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3. A traffic control engineer reports that 75% of the vehicles passing through a checkpoint are from within the state. What is the probability that fewer than 4 of the next 9 vehicles are from out of state?

3. A traffic control engineer reports that 75% of the vehicles passing through a checkpoint are from within the state. What is the probability that fewer than 4 of the next 9 vehicles are from out of state?

A First Course in Probability (10th Edition)
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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ZOOM + ACTIVITY F: Discrete Probability Distributions 1. The data records the smiling times, in seconds, of an eight-week-old baby. We will assume that the smiling times, in seconds, follow a uniform distribution between zero and 23 seconds, inclusive. This means that any smiling time from zero to and including 23 seconds is equally likely. What is the probability that a randomly chosen eight-week-old baby smiles between two and 18 seconds? 2. Given a random variable X having a normal distribution with u=40 and o=5, find the probability that X assumes a value between 45 and 62.exactly 5 have 3 or more cars? а. less than 4 have 3 or more cars? b. at least 4 have 3 or more cars? 3. A traffic control engineer reports that 75% of the vehicles passing through a checkpoint are from within the state. What is the probability that fewer than 4 of the next 9 vehicles are from out of state? 4. A production of 20 fuses is received by the store. It is known that 4 of the fuses are defective. The quality control engineer randomly selected three of the fuses from the production run. Find the probability that two of the fuses selected are defective. 5. If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that а. exactly 2 of them will be face cards? b. at least 1 of them will be a queen?
Transcribed Image Text:ZOOM + ACTIVITY F: Discrete Probability Distributions 1. The data records the smiling times, in seconds, of an eight-week-old baby. We will assume that the smiling times, in seconds, follow a uniform distribution between zero and 23 seconds, inclusive. This means that any smiling time from zero to and including 23 seconds is equally likely. What is the probability that a randomly chosen eight-week-old baby smiles between two and 18 seconds? 2. Given a random variable X having a normal distribution with u=40 and o=5, find the probability that X assumes a value between 45 and 62.exactly 5 have 3 or more cars? а. less than 4 have 3 or more cars? b. at least 4 have 3 or more cars? 3. A traffic control engineer reports that 75% of the vehicles passing through a checkpoint are from within the state. What is the probability that fewer than 4 of the next 9 vehicles are from out of state? 4. A production of 20 fuses is received by the store. It is known that 4 of the fuses are defective. The quality control engineer randomly selected three of the fuses from the production run. Find the probability that two of the fuses selected are defective. 5. If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that а. exactly 2 of them will be face cards? b. at least 1 of them will be a queen?
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