#5 Spellers in a spelling bee have the rankings of novice, intermediate, and expert based on their past spelling bee placement record. It is known that 28% of the participants are novice, 48% are intermediate and the rest are expert. The chance that a novice misspells a word in the first round is 53%. The chance of an intermediate misspelling a word in the first round is 36% and the chance of an expert misspelling a word in the first round is 5%. What is the probability that a speller does not misspell a word in the first round? (a) Draw a tree diagram of the situation using proper formatting described in lecture (b) Write the formula (c) Calculate the answer, use proper notation, and round to three decimal places