In: Statistics and Probability
1. A young adult German Shepherd can reach, on average, a top running speed of 30 mph with a standard deviation of 3.5 mph. Suppose that the top speeds of German Shepherds running is approximately normally distributed.
(a) Approximately what percentage of young adult German
Shepherds can run between 23 mph and 37 mph. Explain how you know
without using any tables.
(b) Find the 95th percentile of top running speed of young adult
German Shepherds.
2. Give an example of a binomial distribution in the real world. You can make up the data and the parameters. Explain why it is a binomial distribution.
3.Find the corresponding area under the standard z-distribution for each of the following. (a) Area to the left of ? = 0.35
(b) Area between ?1 = 1.36 and ?2 = −0.93