Final answer:
This question involves understanding intervals on a number line, probability distribution, and finding probabilities within specific ranges.
Step-by-step explanation:
In this question, we are given the interval 1<μ<29 on the number line. Let's complete the parts of the question:
a. μ = 1<μ<29 (This is already defined in the question)
b. 0 = μ-1 (Since 1<μ<29, subtracting 1 from both sides gives us 0<μ-1<28)
c. To find the probability that the time is at most 30 minutes, we need to find the area under the probability distribution curve from -∞ to 30. This probability can be calculated using the cumulative distribution function of the distribution.
Sketching and labeling a graph of the distribution would require information about the specific distribution being used. Please provide more context so that we can help you with that.
d. To find the probability that the time is between 30 and 40 minutes, we need to find the area under the probability distribution curve from 30 to 40. This probability can be calculated using the cumulative distribution function of the distribution.
e. P(25<x<55) represents the probability that the time is between 25 and 55 minutes. This can be calculated by finding the area under the probability distribution curve from 25 to 55.