4) You flip a coin 160 times. The probability of heads is 0.60. Show that the conditions for using the normal approximation to the binomial distribution are met. Use the normal approximation to the binomial distribution to determine the following probabilities: What is the probability of flipping exactly 100 heads in 160 flips? What is the probability of flipping at least 100 heads, but less than 115 heads in 160 flips? What is the probability of flipping at least 100 heads in 160 flips? For each of these probability questions sketch the appropriate distributions showing the pertinent x values and z values, and shade the region under the distribution curve that corresponds to the desired probability