Chapter 7: Central Limit Theorem (Uniform) Chapter 7: Central Limit Theorem (Uniform) 0/4 ar A computer selects a number A from 2 to 7 randomly and uniformly. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( b. Suppose that the computer randomly picks 38 such numbers. What is the distribution of @ for this selection of numbers. ~ N( C. What is the probability that the average of 38 numbers will be more than 3.8?Chapter 7: Central Limit Theorem (Uniform) Chapter 7: Central Limit Theorem (Uniform) 0/ 12 Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( b. Suppose that 36 people are surveyed. What is the distribution of I for this sample? I ~ N( c. What is the probability that the average birth month of the 36 people will be more than 7.5?Chapter 7: Central Limit Theorem (Uniform) n 3 Suppose that the age of students at George Washington Elementary school is uniformly distributed between 5 and 10 years old. 37 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ u Suppose that 37 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of T? E ~ N( c. What is the probability that the average of 37 children will be between 7 and 7.4 years old?" ' ?:c. 3|.-"4 an The number of seconds X after the minute that class ends is uniformly distributed between D and 60. Round all answers to 4 decimal places where possible. a. 1|.I'-.I'hat is the distribution of X? X ~ U|{ ,| :I then the sampling distribution is b. Suppose that 39 classes are clocked. What is the distribution of E for this group of classes? E ~ HI[ I] c. 1What is the probability.r that the average of 39 classes will end with the second hand between 23 and 2? seconds