Chapter 1. Tutorial: Binomial Computations

1.1 Problem Statement

{50,55,60,65,70,75,80}
rand(0,6)
@basketball[$basketballindex]
{0.0078125,0.0037367,0.0016384,0.0006434,0.0002187,0.0000610,0.0000128}
@missesall[$basketballindex]
{0.0078125,0.0152244,0.0279936,0.0490223,0.0823543,0.1334839,0.2097152}
@makesall[$basketballindex]
{0.0546875,0.0319695,0.0172032,0.0083641,0.0035721,0.0012817,0.0003584}
@makesone[$basketballindex]
{0.7734,0.8471,0.9037,0.9444,0.9712,0.9871,0.9953}
@makesthree[$basketballindex]
{0.266,0.1529,0.0963,0.0556,0.0288,0.0129,0.0047}
@makestwo[$basketballindex]
{0.7109,0.6479,0.5613,0.4587,0.3491,0.2422,0.1477}
@makestwofour[$basketballindex]
{10,12,15,17,20,25,30}
rand(0,6)
@throw[$throwindex]
{7,8.4,10.5,11.9,14,17.5,21}
@makepart2[$throwindex]
{3,3.6,4.5,5.1,6,7.5,9}
@misspart2[$throwindex]
{1.45,1.59,1.77,1.89,2.05,2.29,2.51}
@goodpart2[$throwindex]
{1.45,1.59,1.77,1.89,2.05,2.29,2.51}
@badpart2[$throwindex]

A basketball player makes $basketball% of her free throws. Suppose that she takes 7 free throws in a game.

1.2 Step 1

questions

Question 1.1

qNUJxM4+CY+oy4Fsds8CgECMLdvQMUS4yHWDRQbHZlk0TvgczeDKluORvVLKbxIqm19qO1qTJM5Fk25kVcNbiX4itUTgv/GKnUIwRQ1etnvjmBmd0L31v9Qr+mPmyeWJBwtFRZnfzVD2zSRrGNmltP3HtHqEcCDLcSfKJzPpA7Y7x8YRgtlVZPqEBSJl0rabHFmQ9HGMROTNYuhLWu7RmiYzTtJF2gMiUdHjIymq+9s136BdzXKR1qNyQf+PAOjPDTGjwkkf5XjoexQVVh9xh0+6nMCpwCXp
Correct.
Incorrect.

Question 1.2

xTRlTWmUUcGXMX6Cj6FQER8G0NJy22U463QIxcuFFdhJ4R2KjcE75JeUcPMxMIKBpV0ddmdIoulAe5q1yD4yWJDy54FO4LipYnY77n+AVAyplxq1e/6z5CH+AKDir6+5kQgZGxCe9yOJe1YPnkd1OUlsxIkuBZpS0i50Wwbl48qW9iT7YThjQjuVTF48QbWznAS0N+5zCD40myW/8u8S7MAz/2Qvt9MtF8pr40b7EGQpNg3v8ChqK6e9KAjxnOtoWWRlqOebPk+s4X4GR3RP70/KyEk=
Correct.
Incorrect.

Question 1.3

kVxHseehQ4NJlKLjV6xopFD0JIGm1AgS6YCIUjehQXs3aodo4vtbXnBSzAZ38WHFJdu4RtUifGwu1GrUenHo+un6MStq9LxzgRI4dyG0YesapdQBEhZAptZ18G8FHfmvWoWnnMLUJfeaYK/XsZhSi5WZIKqbKDN6wW504m4qMiPoPpAfbvNc+du2fe1uu3F3fKVXxOqnjqllvs2zdEhg0iLAc7Ap2xLgkzsRxSbfYflzQ5LpGFa5G9af5HqQpAqZYlBxYmEXHDPj3WtsIacRlA==
Correct.
Incorrect.

1.3 Step 2

Question 1.4

QtzGxqYeTEbueYnZ66vFrk8LgHIWBAaTgR5g77IBmq3mmn5CpEI3GykHYgOM3U8ke3EEb5p6+RKfjPWX3nGT7l9uXfiOvdwHJbUaDJ29OBFWDueWw0Hb1z1J6raF0z5NxzxL/Xnt10swlXbfxf4LqREeJoo68VRU4ytGh0+MiI7vD7y5NFLp5/lH2Qc9H0xO+7iun2MASP9aUwFXIPoRaffnts7mncFctig1nQAbzQzEt9PSOvnYeT6/h2eCpPPa5hC1tESighNC82fs+fGAsD5BHi9gflQv
Correct.
Incorrect.

Question 1.5

enzPUWHskY5Gl6amktBVMeaQiAcC+zA9kjngeSGknlzL13asHrL6mnE3IKA1srVuIerlfSLTDohSiXbBgzzrmpR2UMCc/SRdKk3XTp+KcfX2q8EoMTaTxH9HjG6W7xbZsWwOwUp8hmyasvLaqR/a557H36KzZre4T8aWeTl8PmKNjJElnhqa9PHHVZRl0FtEIf/ZKQ4RH82Twk2JNxDlviUt+Sul05uhU9G74BeDGnYpfZMNUGhH/y/A4TgB2KhkwP5HSodPepjZh6WSmprlPlilptQ=
Correct.
Incorrect.

Question 1.6

aZDMLJyDFqmIz1plEDveH75a+xDMRGgPly7nzAk41+AHhvQdYtazHQW1GVbypCjypVJmCNJ6ddfUjKapsLs8ThaPEpDIzNnUc1YtYvv8peOr95Yh6KmR1sJMKBJvkWztEv1J3rvtR+SEMxgibbYLOgu5GQGX432m/GdCHcCaoj1CiCsaQYwK73xTPsXZqJ7dVWC0NI5WTDhCSFFQ6sHJDt41kKQ2/4c8q4aTQZ5qdGaoSM9UXKDxaYzA93aoXo6+FT42lNlXubLMclj0vYTYgxy6PRBl2+7ZwykxHm9BZjV88JWotprJgA==
Correct.
Incorrect.

1.4 Step 3

Suppose that another basketball player makes 70% of her free throws. Suppose that she takes $throw free throws in a game.

Question 1.7

G0ouGwo5tAbHYhsl9uBs5x+GaJbB/5NoBEN73FBO+m2qS7qE8WxKvAORr66FlMFyizJJ76g+uhI9HBKe0QKdQ8TDHyQBK/JYHJQOZZUDbgdMpXCb
Correct.
Incorrect.

Question 1.8

fatm5EKBmZ5AV7WSWVSNm1DrQ0584X9nhY4Rr3mtRWvZ5CZB2LVmFWMvjcLr8N3Xq7w9+ekGopzBdpO29cUoidWL9A6BN2uZozixw7zPC2daHF9R
Correct.
Incorrect.

Question 1.9

zFFvH/5yxHGc9if50Nj5VlSq6PCE7oT7a/jzuih1NN8GkW75I+hApGmipKyBkR3uCxWlcdxmV9b8LNlYFixlwErtyl+9Yt22isUH/M0PE55eWwXwUUOP6PVfsn4IB5m0kyJ1NxhCZ9wqyGpTVGmCvfEY0LllJgbCe67YyzNLwfKn4yfmfHbpDNe9tVyPMO5/
Correct.
Incorrect.

Question 1.10

5OlQ97Ty/IaudG/DBbfo6IDsaKEv/YSpy/BtT4b1D5KBap7vurSVyJ3D3ddO1C2GIpNINb9JGtLiYKUo+stdEpTGFWYbVaj+j1EGJz8xSQTroVHCHMcpHdSL2tRjeTLSoqLEh/0rQrrYqo5VMzfETKScUEKTqE2gOHn+wbIrkqk9P3Vvr3i563KZlSoJksM/
Correct.
Incorrect.