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Mathematics Department Pillman et al. (A-11) studied patients with acute brief episodes of psychoses. The researchers classified subjects into four personality types: obsessiod, asthenic/low self-confident, asthenic/high self-confident, nervous/tense, and undeterminable. The table below cross-classifies these personality types with three groups of subjects-those with acute and transient psychotic disorders (ATPD), those with "positive" schizophrenia (PS), and those with bipolar schizo-affective disorder (BSAD): Personality Type Obsessoid (O) Asthenic/low Self-confident (A) Asthenic/high Self-confident (S) Nervous/tense (N) Undeterminable (U) Total ATPD (1) PS (2) BSAD (3) Total 2 6 17 17 15 52 3 8 16 7 4 15 13 9 26 42 42 126 20 5 4 4 42 Source: Frank Pillmann, Raffaela Bloink, Sabine Balzuweit, Annette Haring, and Andreas Marneros, "Personality and Social Interactions in Patients with Acute Brief Psychoses," Journal of Nervous and Mental Disease, 191 (2003), 503-508. Find the following probabilities if a subject in this study is chosen at random: (b) P(AU2) (a) P(O) (e) P(A|3) (f) P(3) (c) P(1) (g) P(23) (d) P(A) (h) P(2|A)

Mathematics Department Pillman et al. (A-11) studied patients with acute brief episodes of psychoses. The researchers classified subjects into four personality types: obsessiod, asthenic/low self-confident, asthenic/high self-confident, nervous/tense, and undeterminable. The table below cross-classifies these personality types with three groups of subjects-those with acute and transient psychotic disorders (ATPD), those with "positive" schizophrenia (PS), and those with bipolar schizo-affective disorder (BSAD): Personality Type Obsessoid (O) Asthenic/low Self-confident (A) Asthenic/high Self-confident (S) Nervous/tense (N) Undeterminable (U) Total ATPD (1) PS (2) BSAD (3) Total 2 6 17 17 15 52 3 8 16 7 4 15 13 9 26 42 42 126 20 5 4 4 42 Source: Frank Pillmann, Raffaela Bloink, Sabine Balzuweit, Annette Haring, and Andreas Marneros, "Personality and Social Interactions in Patients with Acute Brief Psychoses," Journal of Nervous and Mental Disease, 191 (2003), 503-508. Find the following probabilities if a subject in this study is chosen at random: (b) P(AU2) (a) P(O) (e) P(A|3) (f) P(3) (c) P(1) (g) P(23) (d) P(A) (h) P(2|A)

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Mathematics Department Pillman et al. (A-11) studied patients with acute brief episodes of psychoses. The researchers classified subjects into four personality types: obsessiod, asthenic/low self-confident, asthenic/high self-confident, nervous/tense, and undeterminable. The table below cross-classifies these personality types with three groups of subjects—those with acute and transient psychotic disorders (ATPD), those with “positive” schizophrenia (PS), and those with bipolar schizo-affective disorder (BSAD): Personality Type ATPD (1) PS (2) BSAD (3) Total Obsessoid (O) 2 6 17 Asthenic/low Self-confident (A) Asthenic/high Self-confident (S) Nervous/tense (N) 20 17 15 52 3 8 16 4 7 4 15 Undeterminable (U) 4 13 26 Total 42 42 42 126 Source: Frank Pillmann, Raffaela Bloink, Sabine Balzuweit, Annette Haring, and Andreas Marneros, “Personality and Social Interactions in Patients with Acute Brief Psychoses," Journal of Nervous and Mental Disease, 191 (2003), 503-508. Find the following probabilities if a subject in this study is chosen at random: (a) P(O) (b) P(A U2) (e) P(A|3) & P (c) P(1) (g) P(23) You have two fair dice. What is the probability of rolling: a) both dice are odd (d) P(A) (h) P(2|A) b) a sum greater than 9
Transcribed Image Text:Mathematics Department Pillman et al. (A-11) studied patients with acute brief episodes of psychoses. The researchers classified subjects into four personality types: obsessiod, asthenic/low self-confident, asthenic/high self-confident, nervous/tense, and undeterminable. The table below cross-classifies these personality types with three groups of subjects—those with acute and transient psychotic disorders (ATPD), those with “positive” schizophrenia (PS), and those with bipolar schizo-affective disorder (BSAD): Personality Type ATPD (1) PS (2) BSAD (3) Total Obsessoid (O) 2 6 17 Asthenic/low Self-confident (A) Asthenic/high Self-confident (S) Nervous/tense (N) 20 17 15 52 3 8 16 4 7 4 15 Undeterminable (U) 4 13 26 Total 42 42 42 126 Source: Frank Pillmann, Raffaela Bloink, Sabine Balzuweit, Annette Haring, and Andreas Marneros, “Personality and Social Interactions in Patients with Acute Brief Psychoses," Journal of Nervous and Mental Disease, 191 (2003), 503-508. Find the following probabilities if a subject in this study is chosen at random: (a) P(O) (b) P(A U2) (e) P(A|3) & P (c) P(1) (g) P(23) You have two fair dice. What is the probability of rolling: a) both dice are odd (d) P(A) (h) P(2|A) b) a sum greater than 9
BINOMIAL PROBABILITY Suppose it is known that 10 percent of a certain population is color blind. If a random sample of 25 people is drawn from this population, find the probability that: (a) Five or fewer will be color blind. (b) Six or more will be color blind. (c) Between six and nine inclusive will be color blind. (d) Two, three, or four will be color blind. POISSON PROB. Consider a computer system with Poisson job-arrival stream at an average of 2 per minute. Determine the probability that in any one-minute interval there will be (i) 0 jobs; (ii) exactly 2 jobs; (iii) at most 3 arrivals. (iv) What is the maximum jobs that should arrive one minute with 90 % certainty?
Transcribed Image Text:BINOMIAL PROBABILITY Suppose it is known that 10 percent of a certain population is color blind. If a random sample of 25 people is drawn from this population, find the probability that: (a) Five or fewer will be color blind. (b) Six or more will be color blind. (c) Between six and nine inclusive will be color blind. (d) Two, three, or four will be color blind. POISSON PROB. Consider a computer system with Poisson job-arrival stream at an average of 2 per minute. Determine the probability that in any one-minute interval there will be (i) 0 jobs; (ii) exactly 2 jobs; (iii) at most 3 arrivals. (iv) What is the maximum jobs that should arrive one minute with 90 % certainty?
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