Women have head circumferences that are normally distributed with a mean given by u =24.24 in., and a standard deviation given by σ=1.1 in. complete parts a through c below. {i only need the 2 answers to question c }a) if a hat company produces women's hats so that they fit head circumferences between 24.0 in. and 25 in., what is the probability that a randomly selected woman will be able to fit into one of these hats? = 0.3420b) b. if the company wants to produce hats to fit all women except for those with the smallest 1.5% and the largest 1.5% head circumferences, what head circumferences should be accommodated? =minimum=21.85 maximum= 26.63c) if 6 women are randomly selected, what is the probability that their mean head circumference is between 24.0 in. and 25.0 in.? (round to 4 decimal places)if this probability is high, does it suggest that an order of 6 hats will very likely fit each of 6 randomly selected women? why or why not? (assume that the hat company produces women's hats so that they fit head circumferences between 24.0 in. and 25.0 in.)