Calculating the Mean or Expected Value of the Difference of Two Random Variables

  • 1.

    Noah earns an average of $40 in a day with a deviation of 2. He spends an average of $13 with a deviation of 5. Calculate the mean value of the difference between the given random variables.

    Answers:

    • $27

    • $3

    • $15

    • $37

  • 2.

    The mean of the burgers baked in Henry's bakery in a day is 180 with a deviation of 3. The mean of the burgers sold by them in a day is 150 with a deviation of 3. What is the expected value of the difference between the given variables?

    Answers:

    • 90

    • 30

    • 3

    • 0

  • 3.

    The mean of the patients getting admitted to a hospital in a day is 6 with a deviation of 0.5. The mean of the patients getting discharged in a day is 6 with a deviation of 0.7. Select the correct mean value of the difference between the above variables.

    Answers:

    • 0

    • 0.12

    • 12

    • 6

  • 4.

    The mean of the individuals visiting a church on Fridays is 80 per hour with a standard deviation of 22. The mean of the individuals visiting the church on Sundays is 71 per hour with a standard deviation of 18. Which of the given options represents the mean value of the difference between random variables?

    Answers:

    • 4

    • 9

    • 40

    • 151

  • 5.

    The mean of the individuals going abroad in a day is 2,500 with a standard deviation of 6. The mean of the individuals returning from abroad in a day is 2,300 with a standard deviation of 5. Identify the correct expected value of the difference between these variables.

    Answers:

    • 200

    • 2,300

    • 2,500

    • 4,800

  • 6.

    The mean of the students enrolling for an IQ test is 480 with a deviation of 12. The mean of the students appearing for the test is 400 with a deviation of 15. Evaluate the mean value of the difference between the given random variables.

    Answers:

    • 400

    • 80

    • 880

    • 480

  • 7.

    The mean of the bulbs manufactured by a company in an hour is 290 with a standard deviation of 56. The mean of the bulbs detected defective in an hour is 10 with a standard deviation of 2. What is the expected value of the difference between the given variables?

    Answers:

    • 112

    • 300

    • 280

    • 54

  • 8.

    The mean of the food imported by an area is 800 metric tons with a deviation of 98. The mean of the food exported by an area is 500 metric tons with a deviation of 102. Choose the correct mean value of the difference between the above variables.

    Answers:

    • 200 metric tons

    • 300 metric tons

    • 1200 metric tons

    • 1300 metric tons

  • 9.

    The mean of the earning made by Diana in a month is $1,500 with a standard deviation of 11. The mean of the money donated by her in a month is $300 with a standard deviation of 9. Which of the given choices represents the mean value of the difference between random variables?

    Answers:

    • $1,800

    • $1,200

    • $1,500

    • $300

  • 10.

    The mean of the cars bought by a firm in a month is 87 with a deviation of 2. The mean of the cars sold by the same firm in a month is 57 with a deviation of 5. Find the correct expected value of the difference between these variables.

    Answers:

    • 30

    • 37

    • 57

    • 50

  • 11.

    The mean of the new students getting admissions to a university in a year is 1,900 with a deviation of 60. The mean of the students passing and leaving the university is 1,500 with a deviation of 55. Calculate the mean value of the difference between the given random variables.

    Answers:

    • 400

    • 40

    • 500

    • 50

  • 12.

    The mean of the cakes baked by a bakery in a month is 700 with a deviation of 51. The mean of the cakes sold by the bakery online in a month is 250 with a deviation of 11. What is the expected value of the difference between the given variables?

    Answers:

    • 850

    • 950

    • 450

    • 550

  • 13.

    The mean and the standard deviation of the insurances made by a company in a month are 480 and 10. The mean and the standard deviation of the insurances claimed by the customers in a month are 120 and 12. Select the correct mean value of the difference between the above variables.

    Answers:

    • 260

    • 120

    • 360

    • 480

  • 14.

    The mean of the individuals entering a hotel in a day is 85 with a deviation of 5. The mean of the individuals checking out from the hotel in a day is 50 with a deviation of 6. Which of the following options matches the mean value of the difference between random variables?

    Answers:

    • 85

    • 55

    • 35

    • 25

  • 15.

    The mean and the standard deviation of the individuals in an area getting spectacles for weak eyesight is 15 and 1 in a day. The mean and the standard deviation of the individuals in an area getting laser done for removing spectacles is 10 and 0.8 in a day. Determine the correct expected value of the difference between these variables.

    Answers:

    • 15

    • 25

    • 5

    • 10

  • 16.

    The mean of the profits made by a company in a year is 20 million dollars with a standard deviation of 0.75. The mean of the spending done by the same company in a year is 5 million dollars with a standard deviation of 0.95. Evaluate the mean value of the difference between the given random variables.

    Answers:

    • 25 million dollars

    • 5 million dollars

    • 15 million dollars

    • 20 million dollars

  • 17.

    The average number of chocolates Susan bought in a day is 8 with a deviation of 1. The average number of chocolates she ate in a day is 4 with a deviation of 2. What is the expected value of the difference between the given variables?

    Answers:

    • 2

    • 8

    • 4

    • 10

  • 18.

    The average number of sweaters made by Mary's grandmother in a month is 60 with a deviation of 2. The average number of sweaters sold online by Mary in a month is 50 with a deviation of 5. Choose the correct mean value of the difference between the above variables.

    Answers:

    • 5

    • 10

    • 50

    • 60

  • 19.

    The mean of the customers entering a restaurant in an hour is 15 with a deviation of 0.2. The mean of the customers leaving the restaurant in an hour is 11 with a deviation of 0.6. Which of the following choices matches the mean value of the difference between random variables?

    Answers:

    • 0.6

    • 0.2

    • 0.4

    • 4

  • 20.

    The mean and the standard deviation of the dogs visiting a veterinary in a day is 18 and 1. The mean and the standard deviation of the cats visiting a veterinary in a day is 21 and 1.3. Find the correct expected value of the difference between these variables.

    Answers:

    • 3

    • 2.3

    • 1.3

    • 21

  • 21.

    The mean of the pocket money given to John in a month is $125 with a standard deviation of 5. The mean of the money spent by him on chocolates in a month is $75 with a standard deviation of 10. Calculate the mean value of the difference between the given random variables.

    Answers:

    • $75

    • $200

    • $125

    • $50

  • 22.

    The mean and the standard deviation of the marks scored by boys in a test is 89 and 2. The mean and the standard deviation of the marks scored by girls in a test is 92 and 5. What is the expected value of the difference between the given variables?

    Answers:

    • 5

    • 2

    • 7

    • 3

  • 23.

    The mean of the children joining a swimming club in a month is 28 with a deviation of 3. The mean of the children leaving the club is 12 with a deviation of 1. Select the correct mean value of the difference between the above variables.

    Answers:

    • 18

    • 14

    • 16

    • 12

  • 24.

    The mean of the garlands made by a flower shop worker in a day is 20 with a standard deviation of 1. The mean of the garlands sold by the flower shop in a day is 19 with a standard deviation of 2. Which of the given options best suits the mean value of the difference between random variables?

    Answers:

    • 1

    • 2

    • 4

    • 3

  • 25.

    The mean of the money invested in a business is $70,000 in a year with a deviation of 500. The mean profit earned in a year is $80,000 with a deviation of 800. Identify the correct expected value of the difference between these variables.

    Answers:

    • $80,000

    • $10,000

    • $70,000

    • $1,50,000

  • 26.

    The mean of the travels booked by a company in a day is 590 with a deviation of 17. The mean of the travels canceled by the customers in a day is 50 with a deviation of 20. Evaluate the mean value of the difference between the given random variables.

    Answers:

    • 440

    • 40

    • 540

    • 3

  • 27.

    The mean number of men applying for a certain job in a company in a year is 180 with a standard deviation of 30. The mean number of women applying for the same job in a company in a year is 200 with a standard deviation of 40. What is the expected value of the difference between the given variables?

    Answers:

    • 30

    • 40

    • 10

    • 20

  • 28.

    The mean of the children entering a park in an hour is 15 with a standard deviation of 0.5. The mean of the children leaving the park is 12 with a deviation of 0.8. Choose the correct mean value of the difference between the above variables.

    Answers:

    • 0.8

    • 3

    • 8

    • 0.3

  • 29.

    The mean of the daily calories consumed by James is 2,000 with a deviation of 70. The mean of the calories burned by him in a day is 1,800 with a deviation of 100. Which of the given choices best suits the mean value of the difference between random variables?

    Answers:

    • 1,800

    • 800

    • 2,000

    • 200

  • 30.

    The mean and the standard deviation of the money made by an organization in a month are $50,000 and 59. The mean and the standard deviation of the money given to the employees in a month are $43,000 and 70. Find the correct expected value of the difference between these variables.

    Answers:

    • $43,000

    • $50,000

    • $7,000

    • $17,000

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