Heightlandia, the height measurements of tenyearold children are approximately normally distributed with a mean of 53.6 inches, and standard deviation of 2.5 inches. What is the probability that the height of a randomly chosen child is between 50.35 and 54.35 inches? Do not round until you get your your final answer. and then round to 3 decimal places. Answer= (Round your answer to 3 decimal places.) Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.8in and a standard deviation of lin. Due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are in the smallest 0.6% or largest 0.6%. What is the minimum head breadth that will fit the clientele? min : inches What is the maximum head breadth that will fit the clientele? min = inches Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact zscores or zscores rounded to 3 decimal places are accepted. In the country of United States of Heightlandia, the height measurements of tenyearold children are approximately normally distributed with a mean of 53.5 inches, and standard deviation of 3 inches. A) What is the probability that a randomly chosen child has a height of less than 50.5 inches? Answer: (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 60.5 inches? Answer: (Round your answer to 3 decimal places.) A distribution of values is normal with a mean of 231 and a standard deviation of 22.3. Find the probability that a randomly selected value is less than 224.3. P(X 191.2cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact zscores or zscores rounded to 3 decimal places are accepted