# Binomial Probability Distribution - Practice Calculations

If your age is an even number, circle: j = 4

If your age is an odd number, circle: j = 3

In problem part A below, j is your number of flights.

(my age is 37)

Binomial Probability Distribution: P(x) = nCx Ï?**x (1 â?" Ï?)**(n-x) [6-3]

Where:

· C denotes a combination

· n is the number of trials

· x is the random variable defined as the number of successes

· Ï? is the probability of a success on each trial

Also, where the Mean µ = nÏ? and the Variance Ï?**2 = nÏ?(1 â?" Ï?).

Problem part A:

There are five flights daily from Pittsburgh via US Airways into the Bradford Pennsylvania Regional Airport. Suppose the probability that any flight arrives late is .20. What is the probability that j of the flights is late today? P(j) = _____________

Problem part B:

Calculate the Mean µ = ___________

Problem part C:

Calculate the Standard Deviation Ï? = ____________

-.

https://brainmass.com/statistics/probability/binomial-probability-distribution-practice-calculations-383428

#### Solution Preview

Since your age is 37, the number of flights j is 3 today.

We know that the probability of each flight being late is 0.2, so ...

#### Solution Summary

The solution assists with providing practice calculations for the binomial probability distribution example questions.