Question 1 For each of the following experiments, decide whether it would be app

Question

Question 1 For each of the following experiments, decide whether it would be appropriate to use a sample space which is finite; discretely infinite; or continuous (a) The amount of cosmic radiation to which passengers are exposed during a transcontinental jet flight is measured by means of a suitable counter. (b) Five of the members of a professional society with 12,500 members are chosen to serve on a nominatng committee (c) An experiment is conducted to measure the heat of vaporization of an unknown liquid (d) A study is made to determine in how many of 450 airplane accidents the main cause is pilot error. (e) Measurements are made to determine the uranium content of a certain ore (f) In a torture test, a watch is dropped a number of times from a tall building until it stops running Question 2 Four bits are transmitted over a digital communications channel. Each bit is received either distorted or not distorted. Let A; denote the event that the ith bit is distorted, i - 1,...,4 Let d and o denote a distorted bit and one that is not distorted (o denotes okay), respectively. (a) Describe the sample space for this experiment. (b) Are the Aj's mutually exclusive? Describe the outcomes in each of the following events: (c) A (d) A£ (f) (A1A2) U (A3A4) You may either explicitly list the outcomes in the event, or give a concise description of all the outcomes in the event.

Explanation / Answer

Ans 1

Part a

This is continuous.

Part b

This is finite

Part c

It is continuous

Part d : this is finite

Part e : this is finite

Part f : this is countably infinite.

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