Final answer:
Without the total number of airline accidents, it is impossible to calculate the exact mean, variance, and standard deviation of accidents caused by bad weather. The question appears to be missing this crucial piece of information. Option d is correct.
Step-by-step explanation:
To find the mean, variance, and standard deviation of the number of accidents caused by bad weather, we can use the concepts of probability and statistics applied to binomial distributions. First, we'll assume there is a set number, n, of commercial airline accidents. With the information that twenty-five percent of commercial airline accidents are caused by bad weather, we can apply this probability (p) to the binomial distribution formula.
The mean (μ) of a binomial distribution is given by n × p. The variance (σ²) is given by n × p × (1 - p). Lastly, the standard deviation (σ) is the square root of the variance. However, since we don't have the explicit number of accidents (n), we cannot directly calculate the actual values.
Considering the above, none of the provided options (a, b, c, d, e) can be definitively chosen as the correct answer without the total number of accidents (n). Without this piece of information, the question cannot be answered, and it seems there might be a piece of data missing from the given question which is necessary to solve it.