Final answer:
To find the probability mentioned in your question, we need the population mean and standard deviation to use the Central Limit Theorem, which is not provided in your question. However, the concept typically involves using a z-table, a calculator function, or normal distribution formulas after those parameters are known.
Step-by-step explanation:
The question you have asked pertains to finding the probability that a random sample of 14 second-grade students has a mean reading rate of more than 96 words per minute. To calculate this probability, we need additional information such as the mean reading rate of the population and the standard deviation. Usually, we can apply the Central Limit Theorem for large sample sizes and assume the sampling distribution of the mean is normally distributed to find this probability using z-scores or a statistical software.
To illustrate with a similar example, if we know that 95 percent of such samples have means under 26 minutes, we can infer that the probability of having a sample with a mean above 26 minutes is 5 percent, or 0.05. The problem may involve using a z-table, calculator functions like those on the TI-83/84 series, or formulas for the normal distribution.
In contrast, other examples listed refer to different scenarios of probability. For instance, the likelihood of passing a quiz without studying or the chance of a baby smiling for a certain duration. These probabilities are found using respective binomial or normal distribution methodologies depending on the specifics of the given problem.