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FY SET1R1 Mathematics (April 2025)

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Borachio works in an automotive tire factory. The number X of sound but blemished tires that he produces on a random day has the probability distribution

2

3

4

5

0.48

0.36

0.12

0.04

           

Compute the mean and standard deviation of X.

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Borachio works in an automotive tire factory. The number X of sound but blemished tires that he produces on a random day has the probability distribution

2

3

4

5

0.48

0.36

0.12

0.04

           

Find the probability that Borachio will produce at most two blemished tires tomorrow.

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Borachio works in an automotive tire factory. The number X of sound but blemished tires that he produces on a random day has the probability distribution

2

3

4

5

0.48

0.36

0.12

0.04

           

Find the probability that Borachio will produce more than three blemished tires tomorrow.

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0%
100%
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Applicants for an assembly job are required to take a test of manual dexterity. The times, in seconds, taken to complete the task by 17 applicants were as follows: 63, 77, 49, 74, 67, 59, 66, 102, 81, 72, 59, 74, 61, 82, 48, 70, 86. 

In above test, the third quartile is …

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Applicants for an assembly job are required to take a test of manual dexterity. The times, in seconds, taken to complete the task by 17 applicants were as follows: 63, 77, 49, 74, 67, 59, 66, 102, 81, 72, 59, 74, 61, 82, 48, 70, 86.

The first quartile is …......

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The following table shows data about the time taken, in seconds to the nearest

second, for completing each one of a series of 75 similar chemical experiments.

The meantime of the given data(2D) is

Time

Number

of experiments

50-60

4

61-65

13

66-70

26

71-75

22

76-86

10

Total

75

 

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An unbiased coin is tossed 3 times, if the third toss gets head what is the probability of getting at least one more head?

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In an African country, license plate consists of a letter other than I or O followed by 3 digits, the first of which cannot be zero, followed by any two letters which are not repeated. How many different cars license plates can be produced?

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On a certain examination, the student must answer 8 out of the 12 questions, including exactly 5 of the first 6. In how many ways may he write the examination?

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Company A produces 10% defective products; Company B produces 20% defective products and C produces 5% defective products. If choosing a company is an equally likely event, then find the probability that the product chosen is defective.

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