Question
In: Statistics and Probability
Two students attending an exam. Let Si be the event of student i passes an exam....
Two students attending an exam. Let Si be the event of student i passes an exam. S1 and S2 may or may not be independent of each other. Let random variable X be total number of students who pass the exam. P(S1) = P(S2) = 2/3. X = 0, 1, 2.
1) E(X)
2) What is the min and max of var(X)
Solutions
orchestra answered 2 years agoRelated Solutions
5 students attending an exam. Let Si be the event of student i passes an exam....
5 students attending an exam. Let Si be the event of student i
passes an exam. S1 and S2 may or may not be independent of each
other. Let random variable X be total number of students who pass
the exam. P(S1) = P(S2) = 2/3. X = 0, 1, 2, 3, 4, 5.
1) E(X)
2) What is the min and max of var(X)
If a researcher wanted to test whether attending class influences how students perform on an exam,...
If a researcher wanted to test whether attending class
influences how students perform on an exam, he collected needed
data and decided that the alpha level is 0.05, so the critical
value is 3.841 (4 mark)
Pass
Fail
Total
attended
25
6
31
skipped
8
15
23
Total
33
21
54
The researcher calculated the
expected frequency for each cell and came up with these numbers in
parenthesis
Pass
Fail
Total
attended
25 (18.94)
6 (12.05)
31
skipped
8 (14.05)...
Consider randomly selecting a student at a large university, and let "A" be the event that...
Consider randomly selecting a student at a large university, and
let "A" be the event that the selected student has a Visa card and
"B" be the analogous event for MasterCard. Suppose that P(A)=0.6
and P(B)=0.4.
a) Could it be the case that P(A and B)=0.5? Why or why not?
Consider randomly selecting a student at a large university, and let A be the event that...
Consider randomly selecting a student at a large university, and
let A be the event that the selected student has a Visa
card and B be the analogous event for MasterCard. Suppose
thatP(A) = 0.7and
P(B) = 0.3.
(a)Could it be the case
thatP(A ∩ B)
= 0.5?
Why or why not?
(b) From now on, suppose
thatP(A ∩ B)
= 0.2.
What is the probability that the selected student has at least
one of these two types of cards?...
Consider randomly selecting a student at a large university. Let A be the event that the...
Consider randomly selecting a student at a large university. Let
A be the event that the selected student has a Visa card,
let B be the analogous event for MasterCard, and let
C be the event that the selected student has an American
Express card. Suppose that P(A) = 0.6,P(B) = 0.4,and P(A ∩ B) =
0.3,suppose that P(C) = 0.2,P(A ∩ C) = 0.12,P(B ∩ C) = 0.1, and P(A
∩ B ∩ C) = 0.08.
a)What is the...
31. An instructor wants to test whether attending class influences how students perform on an exam....
31. An instructor wants to test whether attending class
influences how students perform on an
exam. There are 54 students in the class. There are 25 students who
attended the class and passed
the exam, 6 students who attended class and failed the exam, 8
students who skipped the class and
passed the exam, 15 students who skipped the class and failed
class. Please perform a statistical
test and indicate whether attending class influence the exam
performance.
a) Parametric or...
Let X be the exam grade of a student taking Calculus 1 with Professor Smith. The...
Let X be the exam grade of a student taking Calculus 1 with
Professor Smith. The professor believes that X has a mean of 76 and
a standard deviation of 12.5. Suppose there are 100 students in
Professor Smith's class. Approximate the probability that X is
between 73.8 and 77.8.
Let X be the exam grade of a student taking Calculus 1 with Professor Smith. The...
Let X be the exam grade of a student taking Calculus 1 with
Professor Smith. The professor believes that X has a mean of
81 and a standard deviation of
22. Suppose there are 100
students in Professor Smith's class.
Approximate the probability that X is
higher than 83.6 OR smaller than 79.2?
A campus student club distributed material about membership to new students attending an orientation meeting. Of...
A campus student club distributed material about membership to
new students attending an orientation meeting. Of those receiving
this material, 35% were men and 65% were women. Subsequently, it
was found that 8% of the men and 11% of the women who received
this material joined the club. Complete parts a and b below.
a. Find the probability that a randomly chosen new student who
receives the membership material will join the club. nothing
(Round to four decimal places as...
1. You have data on two variables: exam score and student preparation time for the exam...
1. You have data on two variables: exam score and student
preparation time for the exam in hours. You collect data from 6
students. (8 Points)
Student Exam Prep Time (hours) Exam Score
Student
Exam Prep Time (hours)
Exam Score
1
2
61
2
6
92
3
9
95
4
4
80
5
5
78
6
3
68
a. What will be the dependent variable and the independent
variable?
b. Construct a Scatter Plot.
c. What type of relationship do...
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