An experiment was conducted in which planks of wood painted red and green were shown to pigeons to investigate a pigeon’s ability to select a certain color. Pigeons could accurately select the color of the plank of wood 20 percent of the time. A simulation was conducted in which a trial consisted of a pigeon being shown eight planks of wood and its number of successes being recorded. This process was repeated many times, and the results are shown in the histogram. Based on the results of the simulation, which of the following is closest to the probability that there were at most three successes in a trial?

An experiment was conducted in which planks of wood painted red and green were shown to pigeons to investigate a pigeons ability to select a certain color Pigeo class=
An experiment was conducted in which planks of wood painted red and green were shown to pigeons to investigate a pigeons ability to select a certain color Pigeo class=

Respuesta :

Answer:

0.94

Explanation:

It is asking for at most 3 trials, and from the histogram, we can see that 6 percent happens after 3, so we do the following.

1 - 0.06 = 0.94 that there are at most 3 success in a trial.

ps: I checked this on collegeboard and got it right, so gimme a thumbs up.

0.94 is the closest to the probability

fichoh

Using the information given by the histogram, the probability that there were at most 3 successes in the trial is 0.94

Using the probability given by the histogram distribution :

P(at most 3) = P(x 3) = p(x=0) + p(x=1) + p(x=2) + p(x=3)

P(x ≤ 3) = 0.16 + 0.34 + 0.29 + 0.15

P(x ≤ 3)= 0.94

Hence, the probability of having at most 3 successes is 0.94

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