Question 1: Continuous random variables -Uniform distribution Suppose that X= The thickness of a conference-hallwall in cm, is a continuous randon uniform distribution on [A, B]. a) Find the cumulative distribution function if A=12 cm and B=18 cm. b) What is the probability that wall thickness exceeds 14 cm? c) What is the probability that the wall thickness is between 13 cm and16 cm?

please state the approximate distribution of the sample mean

Normal Probability Assume the length of songs on the radio are normally distributed with a mean of 212 seconds and a standard deviation of 19 seconds. a) What percentage of songs on the radio are 200 seconds or shorter? b) What percentage of songs are at least 230 seconds long? c) If a song on the radio is selected randomly what is the probability thay it last between 188 and 208 seconds? d)A radio station wants to identify all songs thay are on the lowest 5% by length. how long would a song need to last to fall in this group?         (round your answer to nearest whole number)

Let x be a random variable that represents the weight of a lion in a certain region of Africa. Assume that x is normally distributed with a mean = 260 lbs . With standard deviation =30 lb  Please include the graphs for questions A and B