# Statistics MCQs – Discrete Distributions Part 3

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41. It is believed that 75 % of STA1000S students got A՚s for their final matric exams. Ten students are randomly chosen. What is the probability that at most 7 of the 10 students got A՚s for matric?

a. 0.617

b. 0.851

c. 0.972

d. 0.474

e. 0.756

42. It is believed that 75 % of STA1000S students got A՚s for their final matric exams. Ten students are randomly chosen. What is the probability that at most 8 of the 10 students got A՚s for matric?

a. 0.617

b. 0.851

c. 0.972

d. 0.474

e. 0.756

43. Forty percent of the passengers who fly on a certain route do not check in any luggage. The planes on this route seat 15 passengers. What is the probability that at most 9 passengers on a full flight check in their luggage?

a. 0.597

b. 0.966

c. 0.128

d. 0.755

e. 0.278

44. Forty percent of the passengers who fly on a certain route do not check in any luggage. The planes on this route seat 15 passengers. What is the probability that at most 9 passengers on a full flight do not check in their luggage?

a. 0.597

b. 0.966

c. 0.128

d. 0.755

e. 0.278

45. Forty percent of the passengers who fly on a certain route do not check in any luggage. The planes on this route seat 20 passengers. What is the probability that at most 9 passengers on a full flight check in their luggage?

a. 0.597

b. 0.966

c. 0.128

d. 0.755

e. 0.278

46. Forty percent of the passengers who fly on a certain route do not check in any luggage. The planes on this route seat 20 passengers. What is the probability that at most 9 passengers on a full flight do not check in their luggage?

a. 0.597

b. 0.966

c. 0.128

d. 0.755

e. 0.278

47. Thirty percent of the passengers who fly on a certain route do not check in any luggage. The planes on this route seat 15 passengers. What is the probability that at most 9 passengers on a full flight check in their luggage?

a. 0.597

b. 0.966

c. 0.128

d. 0.755

e. 0.278

48. If X ~B (6,0.25) , what is P (X < 3) ?

a. 0.831

b. 0.959

c. 0.756

d. 0.577

e. 0.812

49. If X ~B (6,0.40) , what is P (X < 5) ?

a. 0.831

b. 0.959

c. 0.756

d. 0.577

e. 0.812

50. If X ~B (7,0.25) , what is P (X < 3) ?

a. 0.831

b. 0.959

c. 0.756

d. 0.577

e. 0.812

51. If X ~B (7,0.20) , what is P (X < 2) ?

a. 0.831

b. 0.959

c. 0.756

d. 0.577

e. 0.812

52. If X ~B (5,0.50) , what is P (X < 4) ?

a. 0.831

b. 0.959

c. 0.756

d. 0.577

e. 0.812

53. A study conducted at a certain university shows that 40 % of the university՚s graduates obtain a job in their chosen field within one year after graduation. 15 graduates are selected at the university at random one year after graduation. What is the probability that at least 8 of them will have found a job in their chosen field?

a. 0.213

b. 0.034

c. 0.390

d. 0.696

e. 0.412

54. A study conducted at a certain university shows that 40 % of the university՚s graduates obtain a job in their chosen field within one year after graduation. 15 graduates are selected at the university at random one year after graduation. What is the probability that at least 10 of them will have found a job in their chosen field?

a. 0.213

b. 0.034

c. 0.390

d. 0.696

e. 0.412

55. A study conducted at a certain university shows that 40 % of the university՚s graduates obtain a job in their chosen field within one year after graduation. 15 graduates are selected at the university at random one year after graduation. What is the probability that at least 7 of them will have found a job in their chosen field?

a. 0.213

b. 0.034

c. 0.390

d. 0.696

e. 0.412

56. A study conducted at a certain university shows that 50 % of the university՚s graduates obtain a job in their chosen field within one year after graduation. 15 graduates are selected at the university at random one year after graduation. What is the probability that at least 7 of them will have found a job in their chosen field?

a. 0.213

b. 0.034

c. 0.390

d. 0.696

e. 0.412

57. A study conducted at a certain university shows that 50 % of the university՚s graduates obtain a job in their chosen field within one year after graduation. 20 graduates are selected at the university at random one year after graduation. What is the probability that at least 11 of them will have found a job in their chosen field?

a. 0.213

b. 0.034

c. 0.390

d. 0.696

e. 0.412

58. Forty percent of the passengers who fly on a certain route do not check in any luggage. The planes on this route seat 15 passengers. What is the probability that 9 or more passengers on a full flight check in their luggage?

a. 0.610

b. 0.095

c. 0.944

d. 0.404

e. 0.869

59. Forty percent of the passengers who fly on a certain route do not check in any luggage. The planes on this route seat 15 passengers. What is the probability that 9 or more passengers on a full flight do not check in their luggage?

a. 0.610

b. 0.095

c. 0.944

d. 0.404

e. 0.869

60. Forty percent of the passengers who fly on a certain route do not check in any luggage. The planes on this route seat 20 passengers. What is the probability that 9 or more passengers on a full flight check in their luggage?

a. 0.610

b. 0.095

c. 0.944

d. 0.404

e. 0.869