Purchase Solution

binomial probability

Not what you're looking for?

Ask Custom Question

1. If the random variable z is the standard normal score and a > 0, is it true that P(0 < z < a) = 1 - P (z < a)? Why or why not?

2. Given a binomial distribution with n= 36 and p = 0.87, would the normal distribution provide a reasonable approximation? Why or Why not?

3.A. Find the binomial probability P (x=6), where n=15 and p=0.30.
B. Set up, without solving, the binomial probability P(x is at most 6) using probability notation.
C. How would you find the normal approximaton to the binomial probability P(x=6) in part A? Please show how you would calculate the mean and standard deviation in the formula for the normal approximation to the binomial and show the final formula you would use without going through all the calculations.

4. Find the area under the standard normal curve for the following:
A. P(z < -1.75)
B. P ( 0 < z < 0.14)
C. P( -0.51 < z < 0.81)

5. Find the value of z such that approximately 13.31% of the distribution lies between it and the mean.

6. X has a normal distribution with a mean of 80.0 and a standard deviation of 3.5 Find the following probabilities:
A. P ( x < 75.0)
B. P (75.0 < x < 82.0)
C. P (x > 88.0)

7. Assume that the average annual salary for a worker in the United States is $34,000 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,250. Find the following:
What percentage of Americans earn below $20,000?
What percenage of Americans earn above $ 43,000?

Purchase this Solution

Solution Summary

This posting offers help with calculating binomial probability.

Solution provided by:
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
Recent Feedback
  • "Perfect, thank you so much!!! I will definitely request you in the future! You are amazing!"
  • "Thank you. "
  • "Thank you so much I have two more that I need your help with if your available."
  • "Thank you, I was wondering why you rejected me the first time."
  • "Thanks again."
Purchase this Solution

Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.