The length, \( X \), of a fish from a particular mountain lake in Idaho is normally distributed with \( \mu = 7.5 \) inches and \( \sigma = 2 \) inches.(a) Is \( X \) a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: [Text Box](b) Write the event "a fish chosen has a length equal to 5.5 inches" in terms of \( X \): [Text Box].(c) Find the probability of this event: [Text Box].(d) Find the probability that the length of a chosen fish was greater than 10 inches: [Text Box].(e) Find the probability that the length of a chosen fish was between 5.5 and 10 inches: [Text Box].

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Answered: The length, X, of a fish from a…

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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A group of 20 students have been on holiday abroad and are returning to Norway. In the group, there are 7 who have bought too much alcohol on duty-free and none of them informs the customs officers about it. Customs officers randomly select 5 people from these 20 students for control. We let the variable X be the number of students among the 5 selected who have bought too much alcohol. (a) What type of probability distribution does the variable X have? Write down the formula for the point probabilities. (b) What is the probability that none of those checked has bought too much? (c) What is the probability that at least 3 of the 5 controlled students have bought too much?
Let A be an event, such that P(A)=0.8141. Find the following probability: P(not A)= % (Round the answer to 2 decimals)
The odds against the horse Bucksnot winning the race are 10:13. What is the probability that Bucksnot will win the race?
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A sample of 150 plastic panels was selected and tested for shock resistance and scratch resistance. The results are summarized in the Table 4 below. Table 4: Total number of shock and scratch resistance Scratch(high) Resistance(low) Shock(high) 0.42 0.18 Resistance(low) 0.26 0.14 (a) Find the probability: i. the panel has shock(high) resistance(low). ii. the panel has scratch(high) resistance(low). i. the panel has low resistance given that high shock resistance.
In the winter time, Baltimore can get snow storms at various times throughout the season. Let's imagine that in an analysis of the weather, I found that the probability of no snow on a winter day was 0.90. Let's also make the crude assumption that the probability of snow on any given day is independent of other days. What is the probability that there will be no snow for 30 days? T TTArial 3 (12pt) v T
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A university conducted a survey of 374 undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. Complete parts (a) through (d) below. Click the icon to view the table. (a) If a survey participant is selected at random, what is the probability that he or she is satisfied with student government? P(satisfied) (Round to three decimal places as needed.) (b) If a survey participant is selected at random, what is the probability that he or she is a junior? = P(junior) = (Round to three decimal places as needed.) (c) If a survey participant is selected at random, what is the probability that he or she is satisfied and a junior? P(satisfied and junior) = (Round to three decimal places as needed.) (d) If a survey participant is selected at random, what is the probability that he or she is satisfied or a junior? P(satisfied or junior) = (Round to three decimal places as needed.) Data table Satisfied Neutral Not satisfied…

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