Final answer:
To find the probability of success, p, in a binomial distribution, we need information from the histogram of the binomial random variable or additional data about the distribution. The problem mentions that p might be 0.70, which would be the answer if it's related to the histogram's data. However, without the histogram or enough specific information, we cannot determine p exactly.
Step-by-step explanation:
To determine the probability of success, p, in a binomial distribution where p is a multiple of 0.05, we need to understand the properties of a binomial random variable. The binomial setting requires that there are a fixed number of trials (n), two possible outcomes (success or failure), that each trial is independent, and that the probability of success (p) is the same for each trial.
If given a histogram of the binomial random variable, we would typically use the heights of the bars to determine the probabilities of different numbers of successes. To find p, it would be necessary to have additional information about the binomial probabilities or the mean μ = np of the distribution. Without the actual histogram or additional data, we cannot provide the exact value of p. However, it appears that a typo is present in the statement and considering the context, it mentions that the probability of a success is .70 for each trial. Thus, if this information was supposed to be part of your histogram data, the probability of success, p, would be 0.70.
For other scenarios, if we know the mean (μ) and standard deviation (o), and if n is large enough, we could estimate p using the properties of the binomial distribution. Otherwise, when given specific binomial probabilities or when calculating probabilities for hypothetical values of p, we would use the binomial formula or technology such as a calculator or software to find the binomial probabilities.