Final answer:
To determine the probability of a continuous random variable falling within a range, we need to know the distribution, mean, and standard deviation. Since the question doesn't provide that information, we cannot calculate the probability of x falling between 74 and 79.
Step-by-step explanation:
The question is asking for the probability that a continuous random variable falls within a certain range. It's important to understand that with continuous random variables, the probability of it taking on any single value is always zero. Instead, we calculate the probability that it falls within a range of values. For example, for a probability density function (PDF) where P(x < 5) = 0.35, the probability that x is greater than 5 would be P(x > 5) = 1 - 0.35 = 0.65, because the total area under the PDF must equal 1. If we are dealing with a scenario such as P(56 < x < 62) for a normally distributed variable, we would use normal distribution tables or technology such as a calculator to find this probability.
To answer this student's question, we would need the distribution of x, its mean, and standard deviation if it's a normal distribution, or the parameters of the distribution if it's not normal. Without this information, we cannot calculate the probability of x falling between 74 and 79.