Question
If 280 different quarters are inserted into the vending machine, what is the expected number of rejected quarters? B. Find the IQR of the weights of the quarters in that particular vending machine. For a final examination, four science and 4 math students are assigned alternate seats in a row of 8. A.) In how many ways can this be done if the first seat may be occupied by of any one of the 8 students? B.) What if the first seat is to be occupied by a math major, how many ways can the arrangement be done? According to FBI data, 24.9% of robberies are cleared with arrests. A new detective is assigned to 10 different robbers. A. What is the probability that at least one of them is arrest? B. What is the probability that the detective clears all 10 robberies with arrests? C. What should we conclude if the detective clears all 10 robberies with arrests? In a particular company, 15% of its employees belong to the age bracket of 20-30 y/o, 40% belong to 31-40 y/o and the rest belongs to 41 and above y/o. Of the 20-30 y/o only 30 percent of them have medical insurance, of the 31-40 y/o 55% have medical insurance while the age bracket 41 and above, 90% of them have medical insurance. If the company has 10,000 employees, how many employees do not have a medical insurance?
Explanation / Answer
4A)
Arrangement 1: M S M S M S M S
Arrangement 2: S M S M S M S M
number of required ways = (4!)*(4!) = 576
B) Required Arrangement: M S M S M S M S
Number of required arrangement = 4! = 24
