The age of children in kindergarten on the first day of school is uniformly distributed between 4.95 and 5.76 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 0' b. The standard deviation is o' c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.05 and 5.55 years old is C] e. If such a child is at the 82nd percentile, how old is that child? years old. Today, the waves are crashing onto the beach every 4.2 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.2 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is 2.1 b. The standard deviation is 1.2124 V c. The probability that wave will crash onto the beach exactly 2 seconds after the person arrives is P(X = 2) = 0 d. The probability that the wave will crash onto the beach between 1.6 and 2.7 seconds after the person arrives is P(1.6 3.34) = 0.3333 X f. Find the maximum for the lower quartile. 1.05 seconds.The age of children in kindergarten on the first day of school is uniformly distributed between 4.92 and 5.85 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 5.385 b. The standard deviation is 0.0721 X c. The probability that the the child will be older than 5 years old? |0.9140 d. The probability that the child will be between 5.42 and 5.62 years old is |0.73 X e. If such a child is at the 85th percentile, how old is that child? 5.3661 X years old. Question Help: _Video 1 Video 2 B Written Example 1 Message instructor