what is the probability that the value of the random variable is bigger than 2 and less than or equal to 4?
statistics
Description
Homework 5
Read Chapter 5.
Practice Section 5.9.4 Probability Distributions with R
Programming (Normal Distribution Only).
Provide code and resulting output from the programming in your homework
file.
5.10 Exercises
Consider N (3,2.1) distribution.
b. Write down the
mean and standard deviation
c. Find the lower tail probability of 4
d. What is the probability that the random variable is 2?
e. what is the probability that the value of the random
variable is bigger than 2 and less than or equal to 4?
10 (only answer the first question)
If the height (in inches) of newborn babies has the (N18.1)
distribution, what is the probability that the height of a newborn baby is
between 17 and 20 inches?
6.10 Exercises
1. We assume that the probability distribution of
blood pressure, X, is N(µ , σ2) distribution. Suppose we
know that σ=6. To estimate µ,
we randomly selected 9 people and measured their blood pressure. The sample
mean is x̅=110.
a.
Write down the sampling distribution of
the sample mean x̅ and find its
standard deviation.
b.
Find the 80% confidence interval
estimation for µ.
2. For the above question (1), suppose that we did
not know σ and estimated it
using the standard deviation s=6.
4. Using the “brthwt” data set in R, find the point
estimate and the 90% confidence interval estimate for the population mean of
the number of physician visits during the first trimester.
5. Using the “BodyTemperature.txt” data set in R,
find the point estimate and the 80% confidence interval estimate for the
population means of heart rate and normal body temperature.
