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 The suspension is thoroughly agitated, and then 3 mL are withdrawn, and 15 particles are counted. Let X = 15 represent the number of particles counted and let t = 3 mL be the volume of suspension withdrawn.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 The suspension is thoroughly agitated, and then 3 mL are withdrawn, and 15 particles are counted. Let X = 15 represent the number of particles counted and let t = 3 mL be the volume of suspension withdrawn.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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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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