please solve all questions with explanation Please note that question 7 has 4 an

Question

please solve all questions with explanation Please note that question 7 has 4 answers A ) 0 B) 0.35 C) 0.55 5. A two step experiment consists of: I. Ro ng a 6 sided die where each possible outcome (1,2,3 6 is equally likely, and 2. Tossing a fair coin fHead, Tail) The die roll and the coin toss are independent of each other. What is the probability of getting an odd number for the die roll and a Head for the coin toss d. 6 x 2 6. A particular computer chip needs 3 parts: 2 resistors (same type) and a LED. The parts are selected independently of each other. There are a total of m resistons and n LEDs to choose from. In how many ways can the 3 parts be selected to build the chip? a. ("tr") b. ma (m 1)(m) d. (2) x (n) For questions 7, 8, and 9 use the following information Fire load (MJ/m2) is the heat energy that could be released per square meter of floor area by combustion of contents and the structure itself. The following cumulative percentages are for fire loads in a sample of 388 rooms 150 300 450 600 750 Value 0 Cumulative 0 35 55 75 95 100 7. What proportion of fire loads are less than 300? b. 0.35 c. 0.55

Explanation / Answer

5)

there are 3 odd numbers in a dice - 1 ,3 5 : hence probability of obtaining an odd number is 3/6 = 1/2

also probability of obtaining a head/tail in a fair coin is 1/2, as the events are independent the final answer becomes

1/2*1/2 = 1/4

6) This is a simple case of combination problem, so we can select n things out of p objects in pCn ways . similarly ,

2 resistors can be selected out of m resistor is mC2 ways and 1 LED can be selected out of n LEDs in nC1 ways , so the final answer becomes

mc2*nc1 , which is d in this case

7) This is a cumulative percentage table which means each cumulative percentage is the percentage value that lies below the actual value(inclusive) . So for less than 300 (inclusive) , the value is 0.55

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