Answer F Suppose the age that children learn to walk is normally distributed with mean 11 months and standarddeviation 2.3 month. 33 randomly selected people were asked what age they learned to walk. Round allanswers to 4 decimal places where possible.a. What is the distribution of X? X- N( 112.3b. What is the distribution of ? - N( 110.4004c. What is the probability that one randomly selected person learned to walk when the person wasbetween 10.6 and 11.2 months old?d. For the 33 people, find the probability that the average age that they learned to walk is between10.6 and 11.2 months old.e. For part d), is the assumption that the distribution is normal necessary? O NoO Yesf. Find the IQR for the average first time walking age for groups of 33 people.Q1 =monthsQ3 =monthsIQR:monthsSubmit Question

As per the compony rule, We can answer only three subparts in a single question. Here, mention that F part, hence only solve that part. Given, Age of children learn to walk with mean 11 and standard deviation 2.3 months. From them we select 33 people randomly.F) i) p(Z<z)=0.25 z0.25=-0.674 .... By using standard normal table z=x¯-μσ/n Q1=μ+z.σn =11+(-0.674)2.333 =11-0.674×2.35.74 =11-0.27 Q1=10.73ii) p(Z<z)=0.75 z0.75=0.674 ..... By using standard normal table x=μ+zσn =11+0.674×2.333 =11+0.674×2.35.74 =11+0.27 Q3=11.27Now, Inter quartile range is, IQR = Q3 - Q1=11.27 - 10.73=0.54 IQR = 0.54 month