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Statistics and Probability
Suppose that a sample of 1000 household was initially selected and the respondents were asked whether they planned to purchase a large DASCO TV. Twelve months later the same respondents were asked whether they actually purchased the television. The results are summarized in the table below
Planned
To purchase. Yes No Total
Yes 200 50 250
No 100 650 750
Total 300 700 1000
i. Draw a tree diagram to represent the information in the table.
ii. Find the probability of selecting a respondent who actually purchased a large television. Interpret your answer in a simple single sentence.
iii. Compute the marginal probability of planning to purchase a large television.
iv. Find the probability of panned purchase or actual purchase.
v. Calculate the probability that a respondent actually purchased the large television given that he or she planned to purchase.
Statistics and Probability
The height of the students in a certain class is following normal distribution with mean height as 165 cm and standard deviation of 25 cm. There are 60 students in that class. Determine
Find the lowest height among the tallest 5 student in a class
Find the lowest height among the tallest 5 student in a class
Statistics and Probability
There are two bags,one bag contains 4 white and 2 black balls, second bag contains 5 white and 4 black balls. 2 balls are transferred from the first bag to the second bag, then one ball is taken from the second bag. Find the probability that it is a white ball.
Statistics and Probability
Suppose an item is manufactured by three machines X, Y and Z. All the machines have equal capacity and are operated at the same rate. It is known that the percentage of defective items produced by X, Y and Z are 2, 7 and 12 percent respectively. All the items produced by X,Y and Z are put into one bin.from this bin one item is drawn at random and is found to be defective. What is the probability that this item was produced by Y?.
Statistics and Probability
Two computers A and B are to be marketed. A sales man who is assigned the job of finding customer for them as 60% and 40% chances respectively of succeeding for computer A and B. The two computers can be sold independently. Given that he was able to sell at least one computer.
1.what is the probability that computer A has been sold?.
2.what is the probability that computer B has been sold?.
1.what is the probability that computer A has been sold?.
2.what is the probability that computer B has been sold?.
Statistics and Probability
Two computers A and B are to be marketed. A sales man who is assigned the job of finding customer for them as 60% and 40% chances respectively of succeeding for computer A and B. The two computers can be sold independently. Given that he was able to sell at least one computer.
1.what is the probability that computer A has been sold?.
2.what is the probability that computer B has been sold?.
1.what is the probability that computer A has been sold?.
2.what is the probability that computer B has been sold?.
Statistics and Probability
A piece of equipment will function only when the three components A, B and C are working. The probability of A failing during one year is 0.15, that of B failing is 0.05 and that of C failing is 0.1. what is the probability that the equipment will fail before the end of the year?
Statistics and Probability
In continuation with the data of performance scores of employees in previous example, perform the following:
a. Calculate the range and interquartile range
b. Calculate the z scores
c. Calculate the skewness and Kurtosis (using excel)
d. Comment on the distribution of the data
table below
52 33 70 95 57 61 47 60 57 64 54 94 38 61 89 48 50 39 94 63 59 31 88 46 68 88 93 48 82 82 72 73 74 70 92 76 98 91 80 68 32 33 31 75 54 48 62 53 36 64 63 66 92 98 91 42 36 54 71 86 84 55 33 43 91 34 64 67 89 78 47 62 97 92 53 56 68 55 36 67 93 42 51 77 36 93 51 66 44 66 63 33 68 79 92 76 83 53 86 76 35 40 43 46 55 41 36 39 42 96 42 77 60 53 38 51 95 56 93 63 48 69 49 33 95 37 83 64 83 62 96 34 85 32 40 85 39 59 77 62 35 34 39 92 54 89 36 45 83 34 86 90 39 61 88 86 55 33 77 40 69 54 30 38 79 77 44 59 95 34 38 91 80 90 58 40 88 45 95 71 80 43 89 53 61 40 31 61 58 53 88 94 91 63 60 94 98 53 53 45 50 34 75 74 90 98 87 66
a. Calculate the range and interquartile range
b. Calculate the z scores
c. Calculate the skewness and Kurtosis (using excel)
d. Comment on the distribution of the data
table below
52 33 70 95 57 61 47 60 57 64 54 94 38 61 89 48 50 39 94 63 59 31 88 46 68 88 93 48 82 82 72 73 74 70 92 76 98 91 80 68 32 33 31 75 54 48 62 53 36 64 63 66 92 98 91 42 36 54 71 86 84 55 33 43 91 34 64 67 89 78 47 62 97 92 53 56 68 55 36 67 93 42 51 77 36 93 51 66 44 66 63 33 68 79 92 76 83 53 86 76 35 40 43 46 55 41 36 39 42 96 42 77 60 53 38 51 95 56 93 63 48 69 49 33 95 37 83 64 83 62 96 34 85 32 40 85 39 59 77 62 35 34 39 92 54 89 36 45 83 34 86 90 39 61 88 86 55 33 77 40 69 54 30 38 79 77 44 59 95 34 38 91 80 90 58 40 88 45 95 71 80 43 89 53 61 40 31 61 58 53 88 94 91 63 60 94 98 53 53 45 50 34 75 74 90 98 87 66
Statistics and Probability
Question 1: A company has made available to its employees (without charge) extensive health club facilities that may be used before work, during the lunch hour, after work, and on weekends. Records for the last year indicate that of 250 employees, 110 used the facilities at some time. Of 170 males employed by the company, 65 used the facilities. What is the probability that an employee chosen at random.
d. Is a female or has used the health club facilities?
e. Given that the selected employee is female, what is the probability that she has used the health club facilities?
f. Given that the selected employee is male, what is the probability that he has not used the health club facilities?
d. Is a female or has used the health club facilities?
e. Given that the selected employee is female, what is the probability that she has used the health club facilities?
f. Given that the selected employee is male, what is the probability that he has not used the health club facilities?
Statistics and Probability
○student population of a university consists of 30% asians, 40% americans, 20% europeans, 10% africans. It is known that 40% of all asian students, 50% of all american students, 60% of all european students and 20% of all african students are girls. Find the probability that a girl chosen at random from the university is an Asian.
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#339914 on Dec 2023
#339914 on Dec 2023