in band?
Enter your answer, as a decimal, in the box.
Out of the 20 trials, we need to count the number of trials that have at least 2 students in the band.
Looking at the list:
233, 113, 131, 244, 414, 344, 412, 132, 554, 454, 334, 235, 125, 412, 254, 232, 221, 342, 333, 313
We can see that the following trials have at least 2 students in the band:
233, 244, 414, 412, 132, 554, 454, 334, 412, 254, 232, 342, 333, 313
There are 14 trials out of the 20 that have at least 2 students in the band.
Therefore, the estimated probability that at least 2 of 3 randomly selected students are in band, based on this simulation, is 14/20 = 0.7.
Answer: \boxed{0.7}.