A certain Gas Station sells X thousand gallons of gas each week. Suppose that the cumulative distribution function for X is given by F(x) =1–-(2 – x)* 10. Osxs2 If the tank contains 1.6 thousand gallons at the beginning of the week, find the probability that the gas station will have enough gas for its customers throughout the week. How much gas must be in the tank at the beginning of the week to have a 99% likelihood that there will be enough gasoline for the week? Compute the density function for X. o = 100 if the Scores on a school's entrance exam are normally distributed with u= 500 school wishes to admit only the students in the top 40% what should be the cutoff grade? 15.

a, b, d,

Today, the waves are crashing onto the beach every 4.4 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.4 seconds. Round to 4 decimal places where possible.   The probability that the wave will crash onto the beach between 1.2 and 2.1 seconds after the person arrives is P(1.2 < x < 2.1) =  The probability that it will take longer than 3.28 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.28) =  Suppose that the person has already been standing at the shoreline for 0.7 seconds without a wave crashing in. Find the probability that it will take between 3 and 3.7 seconds for the wave to crash onto the shoreline.  62% of the time a person will wait at least how long before the wave crashes in?  seconds. Find the minimum for the upper quartile.  seconds. Hint:

Suppose model (XY, XZ, YZ) holds in a 2 x 2 x 2 table, and the common XY conditional log odds ratio at the two levels of Z is positive If the XY and YZ conditional log odds ratios are both positive or both negative, show that the XY marginal odds ratio is larger than the XY conditional odds ratio.