Consider flipping nn times a coin. The probability for heads is given by pp where pp...

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Consider flipping nn times a coin. The probability for heads isgiven by pp where pp is some parameter which can be chosen from theinterval (0,1)(0,1).

Write a Python code to simulate nn coin flips with headsprobability pp and compute the running proportion of heads X¯nX¯nfor nn running from 1 to 1,000 trials. Plot your results. Your plotshould illustrate how the proportion of heads appears to convergeto pp as nn approaches 1,000.

In [ ]:

### Insert your code here for simulating the coin flips and for computing the average

In [2]:

### Complete the plot commands accordingly for also plotting the computed running averages in the graph below

p = 0.25 # just an example

plt.figure(figsize=(10,5))

plt.title("Proportion of heads in 1,000 coin flips")

plt.plot(np.arange(1000),p*np.ones(1000),'-',color="red",label="true probability")

plt.xlabel("Number of coin flips")

plt.ylabel("Running average")

plt.legend(loc="upper right")

Answer & Explanation Solved by verified expert

4.5 Ratings (992 Votes)

The R code for simulating the coin toss is given below See Answer

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