1]. (l5 points) For each of the following situations, select the ONE letter corresponding to the distribution which BEST models the given situation. (each 3 points) (A) Binomial (B) Exponential (C) Chi-square (D) Gamma (E) Geometric (F) Negative Binomial (G) Normal (H) Poisson (l) LogNormal (1) Continuous uniform (K) Weihull I. In Seattle, due to lack of the port facilities or shallow water may require cargo on a large ship to be transferred to a pier using smaller craft. This process requires the smaller craft to cycle back and forth from ship to shore many times. For developing this ship-to-shore transfer process, the time between arrivals of the smaller craft at the pier is 2. A manufacturer of piston rings measures the deviation of the true diameter from the nominal value. This measurements is known to have a standard normal distribution. A sample of [0 rings yield deviations, X., 10 X2, ...,Xm. The sum of squared nominal values, that is, W=z.=1Xi2 is then computed. The distribution of W is 3. The new beverage-dispensing machine in the Students Union Building at BSU is set to dispense 8 ounces, but it in fact dispenses an amount X at random anywhere between 7.8 and 8.2 ounces inclusive. Then, X can be modeled by . 4. The average concentration of mercury particles is four ppm in a stream near a chemical plant. Let Y be the number of mercury particles that are found in a randomly selected liter of water from the stream. The distribution of Y is ? S. A manufacturer of piston rings measures the deviation of the true diameter from the nominal value. This measurements is known to have a standard normal distribution. A random sample of 10 rin 5 yield 1 m deviations, Y1, Y3, Ym. The random variable R which is dened by R: 3Y I I V Z Y? , is then computed. The distribution of R is ? n=2 6. The number of patients during one-hour period who visit the emergency room (ER) of St. Lukes Hospital in Boise is modeled by a Poisson distribution. From [:00 am to 2:00 am today, six patients visited the ER. Let Q be the time between the arrivals of the second patient and the fth patient among the six patients. The distribution of Q is ? 7. A new type of transistor is in development. Using the data from an accelerated life test of the transistor, the failure (or hazard) rate function is found to be approximately a cubic function of time to failure. Let T be the time to failure of the transistor. The distribution of T is 8- At the drive-through counter of Dairy Queen on Boise Avenue, there are [0 cars waiting for their orders. The time needed for the rst 6 cars to be served is