₁. ᴡʜɪᴄʜ ᴏꜰ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ʀᴇᴘʀᴇꜱᴇɴᴛꜱ ᴀ ᴅɪꜱᴄʀᴇᴛᴇ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇ? ᴀ. ᴛʜᴇ ᴡᴇɪɢʜᴛ ɪɴ ᴋɪʟᴏɢʀᴀᴍꜱ ᴏꜰ ʀᴀɴᴅᴏᴍʟʏ ꜱᴇʟᴇᴄᴛᴇᴅ ꜱᴇɴɪᴏʀ ʜɪɢʜ ꜱᴄʜᴏᴏʟ ꜱᴛᴜᴅᴇɴᴛꜱ. ʙ. ᴛʜᴇ ᴛɪᴍᴇ ɪᴛ ᴛᴀᴋᴇꜱ ᴀ ꜱᴛᴜᴅᴇɴᴛ ᴛᴏ ꜰɪɴɪꜱʜ ᴀɴꜱᴡᴇʀɪɴɢ ᴛʜᴇ ᴍɪᴅᴛᴇʀᴍ ᴇxᴀᴍꜱ. ᴄ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴘᴀᴛɪᴇɴᴛꜱ ᴡʜᴏ ᴇxᴘᴇʀɪᴇɴᴄᴇ ꜱɪᴅᴇ ᴇꜰꜰᴇᴄᴛꜱ ᴀꜰᴛᴇʀ ᴛᴀᴋɪɴɢ ᴀɴᴛɪʙɪᴏᴛɪᴄꜱ. ᴅ. ᴀ ᴘᴀᴛɪᴇɴᴛ’ꜱ ʙᴏᴅʏ ᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇ ʀᴇᴀᴅɪɴɢ ɪɴ ₀ᴄ.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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₁. ᴡʜɪᴄʜ ᴏꜰ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ʀᴇᴘʀᴇꜱᴇɴᴛꜱ ᴀ ᴅɪꜱᴄʀᴇᴛᴇ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇ?
ᴀ. ᴛʜᴇ ᴡᴇɪɢʜᴛ ɪɴ ᴋɪʟᴏɢʀᴀᴍꜱ ᴏꜰ ʀᴀɴᴅᴏᴍʟʏ ꜱᴇʟᴇᴄᴛᴇᴅ ꜱᴇɴɪᴏʀ ʜɪɢʜ ꜱᴄʜᴏᴏʟ ꜱᴛᴜᴅᴇɴᴛꜱ.
ʙ. ᴛʜᴇ ᴛɪᴍᴇ ɪᴛ ᴛᴀᴋᴇꜱ ᴀ ꜱᴛᴜᴅᴇɴᴛ ᴛᴏ ꜰɪɴɪꜱʜ ᴀɴꜱᴡᴇʀɪɴɢ ᴛʜᴇ ᴍɪᴅᴛᴇʀᴍ ᴇxᴀᴍꜱ.
ᴄ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴘᴀᴛɪᴇɴᴛꜱ ᴡʜᴏ ᴇxᴘᴇʀɪᴇɴᴄᴇ ꜱɪᴅᴇ ᴇꜰꜰᴇᴄᴛꜱ ᴀꜰᴛᴇʀ ᴛᴀᴋɪɴɢ ᴀɴᴛɪʙɪᴏᴛɪᴄꜱ.
ᴅ. ᴀ ᴘᴀᴛɪᴇɴᴛ’ꜱ ʙᴏᴅʏ ᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇ ʀᴇᴀᴅɪɴɢ ɪɴ ₀ᴄ.

₂. ᴡʜɪᴄʜ ᴏꜰ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇꜱ ɪꜱ ᴄᴏɴᴛɪɴᴜᴏᴜꜱ?
ᴀ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴅᴇꜰᴇᴄᴛɪᴠᴇ ᴄᴇʟʟᴜʟᴀʀ ᴘʜᴏɴᴇꜱ ɪɴ ᴀ ʙᴏx ᴏꜰ ₂₀. ʙ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ
ʀᴀꜰꜰʟᴇ ᴛɪᴄᴋᴇᴛꜱ ꜱᴏʟᴅ ꜰᴏʀ ᴀ ᴘᴀʀᴛɪᴄᴜʟᴀʀ ᴇᴠᴇɴᴛ.
ᴄ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴄᴏʀʀᴇᴄᴛ ᴀɴꜱᴡᴇʀꜱ ɪɴ ₂₀-ɪᴛᴇᴍ ᴍᴜʟᴛɪᴘʟᴇ ᴄʜᴏɪᴄᴇ ᴛᴇꜱᴛ.
ᴅ. ᴛʜᴇ ᴛɪᴍᴇ ʀᴇQᴜɪʀᴇᴅ ᴛᴏ ꜰɪɴɪꜱʜ ᴀ ᴄᴇʀᴛᴀɪɴ ᴊᴏʙ.

₃. ᴀɴ ᴜʀɴ ᴄᴏɴᴛᴀɪɴꜱ ₅ ʙᴀʟʟꜱ. ᴇᴀᴄʜ ʙᴀʟʟ ɪꜱ ʟᴀʙᴇʟᴇᴅ ᴡɪᴛʜ ɴᴜᴍʙᴇʀꜱ ₀, ₁, ₂, ₃, ᴀɴᴅ ₄. ᴀ
ᴘᴇʀꜱᴏɴ ʀᴀɴᴅᴏᴍʟʏ ᴅʀᴀᴡꜱ ᴏɴᴇ ʙᴀʟʟ. ʟᴇᴛ x ʙᴇ ᴛʜᴇ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇ ꜰᴏʀ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏɴ
ᴛʜᴇ ʙᴀʟʟ. ᴡʜᴀᴛ ᴘᴏꜱꜱɪʙʟᴇ ᴠᴀʟᴜᴇꜱ ᴄᴀɴ ʙᴇ ᴀꜱꜱɪɢɴᴇᴅ ᴛᴏ ᴛʜᴇ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇ x?
ᴀ. x = {₁, ₂, ₃, ₄} ᴄ. x = {₀, ₁, ₂, ₃, ₄}
ʙ. x = {₀, ₂, ₄} ᴅ. x = {₀, ₁, ₃, ₅}

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