Question

A mile-runner’s times for the mile are normally distributed with a mean of 4 min. 3 sec. (This would have to be expressed in decimal minutes -- 4.05 minutes), and a standard deviation of 2 seconds (0.0333333··· minutes (the underline indicates a repeating decimal)). What does the mean have to be for a 0.20 probability of the time being 4 minutes or less?

Answer 1

ϙᴜᴇsᴛɪᴏɴ:

ᴇxᴘʟᴀɪɴ ᴍɪɴᴇʀᴀʟs ᴀɴᴅ ᴀssᴏᴄɪᴀᴛᴇᴅ ғᴜɴᴄᴛɪᴏɴs!???????

ᴀɴsᴡᴇʀ:

ᴊᴜsᴛ ʟɪᴋᴇ ᴠɪᴛᴀᴍɪɴs, ᴍɪɴᴇʀᴀʟs ʜᴇʟᴘ ʏᴏᴜʀ ʙᴏᴅʏ ɢʀᴏᴡ, ᴅᴇᴠᴇʟᴏᴘ, ᴀɴᴅ sᴛᴀʏ ʜᴇᴀʟᴛʜʏ. ᴛʜᴇ ʙᴏᴅʏ ᴜsᴇs ᴍɪɴᴇʀᴀʟs ᴛᴏ ᴘᴇʀғᴏʀᴍ ᴍᴀɴʏ ᴅɪғғᴇʀᴇɴᴛ ғᴜɴᴄᴛɪᴏɴs — ғʀᴏᴍ ʙᴜɪʟᴅɪɴɢ sᴛʀᴏɴɢ ʙᴏɴᴇs ᴛᴏ ᴛʀᴀɴsᴍɪᴛᴛɪɴɢ ɴᴇʀᴠᴇ ɪᴍᴘᴜʟsᴇs. sᴏᴍᴇ ᴍɪɴᴇʀᴀʟs ᴀʀᴇ ᴇᴠᴇɴ ᴜsᴇᴅ ᴛᴏ ᴍᴀᴋᴇ ʜᴏʀᴍᴏɴᴇs ᴏʀ ᴍᴀɪɴᴛᴀɪɴ ᴀ ɴᴏʀᴍᴀʟ ʜᴇᴀʀᴛʙᴇᴀᴛ.

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