Question
In: Statistics and Probability
QUESTION: 80% of the Quant 2600 students pass the class. Assume that ten students are registered...
QUESTION: 80% of the Quant 2600 students pass the class. Assume that ten students are registered for the course.
a. What probability distribution works best for this problem? Binomial, Poisson, Hypergeometric, or Normal
b. What is the expected number of students that will pass the
course? (2 decimal places) c. What is the standard deviation of
students that will pass the course? (2 decimal places) d. What is
the probability that exactly 8 will pass the course? (4 decimal
places)
e. What is the probability that at least 8 students will pass the
course? (4 decimal places)
Solutions
Expert Solution
Answer a)
The probability distrbution that works best for this problem is binomial
Answer b)
The population proportion of success is p = 0.80, and the sample size is n= 10.
The expected number of students that will pass the course is 8
Answer c)
The population standard deviation is computed as:
The standard deviation of students that will pass the course is 1.2649
Answer d) 0.3020
Answer e) 0.6778
orchestra answered 2 years agoRelated Solutions
QUESTION: 80% of the Quant 2600 students pass the class. Assume that ten students are registered...
QUESTION: 80% of the Quant 2600 students pass the class. Assume
that ten students are registered for the course.
a. What probability distribution works best for this problem?
Binomial, Poisson, Hypergeometric, or Normal
b. What is the expected number of students that will pass the
course? (2 decimal places) c. What is the standard deviation of
students that will pass the course? (2 decimal places) d. What is
the probability that exactly 8 will pass the course? (4 decimal
places)...
Question 3)The final grades in Math class of 80 students at State University are recorded in...
Question 3)The final grades in Math class of 80 students at
State University are recorded in the accompanying table.
53
62
68
73
75
78
82
88
57
62
68
73
75
78
83
89
59
63
68
73
75
78
84
90
60
63
69
74
76
78
85
93
60
65
71
74
76
79
85
93
60
65
71
75
76
79
85
94
61
65
71
75
76
79
86
95
61
66
72
75
77...
•Exercise 1: It is assumed that 80% of the students pass the MBA 510 course. Calculate...
•Exercise 1: It is assumed that 80% of the students pass the MBA
510 course. Calculate the following for a class of 15 students:
(a) the mean number of students expected to pass;
(b) the standard deviation;
(c) P(exactly 12 of the 15 students pass);
(d) P(at least 12 of the 15 students pass).
•Exercise 2: Five customers enter a store and make independent
purchase decisions. The store’s records indicate that 20% of all
customers who enter the store will...
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Using the Binomial Distribution
Assume that two students must take a ten question, True or False
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answering any particular question correctly.
For each student, calculate the probability of passing (getting
7 or more correct answers) and the probability of “acing” (getting
9 or 10 correct answers) the quiz.
What do your calculated probabilities say about...
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probability that the age of a randomly selected student in the
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One college class had a total of 80 students. The average score for the class on...
One college class had a total of 80 students. The average score
for the class on the last exam was 84.3 with a standard deviation
of 5.4. A random sample of 34 students was selected.
a. Calculate the standard error of the mean.
b. What is the probability that the sample mean will be less
than 86?
c. What is the probability that the sample mean will be more
than 85?
d. What is the probability that the sample mean...
One college class had a total of 80 students. The average score for the class on...
One college class had a total of 80 students. The average score
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c. What is the probability that the sample mean will be more
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d. What is the probability that the sample mean...
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One college class had a total of 80 students. The average score
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A statistics professor has stated that 90% of his students pass the class. To check this...
A statistics professor has stated that 90% of his students pass
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please show work
Of the ten students who received an "A+" in a class during the fall 2019 semester,...
Of the ten students who received an "A+" in a class during the
fall 2019 semester, three were sophomores, two were juniors, and
one was a senior (the remaining student(s) were in their first
year). the teacher believes four of the ten students are strong
candidates for TA positions. Determine the probability the four
candidates include exactly one student from each year in
college.
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