The backoff torque required to remove bolts in a steel plate is rated as high, moderate, or low. Historically, the probability of a high, moderate, or low rating is 0.66, 0.21, or 0.13, respectively. A sample of 20 bolts are selected for testing. Let X, Y, and Z denote the number of bolts that are independently rated as high, moderate, and low, respectively. Determine the following probabilities. (a) P(X = 15,Y= 2, Z = 3) (b) P(X = 11 | Y= 6)
The backoff torque required to remove bolts in a steel plate is rated as high, moderate, or low. Historically, the probability of a high, moderate, or low rating is 0.66, 0.21, or 0.13, respectively. A sample of 20 bolts are selected for testing. Let X, Y, and Z denote the number of bolts that are independently rated as high, moderate, and low, respectively. Determine the following probabilities. (a) P(X = 15,Y= 2, Z = 3) (b) P(X = 11 | Y= 6)
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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
Transcribed Image Text:The backoff torque required to remove bolts in a steel plate is rated as high, moderate, or low. Historically, the
probability of a high, moderate, or low rating is 0.66, 0.21, or 0.13, respectively. A sample of 20 bolts are
selected for testing. Let X, Y, and Z denote the number of bolts that are independently rated as high, moderate,
and low, respectively. Determine the following probabilities.
(a) P(X = 15,Y= 2, Z = 3)
(b) P(X = 11 | Y= 6)
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