a- A coin has a probability of 0.5 landing heads when tossed. Let X = 1 if the coin comes up tails, and X = 0 if the coin comes up heads. What is the distribution of X? and write its expression including the values. b- A fair coin is tossed 6 times. Let X be the number of tails that appear. What is the distribution of X? and write its expression including the values. c- A suspension contains particles at an unknown concentration of A per mL. The suspension is thoroughly agitated, and then 3 mL are withdrawn, and 15 particles are counted. Let X = 15 represent the number of particles counted and let t = 3 mL be the volume of suspension withdrawn. What is the distribution of X? and write its expression including the values. d- Assume that a lot of 30 items contains 5 that are defective, and that 6 items are sampled from this lot at random. Let X be the number of defective items in the sample. What is the distribution of X? and write its expression including the values. e- A test of weld strength involves loading welded joints until a fracture occurs. For a certain type of weld, 60% of the fractures occur in the weld itself, while the other 40% occur in the beam. A number of welds are tested. Let X be the number of tests up to and including the first test that results in a weld itself. where X represents the number of tests up to and including the second weld fracture. What is the distribution of X? and write its expression including the values.
a- A coin has a probability of 0.5 landing heads when tossed. Let X = 1 if the coin comes up tails, and X = 0 if the coin comes up heads. What is the distribution of X? and write its expression including the values. b- A fair coin is tossed 6 times. Let X be the number of tails that appear. What is the distribution of X? and write its expression including the values. c- A suspension contains particles at an unknown concentration of A per mL. The suspension is thoroughly agitated, and then 3 mL are withdrawn, and 15 particles are counted. Let X = 15 represent the number of particles counted and let t = 3 mL be the volume of suspension withdrawn. What is the distribution of X? and write its expression including the values. d- Assume that a lot of 30 items contains 5 that are defective, and that 6 items are sampled from this lot at random. Let X be the number of defective items in the sample. What is the distribution of X? and write its expression including the values. e- A test of weld strength involves loading welded joints until a fracture occurs. For a certain type of weld, 60% of the fractures occur in the weld itself, while the other 40% occur in the beam. A number of welds are tested. Let X be the number of tests up to and including the first test that results in a weld itself. where X represents the number of tests up to and including the second weld fracture. What is the distribution of X? and write its expression including the values.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:a- A coin has a probability of 0.5 landing heads when tossed. Let X = 1 if the coin comes
up tails, and X = 0 if the coin comes up heads.
What is the distribution of X? and write its expression including the values.
b- A fair coin is tossed 6 times. Let X be the number of tails that appear.
What is the distribution of X? and write its expression including the values.
c- A suspension contains particles at an unknown concentration of per mL. The
suspension is thoroughly agitated, and then 3 mL are withdrawn, and 15 particles are
counted. Let X = 15 represent the number of particles counted and let t = 3 mL be the
volume of suspension withdrawn.
What is the distribution of X? and write its expression including the values.
d- Assume that a lot of 30 items contains 5 that are defective, and that 6 items are
sampled from this lot at random. Let X be the number of defective items in the sample.
What is the distribution of X? and write its expression including the values.
e- A test of weld strength involves loading welded joints until a fracture occurs. For a
certain type of weld, 60% of the fractures occur in the weld itself, while the other 40%
occur in the beam. A number of welds are tested. Let X be the number of tests up to
and including the first test that results in a weld itself. where X represents the number
of tests up to and including the second weld fracture.
What is the distribution of X? and write its expression including the values.
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