Which one of the following statements is True?Buffon’s Needle Problem approximates the Natural Logarithm Base.Probability is long run frequency.For any two events A and B, P(A or B) is less than or equal to P(A) + P(B).The Mode can be determined for a Box Plot.Probability equals the number of favorable outcomes divided by the number of unfavorable outcomes in a Sample Space.

Buffons needle problem approximates the number π. Thus, the given statement, Buffons needle problem…

Answered: Which one of the following statements…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Which one of the following statements is True?

Buffon’s Needle Problem approximates the Natural Logarithm Base.
Probability is long run frequency.
For any two events A and B, P(A or B) is less than or equal to P(A) + P(B).
The Mode can be determined for a Box Plot.
Probability equals the number of favorable outcomes divided by the number of unfavorable outcomes in a Sample Space.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

Expert Solution

Step 1

Buffons needle problem approximates the number π.

Thus, the given statement, Buffons needle problem approximates the natural logarithm base is false.

Probability is long term relative frequency.Thus, the given statement, probability is long run frequency is
We cannot determine the mode from the box-plot.

Thus, the given statement, the Mode can be determined for a Box Plot is false.

Probability equals the number of favorable outcomes divided by the total number of outcomes in a Sample Space.

Thus, the given statement, probability equals the number of favorable outcomes divided by the number of unfavorable outcomes in a Sample Space is false.

Thus, the statements 1, 2, 4 and 5 are false.

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