Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 11 years old. 43 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( b. What is the distribution of ? & ~ N( c. What is the probability that the average of 43 children will be between 8 and 8.4 years old?

Please explain how to solve as well.

Question 5 > About 62% of people who are murdered knew the person who committed the murder. Suppose that Detective Moore's case load currently has 50 unsolved murders. Use a normal distribution approximation to the binomial distribution to find the following probabilities: a. What is the probability that no more than 28 of the victims among Detective Moore's case files knew their murderer? b. What is the probability that between 28 and 34 of the victims knew their murderer?

A researcher who studies mental health is interested in the length of time (in days) that a patient stays in the hospital after they have presented to emergency having suicidal ideation. The researcher follows the first 30 patients during the month of January and follows them until each one of them is released. Below is the histogram of the data obtained from the 30 patients. 1. What is the shape of this distribution and please construct a frequency table. Given the shape and type of data, which measure of central tendency would you be more likely to report? Why?

The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 14 ☑. 6 0° & b. Find the probability that a randomly selected person with a kidney stone will take longer than 10 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days. Submit Question

Please answer B & C.

Find the indicated probability and interpret the result. From 1975 through 2020, the mean annual gain of the Dow Jones Industrial Average was 651. A random sample of 32 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 700? Assume o = 1540. The probability is (Round to four decimal places as needed.)

Please help me with number six on this algebra II review. Thank you

Choose from the choices and show the solution.

Please only answer b c d