According to an IRS study, 30\% of taxpayers can prepare, copy, and electronically file a 1040 tax form between 2.4 and 2.9 hours. A consumer watchdog agency selects a random sample of 27 taxpayers. What is the probability that, in a random sample of 27,50% or more taxpayers complete form 1040 between 2.4 and 2.9 hours? Required: a. Test the conditions necessary to apply the central limit theorem. Are they satisfied? b. Find the probability in the exercise. Note: Round z-value to 2 decimal places and final answer to 4 decimal places