The age of children in kindergarten on the first day of school is uniformly distributed between 5 and 5.74 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal...

Extracted text: The age of children in kindergarten on the first day of school is uniformly distributed between 5 and 5.74 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is 5.37 b. The standard deviation is 0.2136 c. What is the probability that the child will be older than 5.4 years old? 0.4595 d. The probability that the child will be between 5.4 and 5.6 years old is e. If such a child is at the 77th percentile, how old is that child? years old.