Binomial Distribution: Understanding Probabilities and Statistics, Exercises of Economic Analysis

A comprehensive overview of the binomial distribution, a fundamental concept in probability and statistics. It presents the key parameters of the binomial distribution, including the number of trials (n), the probability of success in each trial (p), the mean, variance, and standard deviation. The document also includes a detailed table displaying the probabilities of obtaining different outcomes (x) in the binomial distribution, with values for p(exactly x), p(at most x), and p(at least x). This information is crucial for understanding and analyzing discrete probability distributions, which have numerous applications in fields such as finance, engineering, and the social sciences. By studying this document, students and researchers can gain a deeper understanding of the binomial distribution and its practical implications.

Typology: Exercises

2022/2023

Uploaded on 11/11/2022

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Binomial Distribution
n p Mean Variance Stdev
15 0.25 3.75 2.8125 1.67705098
x
00.0134 0.0134 1.0000
10.0668 0.0802 0.9866
20.1559 0.2361 0.9198
30.2252 0.4613 0.7639
40.2252 0.6865 0.5387
50.1651 0.8516 0.3135
60.0917 0.9434 0.1484
70.0393 0.9827 0.0566
80.0131 0.9958 0.0173
90.0034 0.9992 0.0042
10 0.0007 0.9999 0.0008
11 0.0001 1.0000 0.0001
12 0.0000 1.0000 0.0000
13 0.0000 1.0000 0.0000
14 0.0000 1.0000 0.0000
15 0.0000 1.0000 0.0000
P(Exactly x) P(At most x) P(At least x)
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Binomial Distribution

n p Mean Variance Stdev 15 0.25 3.75 2.8125 1. x 0 0.0134 0.0134 1. 1 0.0668 0.0802 0. 2 0.1559 0.2361 0. 3 0.2252 0.4613 0. 4 0.2252 0.6865 0. 5 0.1651 0.8516 0. 6 0.0917 0.9434 0. 7 0.0393 0.9827 0. 8 0.0131 0.9958 0. 9 0.0034 0.9992 0. 10 0.0007 0.9999 0. 11 0.0001 1.0000 0. 12 0.0000 1.0000 0. 13 0.0000 1.0000 0. 14 0.0000 1.0000 0. 15 0.0000 1.0000 0. P(Exactly x ) P(At most x ) P(At least x ) 0

12 P(Exactly x)

x

A B C D E F G H I J K L M N