Which probability matches the probability histogram?
Assume that there are 2 trials. X = 2 where X represents the number of successes. .
P(success)=0.3
P(success)=0.4
P(success)=0.6
P(success)=0.7 <I chose this.
The real answer is 0.4.
If your 0 is at 0.36, 1 at 0.48, and 2 at 0.16.
To determine the probability that matches the probability histogram for two trials with X representing the number of successes, we need to calculate the probability distribution for each possible X value and compare it to the given histogram.
First, let's calculate the probability distribution for X:
P(X = 0) = (1 - P(success))^2 = (1 - 0.3)^2 = 0.49
P(X = 1) = 2 * P(success) * (1 - P(success)) = 2 * 0.3 * (1 - 0.3) = 0.42
P(X = 2) = P(success)^2 = 0.3^2 = 0.09
Now, let's compare these calculated probabilities with the given histogram:
Histogram: 0.1 0.3 0.4 0.2
From the histogram, we can see that the value 0.1 corresponds to the probability for X = 2, which is 0.09. Therefore, the correct answer is P(success) = 0.7.