MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Please help me solve these math questions given to me by my teacher for extra practice. 

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
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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?
expand button
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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