Mean-nr-11-10.ipynb

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       "meanval11and10 (generic function with 1 method)"
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   "source": [
    "using Distributions, Random\n",
    "function count10_11()\n",
    "    Random.seed!(rand(UInt))\n",
    "    bits = rand(Bernoulli(0.5), 100)\n",
    "    pairs = [bits[k:k+1] for k in 1:99]\n",
    "    na = length(filter(x->sum(x)==2, pairs))\n",
    "    nb = length(filter(x->x==[1, 0], pairs))\n",
    "    return (na, nb)\n",
    "end\n",
    "\n",
    "function meanval11and10(;N=1000)\n",
    "    sA=Int[] #Alice\n",
    "    sB=Int[] #Bob \n",
    "   \n",
    "    for _ in  1:N\n",
    "        na, nb = count10_11()\n",
    "        push!(sA, na)\n",
    "        push!(sB, nb)\n",
    "    end    \n",
    "    mean(sA), mean(sB) #mean for  number of na, resp nb, in N experiments of counting\n",
    "end    "
   ]
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     "execution_count": 11,
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    "\n",
    "\n",
    "meanval11and10(;N=10^2)"
   ]
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       "(24.688, 24.721)"
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     "execution_count": 12,
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   "source": [
    "meanval11and10(;N=10^3)"
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   "cell_type": "code",
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     "execution_count": 13,
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    "meanval11and10(;N=10^4)"
   ]
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   "cell_type": "code",
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       "(24.75928, 24.75502)"
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     "execution_count": 14,
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   "source": [
    "meanval11and10(;N=10^5)"
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    "99/4"
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