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.

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

$2.19

Similar Posting

discrete probability distribution and continuous probability

Give an example representing a discrete probability distribution and another example representing a continuous probability distribution. Explain why your choices are discrete and continuous.

Please provide me an insightful analysis of the question is lengthy in response and include specific examples.

...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? ...

Continuous Probability Distribution - Statistical Analysis. JENN Inc. ... The solution calculates continuous probability distribution for JENN Inc. ...

... The solution gives the step-by-step procedure for waiting time distribution (see attachment). Discrete and Continuous Probability Distributions. ...