Assume that a procedure yields a binomial distribution with a trial repeated n times. Use a binomial probabilities table to find the probability of x successes given the probability p of success on a given trial.

n=8, x=2, p=0.30

To find the probability of x successes given the number of trials (n), the number of successes (x), and the probability of success (p) on a given trial, we can use a binomial probabilities table.

1. Start by locating the binomial probabilities table. You can often find it in statistics textbooks or search for an online version.

2. Look for the row in the table that corresponds to the number of trials (n). In this case, n is 8.

3. Find the column in the table that corresponds to the probability of success (p) on a given trial. In this case, p is 0.30.

4. Locate the cell where the row and column intersect. The value in this cell represents the probability of getting exactly x successes in n trials.

5. In this example, we are trying to find the probability of 2 successes (x = 2) out of 8 trials (n = 8), with a probability of success on a given trial being 0.30 (p = 0.30). Therefore, we need to locate the cell in the binomial probabilities table that corresponds to n = 8 and p = 0.30.

6. Once you find the corresponding cell, read the value in that cell. This value represents the probability of getting exactly 2 successes in 8 trials with a probability of success on a given trial being 0.30.

Using the binomial probabilities table, the probability of getting exactly 2 successes (x = 2) in 8 trials (n = 8) with a probability of success on a given trial being 0.30 (p = 0.30) is represented by the value in the corresponding cell of the binomial probabilities table.