The mean amount of time it takes a kidney stone to pass is 16 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( b. Find the probability that a randomly selected person with a kidney stone will take longer than 14 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Please answer A, B, & C please. Thank you in advance!!! Help is appreciated :)
![**Educational Material on Kidney Stone Passage Time**
The mean amount of time it takes a kidney stone to pass is 16 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.
**Questions:**
a. What is the distribution of \( X \)?
\[ X \sim N(\boxed{16}, \boxed{6^2}) \]
b. Find the probability that a randomly selected person with a kidney stone will take longer than 14 days to pass it.
\[ P(X > 14) = \boxed{\quad} \]
c. Find the minimum number for the upper quarter of the time to pass a kidney stone.
\[ x = \boxed{\quad} \text{ days} \]
**Note:**
- In question (a), the distribution of \( X \) is written in the form \( N(\mu, \sigma^2) \), where \( \mu \) is the mean and \( \sigma^2 \) is the variance.
- Questions (b) and (c) are referring to probabilities and percentiles, which involve calculations using the normal distribution parameters provided.
- There are no graphs or diagrams included in the provided image. If required, normal distribution curve visualizations may help in understanding these concepts better.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26f5f585-4a53-4f63-93cf-73118a5adbf6%2F5c3b99c3-9910-40b9-bd4b-3a25f696f445%2Fip08js_reoriented.jpeg&w=3840&q=75)

Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images









