In a large population, 66 out of every 100 people like dogs better than cats. You would like to find out how likely it is a group of cat-lovers from this population will come together by random chance. You decide to use a sampling distribution to help your analysis, and you believe that a sample size of 50 will be large enough to generate your data, so you select 50 people at random to participate in your study. a) Using the information above, determine the probability of success - that is, the likelihood of an individual preferring cats - for the general population. Enter a number answer only. Round your answer to two decimal places.
b) Using the information above, determine the probability of failure - that is, the likelihood of an individual preferring dogs - for the general population. Enter a number answer only. Round your answer to two decimal places.
c) Using the information above, determine the sample size used in the study.
d) Using the information above, determine the mean of the sampling distribution for all samples of size 50. Enter a number answer only.
e) Using the information above, determine the standard deviation of the sampling distribution for all samples of size 50. Enter a number answer only. Round your answer to two decimal places.