Purchase Solution

Binominal Distribution: Probability and Normal Approximation

Not what you're looking for?

Ask Custom Question

In a certain binomial distribution, π = 0.20 and n = 30. In using the normal approximation,
a. What are the mean and standard deviation of the corresponding normal distribution?
b. If x = the number of "success" among the 30 observation, determine the following: P(x = 5), P(4 ≤ x ≤ 7), P(1 ≤ x ≤ 5), P(x ≥ 7).

A study by the National Golf Foundation reports that the 6.2 million golfers over the age of 50 spent an average of $939 on golf during the previous year. Assuming a normal distribution with a standard deviation of $200m what is the probability that a randomly selected golfer in this age group will have spent:
a. more than $1539?
b. between $939 and $1339?
c. less than $1139?
d. between $539 and $1139?

Purchase this Solution

Solution Summary

Complete, Neat and Step-by-step Solutions are provided.

Solution Preview

(1) p = 0.20, n = 30, q = 1 - p = 0.80

m = np = 30 * 0.2 = 6, s = sqrt(npq) = sqrt(30 * 0.2 * 0.8) = 2.191

(a) P(x = 5) can be found only from binomial distribution as P(5, 30) = 30C5 0.2^5 ...

Purchase this Solution


Free BrainMass Quizzes
Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.