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Brian and Jennifer are planning to get married at the end of the year. They read that certain diets are healthier for specific blood types and hope that they both have the same blood type. Unfortunately, neither Brian nor Jennifer can remember their blood type.
Suppose a recent study shows that 25% of adults have blood type A, 28% of adults have blood type B, 34% of adults have blood type AB, and 13% of adults have blood type O. The tree diagram shows the possible outcomes for Brian and Jennifer along with their associated probabilities.
What is the probability that Brian and Jennifer share the same blood type? Give your answer as a decimal, precise to at least two decimal places.
This Venn diagram shows the makeup of attendees at a college social event sponsored by the French Club. The event is open to all students. There are 20 students at the party who are fluent in French. There are 35 students at the party who are fluent in English. There are 115 students at the party.
Use the Venn diagram and given information to find the probability that a student selected at random is fluent in both French and English. Assume the chance of being selected is the same for each student. Express your answer as a percentage rounded to one decimal place
The following is two years monthly sales data of 5 different outlets of a well-known textile brand. You are required to perform the analysis and answer the questions given below.
Brand
Sales in million Rs.
A
41
40
24
44
33
37
35
28
39
33
30
25
39
33
31
31
B
31
33
48
50
41
48
57
46
50
36
38
38
43
47
36
57
C
53
51
44
56
49
47
59
54
50
55
59
49
40
47
55
47
41
47
D
52
58
54
57
58
39
53
56
56
60
46
54
57
57
63
48
58
56
55
64
54
52
E
44
68
68
69
60
63
57
56
53
60
61
66
70
72
62
57
70
72
55
70
64
63
a. Write the null and alternate Hypothesis for the first two outputs.
b. Develop the ANOVA table for the calculation of “f distribution” value.
c. Find out the two critical values of “f distribution”.
d. Write the conclusion of the test.
Increase in advertising expenditure (%) 0 5 15 20 25 30 35 40
Increase in sales (%) 5 10 18 25 35 50 60 65
a. Determine the value of ∑X, ∑X2, ∑Y, ∑Y2, ∑XY. Where X represent independent variable and Y for dependent variable.
b. Determine and interpret the coefficient of correlation between the two variables.
c. Determine the value of regressions coefficients and write down the simple linear regression model.
d. Test the validity of the model with the help of ANOVA.
e. Determine the tabulated values of “f” distribution at 0.1 level of significance.
f. What does “R square” measure? What is its value and interpret it?
You recently received a job with a company that manufactures an automobile antitheft device. To conduct an advertising campaign for the product, you need to make a claim about the number of automobile thefts
per year. Since the population of various cities in the United States varies, you decide to use rates per 10,000
people. (The rates are based on the number of people living in the cities.) Your boss said that last year the
theft rate per 10,000 people was 44 vehicles. You want to see if it has changed. The following are rates per
10,000 people for 36 randomly selected locations in the United States.
Using this information, answer these questions.
1. What hypotheses would you use?
2. Is the sample considered small or large?
3. What assumption must be met before the hypothesis test can be conducted?
4. Which probability distribution would you use?
5. Would you select a one- or two-tailed test? Why?
6. What critical value(s) would you use?
7. Conduct a hypothesis test. Use δ=30.3.
8. What is your decision?
9. What is your conclusion?
10. Write a brief statement summarizing your conclusion.
11. If you lived in a city whose population was about 50,000, how many automobile thefts per year would you expect to occur?
A lot consists of 10 good articles, 4 articles with minor defects and 2 with major defects. Two articles are chosen at random from the lot (without replacement) Find the probability that: (a) both are good(b) both has major defects, (c) at least 1 is good (d) neither has major defects, (e) neither is good
A normally distributed random variable has a standard deviation . A sample was drawn, and a 95% confidence interval for the mean was calculated to be (70.467; 73.733). The experimenter subsequently lost the original data. Tell him what the sample size he drew
Mr Mukonda’s perfomance of his 170 Biostatistics class of students is given in an incomplete distribution below.
Variable 0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequence 12 21 f1 40 f2 26 18
(a) If the median is 35. Find the missing frequences [10]
(b) From Rusangu passing mark policy(40%), explain if these results are normally distributed
At the ministry of Health headquaters, you are in charge of rationing Southern province the area affected by hunger.
The following reports about daily calorier value of food available per adult during current period arrive from your local investigators. The estimated requirement of an adult is taken at 3000 calories per day and the absolute minimum at 1250. Advise the ministry by commenting on the reported figures and determine which in your own opinion needs more urgent attention
Areas of Kaoma
Gwembe with the Mean of 2580 and Standard deviation of 700.
Namwala with the Mean of 2300 and Standard deviation of 500.
Create a Matlab script in an m-file which does all of the following. Name this file Hwk2.m. All commands should be followed by a semi-colon; so that when the script is run, nothing gets displayed to the screen. To receive full credit, you must use the exact variables names given below, and you must not have any terms getting printed to the screen. A random walk is represented by a vector beginning with 0 and where each subsequent entry in the vector is attained from the previous entry by adding a random choice of either 1 or -1. For example, a random walk might begin [0,-1,0,1,2,3,2,3,2,3,4,3,2,3,4,5]. For this homework, our random walks will always continue until we reach an entry of absolute value 10. We will investigate how many steps it takes before we reach an entry of absolute value 10. Some of the questions below require you to use a function in Matlab which we haven’t discussed yet. To find the names of these functions use the lookfor command. For example, to find the command for producing a histogram, try to type “lookfor histogram” in the command window. If that doesn’t work, you can also do some googling.
1. Make a vector “v” containing the lengths of 5,000 different random walks, each of which ends when it reaches an entry of absolute value 10. (This is the main part of this homework.)
2. Define a variable “vmin” which is the minimum value in v.
3. Define a variable “vmax” which is the maximum value in v.
4. Define a variable “vmean” which is the mean value of the elements in v, rounded to the nearest integer.
5. Define a variable ”vmedian” which is the median value of the elements in v.
6. Plot a histogram of the elements in v.
#339914 on Dec 2023