Suppose a random variable K has the following distribution:k2468P(k)0.1ab0.41. Find the value of a and b if the mean of k equals 6.2. What is the value of the cumulative distribution function at 6?3. What is the value of standard deviation ?

Answered: Image /qna-images/answer/23026dfa-5317-4b46-8bab-9c02273f6a22.jpg

Answered: Suppose a random variable K has the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The age of children in kindergarten on the first day of school is uniformly distributed between 4.95 and 5.87 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 b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.35 and 5.55 years old is e. If such a child is at the 44th percentile; how old is that child? years old. Question Help: Video 1 C Video 2 e Written Example 1 Message instructor Submit Question Jump to Answer 80 こ。 DD F3 F4 F5 F6 F7 FS %23 $ & 1 3 4 7 8. 9 W E R T Y S K C B M つ

A random sample of 100 selected from a population with a standard deviation of 10 yielded a mean = 225. The mean and the standard deviation of the distribution of the sample means are ____________. 225 and 10 225 and 1 225 and 0.1 22.5 and 1 22.5 and 10
A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 3-hour period. Here X is the number of people who used the machine. X 0 1 2 3 4 PX 0.2 0.2 0.1 0.4 0.1 Find the mean,variance and standard deviation
The age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.72 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 b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.08 and 5.28 years old is e. If such a child is at the 74th percentile, how old is that child? years old.
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . 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 at the hot springs stays longer then 81 minutes. c. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
A population has a mean of and standard deviation of 12. A sample of 36 observations will be taken . The probability tha the sample mean will be between 80.54 and 88.9 is A 0.7200 O B 0.0347 C 0.9511 D 8.3600
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . 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 at the hot springs stays longer then 57 minutes. c. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
The age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.8 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 b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.38 and 5.58 years old is e. If such a child is at the 40th percentile, how old is that child? years old.
Q3.a. Find out the variance of first n natural numbers. b. The arithmetic mean of two non-negative numbers is 5. Find out its standard deviation?
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Suppose a random variable K has the following distribution: k 2 4 6 8 P(k) 0.1 a b 0.4 1. Find the value of a and b if the mean of k equals 6. 2. What is the value of the cumulative distribution function at 6? 3. What is the value of standard deviation ?