Q.No.1) Consider a company with 60 employces (45 males and 15 females). There ar
ID: 3325701 • Letter: Q
Question
Q.No.1) Consider a company with 60 employces (45 males and 15 females). There are three types of employee: A) Full time-10 employees B) Part time - 20 employees C) Casual-30 employees 15 23 If the employee chosen is full time, what is the probability that the employee is a female? Q.No.2) A company has two plants to manufacture motorcycles, 70% motor cycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motorcycles are rated of the standard quality while at the second plant, 90% are rated of standard quality. A motorcycle, randomly picked up, is found to be of standard quality. Find the probability that it has come out from the second plant. Q.No.3) In a factory which manufactures bulbs, machines X, Y and Z manufacture respectively 1000,2000, 3000 of the bulbs. Of their outputs, 1%, 1.5% and 2 % are respectively defective bulbs. A bulb is drawn at random from the product and is found to be defective. What is the probability that it is manufactured by the machine X?Explanation / Answer
Q1
Out of 10 full-time employees, 3 are female. Hence, the required probability
= 3/10 = 0.3 ANSWER
Q2
Just for convenience of understanding and presentation, let the total number of motorcycles be 100. Then, 70 of these 100 are from Plant 1 and 30 are from Plant 2.
Of the 70 of Plant 1, 56 {i.e., 80% of 70} are of standard quality.
Similarly, of the 30 of Plant 2, 27 {i.e., 90% of 30} are of standard quality.
Thus, there are in total 83 that are of standard quality of which 27 are from Plant 2.
Hence, required probability = 27/83 = 0.325 ANSWER
Q3
Number of defective bulbs: X - 1000 x 0.01 = 10; Y - 2000 x 0.015 = 30; Z - 3000 x 0.02 = 60.
Thus, in total, there are 100 defective bulbs of which 10 belong to X and hence the required probability is:
10/100 = 0.1 ANSWER
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.