SITUATION 7

(a) In testing a certain kind of truck tire over a rugged terrain, it is found out that 25% of the trucks fail to complete the test without a blowout. Suppose that 15 trucks are tested.

(a.1) What is the probability that exactly 5 trucks have blowouts?

(a.2) What is the probability that fewer than 5 trucks have blowout?

(a.3) Determine the average number of blowouts that may be encountered during the said test.

(b) A certain area of the Philippines is, on average, hit by 10 typhoons per year. 

(b.1) Find the probability that for a given year, fewer that 7 typhoons will pass the area.

(b.2) Find the probability that for a given year, anywhere between 8 and 11 typhoons will pass the area.

Write a C++ program that creates a structure called Std_Att. This structure will have two instances student1 and student2 having attibutres  Name , Rollnumber and # of attended classes in the last 6 days. E.g The number of days Student1 attends class out of 6 is 1 and is 2 for student2. What is the probability that either A alone or B alone will attend class? You can use the probability formulas below to solve this.  [15]

E1E1 be the event of attending class for ‘Student1’

E2E2 be the event of attending class for ‘Student2’

P(E1)=1/6,P(E2)=2/6

Since, E1,E2 are independent event.

P(E1∩E2)=P(E1).P(E2)

⟹P(E1∩E2)=2/36