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3. Suppose that the authority of East West University found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course in section 3. a. Compute the probability that two or fewer will withdraw. b. Compute the probability that exactly four will withdraw. c. Compute the probability that more than three will withdraw. d. Compute the expected number of withdrawals.
4. Suppose that in Dhaka, twenty-three percent of automobiles are not covered by insurance. On a particular weekend, 35 automobiles are involved in traffic accidents. a. What is the expected number of these automobiles that are not covered by insurance? b. What are the variance and standard deviation?
Suppose that in Bangladesh, fifty percent people believe that the cricket team of Bangladesh can defeat any cricket team around the world. For a sample of 20 people, make the following calculations.
a. Compute the probability that exactly 12 people believed that the cricket team of Bangladesh can defeat any cricket team around the world.
b. Compute the probability that no more than five people believed that the cricket team of Bangladesh can defeat any cricket team around the world.
c. How many people would you expect to say that the cricket team of Bangladesh can defeat any cricket team around the world?
d. Compute the variance and standard deviation of the number of people who believed that the cricket team of Bangladesh can defeat any cricket team around the world.
An electric bulb company manufacturing company claims that the bulbs produced by them have a mean life of 1250 hours. A random sample of 25 bulbs gives an average life of 1290 hours with standard deviation of of 110 hours. Use 5% level of significance and test the claim if bulb life follows is 1250 hours.
A classifier of fake banknotes is being tested to see how reliable it can detect real banknotes from fake ones. Three confusion matrices representing 3 Days of testing was made
Day 1
n = 100
Predicted No Predicted Yes
Actual No - 15 35
Actual Yes - 8 42
Day 2
n = 100
Predicted No Predicted Yes
Actual No - 22 28
Actual Yes - 2 48
Day 3
n = 100
Predicted No Predicted Yes
Actual No - 43 7
Actual Yes - 16 34
1)Which day has the worst CSI?
A) Day 1
B) Day 2
C) Day 3
D) Insufficient Information. Cannot be determined
2)The overall F-score of the test is around? 4 decimals places
3) If the target of the study is to have a total CSI above 60% and an F-Score of above 70%, does the classifier pass? True or False
A classifier of fake banknotes is being tested to see how reliable it can detect real banknotes from fake ones. Three confusion matrices representing 3 Days of testing was made
Day 1
n = 100
Predicted No Predicted Yes
Actual No - 15 35
Actual Yes - 8 42
Day 2
n = 100
Predicted No Predicted Yes
Actual No - 22 28
Actual Yes - 2 48
Day 3
n = 100
Predicted No Predicted Yes
Actual No - 43 7
Actual Yes - 16 34
1) What Day has the best accuracy
A) Day 1
B) Day 2
C) Day 3
D) Insufficient Information. Cannot be determined
2)How many tests are there in total?
3)What is the F-Score of Day 3?
Past experience indicates that the monthly long distance telephone bill per household in a particular community is normally distributed, with a mean of Sh. 1012 and a standard deviation of Sh. 327. After an advertising campaign that encouraged people to make long distance telephone calls more frequently, a random sample of 57 households revealed that the mean monthly long distance bill was Sh. 1098. Can we conclude at the 10% significance level that the advertising campaign was successful
A life insurance company will sell a PHP 250,000 one-year term life insurance policy for members of armed forces of the Philippines for the premium of PHP 500. Let X denote the net gain from the insurance company based on the collected data of the company, a member of armed police has a 99.96% chance of surviving within one year. Let X the net gain of an insurance company from a single policy holder.
b. Given a population size of 4,3,2,4 and 2. Assume a sampling without replacement.
(a) find the population mean and standard deviation
(b) the sample mean and sample standard deviation.
A) Volume of production (X) and manufacturing expenses (Y) are recorded for 8 randomly selected firms, the data is as under:
Volume of production (X)
46
44
48
55
50
79
88
100
Manufacturing expenses (Y)
150
140
160
170
160
172
185
165
1) Determine the single coefficient correlation (r)?
2) Construct the regression equation of manufacturing expenses on volume of production. Also estimate manufacturing expenses (Y) when volume of production is 120.
3) Interpret the findings.
A social researcher wants to determine if there is any association between the age in years and height in inches. A random sample of 8 students from a school was taken and their ages and heights were recorded as follows:
Age
6
7
8
8
10
11
12
12
Height
46
47
50
51
54
54
56
57
Find the linear regression equation and compute the height of student (Y) who will be 15 years of age (X=15).
