4 cards are selected one at a time, from a standard deck of 52 cards. Let x represent the number of

3. 4 cards are selected one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in a set of 4. a) if this experiment is completed without replacement, explain why x is not a binomial random variable. b) if this experiement is completed with replacement, explain why x is a binomial random variable. 4. how does the bell-shaped curve for the sampling distribution of sample means for samples of size n=100 compare to the bell-shaped curve for the sampling distribution of sample means for samples of size n=60? 5. what are the characteristic of the normal distribution? Why is the normal distribution important in statistical analysis? Provide an example of an application of the normal distribution. 6. describe the standard normal distribution. explain why it can be used to find probabilities for all normal distributions.