For the following confirm that the normal distribution can be used to approximate the binomial distribution. For each, clearly indicate the continuity correction and calculate the probability using the normal distribution. Then, use the Binomial Distribution Table to find the binomial distribution probability and compare. For all work, provide explanation of work (use of tables, calculator functions, formula, etc.)
Find the probability of getting:
1.) 10 to 15 heads out of 20 flips.
2.) At least 15 heads out of 20 flips.
3.) Fewer than 6 heads out of 20 flips.