Conditional Probabilities
Four branches “grow” out of each of the two main branches. These branches represent the length of service—less than 1 year, 1–5 years, 6–10 years, and more than 10 years. The conditional probabilities for the upper branch of the tree, 10/120, 30/120, 5/120, and so on are written on the appropriate branches. These are and where refers to less than 1 year of service, 1 to 5 years, 6 to 10 years, and more than 10 years. Next, write the conditional probabilities for the lower branch.
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Learning Objective Assessment: C6 (version 2) MATH2603: Discrete Mathematics C6: I can compute conditional probabilities, and...
Learning Objective Assessment: C6 (version 2) MATH2603: Discrete Mathematics C6: I can compute conditional probabilities, and probabilities for unions, comple- ments, or independent events. Two fair dice are thrown, one blue and one red. The events E, F, and G are defined as follows E: The sum on the two dice is less than or equal to 4. F: The sum on the two dice is even. G: Both dice come up 4. H: The red die comes up 1....
17)An analyst at a local bank wonders if the age distribution of customers coming for service...
17)An analyst at a local bank wonders if the age distribution of
customers coming for service at his branch in town is the same as
at the branch located near the mall. He selects 100 transactions at
random from each branch and researches the age information for the
associated customer. Here are the data:
17) An analyst at a local bank wonders if the age distribution of customers coming for service at his branch in town is the same as...
(Conditional Probability) In Finance, a common nomenclature for more aggressive and more conservative investors’ attitudes towards...
(Conditional Probability) In Finance, a common nomenclature for more aggressive and more conservative investors’ attitudes towards the market are bull and bear positions. While in the first the individual investor/institution takes the first move in the hopes that some asset price will rise, in the second, the subject bets that the market price of a stock will go down or stay flat. A recent survey discovered that 64% of investors who adopted a bull position lost their invested wealth in...
Are customers more loyal in the East or in the West? The following table is based...
Are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States. Row Total 32 74 77 452 31 68 53 98 Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years East 59 112 98 Midwest 65 120 63 179 South 93...
Use your calculator to determine the probabilities. State what you put in for the lower limit,...
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The histogram below gives the length of service of members of the Department of English at...
The histogram below gives the length of service of members of
the Department of English at a particular university. The classes,
in years of service, are 0−−4.9, 5−−9.9, etc., and the vertical
axis represents the number of faculty.
(a) What percent of the department faculty have 30 or more years
of service?
Answer: %
(b) If a member of the department is chosen at random to serve
on a university committee, what is the probability (in decimal
form) that the chosen...
are customers more loyal in the East or in the West? The following table is based...
are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of Row Total 436 5 46 59 Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years East 57 59 112 77 99 Midwest 120 62 172 South 94 158 100 West Column Total 468 291 What is the probability that a customer chosen at random has the...
1. A random sample of executives were surveyed about loyalty to their company. One of the...
1. A random sample of executives were surveyed about loyalty to their company. One of the questions was, "If you were given an offer by another company equal to or slightly better than your present position, would you remain with the company or take the other position?" The joint probability distribution of their responses and their length of service of these executives are presented in the following table. Complete questions 1-2. Please show all your steps carefully. Length of Service...
(1 point) The histogram below gives the length of service of members of the Department of...
(1 point) The histogram below gives the length of service of members of the Department of Mathematics and Statistics at a particular university. The classes, in years of service, are 0– 4.9.5-9.9, etc., and the vertical axis represents the number of faculty. (a) What percent of the department faculty have less than 5 years of service? Answer: % (b) If a member of the department is chosen at random to serve on a university committee, what is the probability (in...
Are customers more loyal in the East or in the West? The following table is based...
Are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States. Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years Row Total East 32 57 59 112 77 149 486 Midwest 31 79 68 120 63 150 511 South 53 85...
Learning Objective Assessment: C6 (version 2) MATH2603: Discrete Mathematics C6: I can compute conditional probabilities, and probabilities for unions, comple- ments, or independent events. Two fair dice are thrown, one blue and one red. The events E, F, and G are defined as follows E: The sum on the two dice is less than or equal to 4. F: The sum on the two dice is even. G: Both dice come up 4. H: The red die comes up 1....
17)An analyst at a local bank wonders if the age distribution of
customers coming for service at his branch in town is the same as
at the branch located near the mall. He selects 100 transactions at
random from each branch and researches the age information for the
associated customer. Here are the data:
17) An analyst at a local bank wonders if the age distribution of customers coming for service at his branch in town is the same as...
Are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States. Row Total 32 74 77 452 31 68 53 98 Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years East 59 112 98 Midwest 65 120 63 179 South 93...
The histogram below gives the length of service of members of
the Department of English at a particular university. The classes,
in years of service, are 0−−4.9, 5−−9.9, etc., and the vertical
axis represents the number of faculty.
(a) What percent of the department faculty have 30 or more years
of service?
Answer: %
(b) If a member of the department is chosen at random to serve
on a university committee, what is the probability (in decimal
form) that the chosen...
are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of Row Total 436 5 46 59 Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years East 57 59 112 77 99 Midwest 120 62 172 South 94 158 100 West Column Total 468 291 What is the probability that a customer chosen at random has the...
1. A random sample of executives were surveyed about loyalty to their company. One of the questions was, "If you were given an offer by another company equal to or slightly better than your present position, would you remain with the company or take the other position?" The joint probability distribution of their responses and their length of service of these executives are presented in the following table. Complete questions 1-2. Please show all your steps carefully. Length of Service...
(1 point) The histogram below gives the length of service of members of the Department of Mathematics and Statistics at a particular university. The classes, in years of service, are 0– 4.9.5-9.9, etc., and the vertical axis represents the number of faculty. (a) What percent of the department faculty have less than 5 years of service? Answer: % (b) If a member of the department is chosen at random to serve on a university committee, what is the probability (in...
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