An experiment consisted of tossing 4 dishonest coins-penny, nickel, dime, quarte

Question

An experiment consisted of tossing 4 dishonest coins-penny, nickel, dime, quarter-with P(H) = 0.6 for each coin. A computer produced the table to the right below, for a simulation of the whole experiment 8000 times. a. In the HHHH line, how did the computer calculate 0.1291? b. What is the probability of at least one tail (T), according this simulation? P(at least one T) = c. Is the probability you computed in (b) an empirical probability or a theoretical probability? When people fold their hands together with in fingers either the right thumb ends up on top or the left thumb ends up on top. The table shows the data from one group of people. Based on this data are the events "right thumb on top" and "male" independent events. Justify your answer.

Explanation / Answer

5. a) 1033 / 8000 = .129125

b) P(Atleast 1 one T) = 1 - P(All are Heads) = 1 - 0.1291 = 0.8709

c)

Part (B) is Emprirical probability

6.

From the given data

P(Right thumb on top and Male ) = 18/100=0.18

P(Right thumn on top) = 60/100 = 0.60

P(Male) = 30/100 = 0.30

By Independent condition,

P(Right thumb on top) * P(Male) = 0.60 * 0.30

= 0.18 = P(Right thumb on top and Male )

Hence,the events Right thumb on top and Male are independent

Male Female Right 18 42 60 Left 12 28 40 30 70 100

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