average. What is the probability that four or fewer patrons will enter the restaurant in a 9-minute period? 4. It has been determined that 5% of drivers checked at a road stop show traces of alcohol and 10% of drivers checked do not wear seat belts. In addition, it has been observed that the two infractions are independent from one another. If an officer stops five drivers at random: a. Calculate the probability that exactly three of the drivers have committed any one of the two offenses. b. Calculate the probability that at least one of the drivers checked has committed at least one of the two offenses. 5. Suppose you have a candy box that consists of ten candies, six of them are sweet, while four of them are sour in taste. When you tend to randomly pick four candies out of the box, find the probability that three of them are sweet and one is sour in
average. What is the probability that four or fewer patrons will enter the restaurant in a 9-minute period? 4. It has been determined that 5% of drivers checked at a road stop show traces of alcohol and 10% of drivers checked do not wear seat belts. In addition, it has been observed that the two infractions are independent from one another. If an officer stops five drivers at random: a. Calculate the probability that exactly three of the drivers have committed any one of the two offenses. b. Calculate the probability that at least one of the drivers checked has committed at least one of the two offenses. 5. Suppose you have a candy box that consists of ten candies, six of them are sweet, while four of them are sour in taste. When you tend to randomly pick four candies out of the box, find the probability that three of them are sweet and one is sour in
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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Question
Use binomial probability formula
Transcribed Image Text:Binomial formula
Notation
Formula
n = number of trials
*x= number of successes
* P = probability of success
P(X = x) =
n!
x!(n-x)!
·* p** (1-P)n-x
Transcribed Image Text:average. What is the probability that four or fewer patrons will enter the restaurant in
a 9-minute period?
4. It has been determined that 5% of drivers checked at a road stop show traces of
alcohol and 10% of drivers checked do not wear seat belts. In addition, it has been
observed that the two infractions are independent from one another. If an officer
stops five drivers at random:
a
Calculate the probability that exactly three of the drivers have committed any
one of the two offenses.
b. Calculate the probability that at least one of the drivers checked has
committed at least one of the two offenses.
5. Suppose you have a candy box that consists of ten candies, six of them are sweet
while four of them are sour in taste. When you tend to randomly pick four candies
out of the box, find the probability that three of them are sweet and one is sour in
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