Suppose a survey by the Department of Roads in 2019 revealed that 60% of the vehicles travelling on Suva-Nadi Highway, where speed limits are posted at 80 kilometres per hour are found to be exceeding the limit. Suppose you randomly record the speed of 10 vehicles travelling on the highway as part of your internship. The sample size of the entire survey is not disclosed to you. Compute the following probabilities. Showing all working. a) P(X= 2). b) P(X = 5). c) P(X= 10).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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Suppose a survey by the Department of Roads in 2019 revealed that 60% of the vehicles travelling
on Suva-Nadi Highway, where speed limits are posted at 80 kilometres per hour are found to be
exceeding the limit. Suppose you randomly record the speed of 10 vehicles travelling on the
highway as part of your internship. The sample size of the entire survey is not disclosed to you.
Compute the following probabilities. Showing all working.
a) P(X = 2).
b) P (X = 5).
c) P (X= 10).
Transcribed Image Text:Suppose a survey by the Department of Roads in 2019 revealed that 60% of the vehicles travelling on Suva-Nadi Highway, where speed limits are posted at 80 kilometres per hour are found to be exceeding the limit. Suppose you randomly record the speed of 10 vehicles travelling on the highway as part of your internship. The sample size of the entire survey is not disclosed to you. Compute the following probabilities. Showing all working. a) P(X = 2). b) P (X = 5). c) P (X= 10).
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