1. For the following normal distributions with parameters as specified, calculate the required probabilities:
a) μ ≈ 5, σ = 2; calculate P( 0<x<8)

b) μ ≈ 5, σ = 4; calculate P( 0<x<8)

c) μ ≈ 3, σ = 2; calculate P( 0<x<8)

2. The average number of acres burned by forest and range fires in a large New Mexico county is 4,300 acres per year, with a standard deviation of 750 acres. The distribution of the number of acres burned is normal.
a. Compute the probability in any year that more than 5,000 acres will be burned.
b. Determine the probability in any year that fewer than 4,000 acres will be burned.
c. What it is the probability that between 2,500 and 4,200 acres will be burned?
d. In those years when more than 5,500 acres are burned, help is needed from eastern-region fire teams. Determine the probability help will be needed in any year.

Solution Summary

A Complete, Neat and Step-by-step Solution is provided in the attached file.

...Continuous Probability Distributions If a random variable is a continuous variable, its probability distribution is called a continuous probability distribution...

Continuous Probability Distributions and Sampling Distributions. ... What is the probability that this student will answer 30 or more questions correctly ...

... Now we are going to talk about continuous probability distributions. In a continuous probability distribution, the variable can have a value within a range. ...

What is a probability distribution and its purpose? Distinguish between discrete and continuous probability distributions. Give an example of each. ...

Continuous Probability Distributions - Probability Concepts. ... a decision based solely on probability instead of ... sample data represent a population distribution? ...

... for the calculation of probability of binomial and normal distribution are included ... 9 1.97E-05 9 9E-09 10 1E-10 Discrete & Continuous Probability Distributions. ...