## Question

###### (a) There are eight research projects with five projects about transportation and the rest are about marketing: The Research Director wishes to assign four projects to a research team at random: Find the probability that the team will be assigned least two projects about marketing: marks)(6) An education specialist conducted a survey t0 investigate the type of activities participated by primary school students last summer. From the results, 80% of the students participated in STEM courses. Am

(a) There are eight research projects with five projects about transportation and the rest are about marketing: The Research Director wishes to assign four projects to a research team at random: Find the probability that the team will be assigned least two projects about marketing: marks) (6) An education specialist conducted a survey t0 investigate the type of activities participated by primary school students last summer. From the results, 80% of the students participated in STEM courses. Among those students participated in STEM courses, 75% of them participated in sports courses 10% of the students participated in neither STEM courses nor sports courses. Calculate the probability that randomly selected primary school student participated in sports courses. marks) Calculate the probability that a randomly selected primary school student participated only in STEM courses Or only in sports courses. marks) (iii) It is known that randomly selected primary school student participated in sports courses, find the probability that this student participated in STEM courses marks) The employees of a company are classified mana gerial, technical and clerical staff with percentage shares of 25%, 60% and 15%, respectively: The percentages of managerial, technical and clerical staff who are satisfied with the recent salary adjustment are 65%, 78% and 60%, respectively: If three staff are selected randomly from those who are satisfied with the recent salary adjustment, what is the probability that exactly one of the three is & technical staff? marks)