How do you solve number 5

HW 6B Part 2 Q). Two newborns, Mazzen and Brandon, are born in the same hospital. Out of all the weights of babies born in that hospital in the last ten years, Mazzen placed in the 2nd percentile, while Brandon placed in the 87th percentile. Describe the weights/sizes of Mazzen and Brandon by interpreting their percentiles. @. Two sprinters, Adrian and Felicia, are tested for their reaction times. Out of all the reaction times for the many times this test has been performed, Adrian placed in the 42nd percentile, while Felicia placed in the 35th percentile. By interpreting their percentiles, decide who had the better reaction time. @). The graph on the nght represents the lengths, in meters, of a particular type of corn stalk. a) What is the average length of this corn stalk? t Lengths of corn stalks (m) b) What is the standard deviation? c) Accom stalk of this type is measured to be 3 m long. What percentile is this? d) The 25th percentile for the lengths of this corn stalk would be approximately how long? @) . An experiment is done to see how well individuals can draw a 6-inch line freehand (without any straightedge or measurement tools). Let Y = the length of the line drawn by a random individual. Y follows a normal distribution with mean 5.7 inches and standard deviation 0.6 inches. a) Describe the distribution using proper notation. For parts (b) (g), draw an appropriate picture of the distribution and shade the area corresponding to the probability/percentage. One drawing per (etter -(4: A person is chosen at random, what is the probability that b) the line they draw is longer than 6 inches? c) the line they draw is shorter than 5 inches? d) the line they draw is between 5.5 and 6.5 inches? e) longer than 6.9 inches or shorter than 4.5 inches? f) Ifa line were to be longer than 90% of all such lines, how long would it need to be? g) Ifa line were to belong to the middle 90% of line lengths, what two lengths would it need to be between? . Let X = the percentage of customers at a randomly chosen bank branch in the US who have applied for a personal loan, X: M(0.34, 0.12). For parts (a) (d), draw an appropriate picture of the distribution and shade the area corresponding to ach probability/percentage. One drain ) per (etter @ = @) Ifa bank branch is chosen at random, what is the probability that the percentage of its customers who have applied for a personal loan is a) greater than 50%? b) less than 30%? c) between 25% and 50%? d) What is the minimum percentage of its customers that a particular branch must have apply for personal loans to be in the top 5% of branches, when is comes to personal loan applications