66% of dog owners allow their dogs to sleep on the bed at night. A group of 102 randomly selected dog owners were surveyed. Use the normal approximation to the binomial distribution to find the following. What is the probability that at least 63 of the dog owners who were surveyed allowed their dogs to sleep on the bed at night? In the dropdown menus below, and will be displayed as = (a) What probability are we being asked to find? ? (b) After performing a continuity correction, what probability will we need to find? ? (c) What are the mean and the standard deviation of the original binomial variable (which we will use for our normal approximation)? = (Round all decimals to at least 3 places.) (d) Finally, what is the probability using the normal approximation? at least 3 places.) (Round all decimals to