. ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴀʀᴇ ᴅɪꜱᴄʀᴇᴛᴇ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇꜱ ᴇxᴄᴇᴘᴛ: ᴀ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ɢɪʀʟꜱ ɪɴ ᴀ ᴛʜʀᴇᴇ-ᴄʜɪʟᴅ ꜰᴀᴍɪʟʏ. ʙ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴄᴀʟʟꜱ ʀᴇᴄᴇɪᴠᴇᴅ ɪɴ ᴀ ᴅᴀʏ ʙʏ ᴀ ᴄᴏᴍᴘᴀɴʏ. ᴄ. ᴛʜᴇ ᴀᴍᴏᴜɴᴛ ᴏꜰ ᴛɪᴍᴇ ᴀ ᴄᴜꜱᴛᴏᴍᴇʀ ꜱᴘᴇɴᴅꜱ ᴡᴀɪᴛɪɴɢ ᴛᴏ ꜱᴇʀᴠᴇ. ᴅ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴅᴇꜰᴇᴄᴛɪᴠᴇ ɪᴛᴇᴍꜱ ɪɴ ᴀ ꜱᴀᴍᴘʟᴇ ᴏꜰ ₁₀ ʙᴏxᴇꜱ.
. ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴀʀᴇ ᴅɪꜱᴄʀᴇᴛᴇ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇꜱ ᴇxᴄᴇᴘᴛ: ᴀ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ɢɪʀʟꜱ ɪɴ ᴀ ᴛʜʀᴇᴇ-ᴄʜɪʟᴅ ꜰᴀᴍɪʟʏ. ʙ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴄᴀʟʟꜱ ʀᴇᴄᴇɪᴠᴇᴅ ɪɴ ᴀ ᴅᴀʏ ʙʏ ᴀ ᴄᴏᴍᴘᴀɴʏ. ᴄ. ᴛʜᴇ ᴀᴍᴏᴜɴᴛ ᴏꜰ ᴛɪᴍᴇ ᴀ ᴄᴜꜱᴛᴏᴍᴇʀ ꜱᴘᴇɴᴅꜱ ᴡᴀɪᴛɪɴɢ ᴛᴏ ꜱᴇʀᴠᴇ. ᴅ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴅᴇꜰᴇᴄᴛɪᴠᴇ ɪᴛᴇᴍꜱ ɪɴ ᴀ ꜱᴀᴍᴘʟᴇ ᴏꜰ ₁₀ ʙᴏxᴇꜱ.
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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₇. ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴀʀᴇ ᴅɪꜱᴄʀᴇᴛᴇ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇꜱ ᴇxᴄᴇᴘᴛ:
ᴀ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ɢɪʀʟꜱ ɪɴ ᴀ ᴛʜʀᴇᴇ-ᴄʜɪʟᴅ ꜰᴀᴍɪʟʏ.
ʙ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴄᴀʟʟꜱ ʀᴇᴄᴇɪᴠᴇᴅ ɪɴ ᴀ ᴅᴀʏ ʙʏ ᴀ ᴄᴏᴍᴘᴀɴʏ.
ᴄ. ᴛʜᴇ ᴀᴍᴏᴜɴᴛ ᴏꜰ ᴛɪᴍᴇ ᴀ ᴄᴜꜱᴛᴏᴍᴇʀ ꜱᴘᴇɴᴅꜱ ᴡᴀɪᴛɪɴɢ ᴛᴏ ꜱᴇʀᴠᴇ.
ᴅ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴅᴇꜰᴇᴄᴛɪᴠᴇ ɪᴛᴇᴍꜱ ɪɴ ᴀ ꜱᴀᴍᴘʟᴇ ᴏꜰ ₁₀ ʙᴏxᴇꜱ.
₉. ᴀ ʙᴏx ᴄᴏɴᴛᴀɪɴꜱ ₄ ᴄᴏʟᴏʀᴇᴅ ʙᴀʟʟꜱ. ᴇᴀᴄʜ ʙᴀʟʟ ɪꜱ ʟᴀʙᴇʟᴇᴅ ᴡɪᴛʜ ɴᴜᴍʙᴇʀꜱ ₁, ₂, ₃, ₄. ᴀ
ᴘᴇʀꜱᴏɴ ʀᴀɴᴅᴏᴍʟʏ ᴅʀᴀᴡꜱ ᴏɴᴇ ʙᴀʟʟ. ʟᴇᴛ x ʙᴇ ᴛʜᴇ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇ ꜰᴏʀ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏɴ
ᴛʜᴇ ʙᴀʟʟ. ᴡʜᴀᴛ ᴀʀᴇ ᴛʜᴇ ᴘᴏꜱꜱɪʙʟᴇ ᴠᴀʟᴜᴇꜱ ꜰᴏʀ ᴛʜᴇ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇ x?
ᴇ. x = {₁, ₂, ₃, ₄} ᴄ. x = {₀, ₁, ₂, ₃, ₄}
ᴄ. x = {₀, ₂, ₄} ᴅ. x = {₀, ₁, ₃, ₅}
₁₀. ɪɴ ᴛᴏꜱꜱɪɴɢ ᴛʜʀᴇᴇ ᴄᴏɪɴꜱ, ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ᴘʀᴏʙᴀʙɪʟɪᴛʏ ᴏꜰ ɢᴇᴛᴛɪɴɢ ɴᴏ ʜᴇᴀᴅꜱ?
ᴀ. ₁/₄ ʙ. ₁/₈ ᴄ. ₁/₂ ᴅ. ₃/₄
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