what is probality density function
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In probability theory, a probability density function, or density of a continuous random variable, is a function whose value at any given sample in the sample space can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.
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ɪɴ ᴘʀᴏʙᴀʙɪʟɪᴛʏ ᴛʜᴇᴏʀʏ, ᴀ ᴘʀᴏʙᴀʙɪʟɪᴛʏ ᴅᴇɴsɪᴛʏ ғᴜɴᴄᴛɪᴏɴ, ᴏʀ ᴅᴇɴsɪᴛʏ ᴏғ ᴀ ᴄᴏɴᴛɪɴᴜᴏᴜs ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇ, ɪs ᴀ ғᴜɴᴄᴛɪᴏɴ ᴡʜᴏsᴇ ᴠᴀʟᴜᴇ ᴀᴛ ᴀɴʏ ɢɪᴠᴇɴ sᴀᴍᴘʟᴇ ɪɴ ᴛʜᴇ sᴀᴍᴘʟᴇ sᴘᴀᴄᴇ ᴄᴀɴ ʙᴇ ɪɴᴛᴇʀᴘʀᴇᴛᴇᴅ ᴀs ᴘʀᴏᴠɪᴅɪɴɢ ᴀ ʀᴇʟᴀᴛɪᴠᴇ ʟɪᴋᴇʟɪʜᴏᴏᴅ ᴛʜᴀᴛ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ᴛʜᴇ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇ ᴡᴏᴜʟᴅ ᴇϙᴜᴀʟ ᴛʜᴀᴛ sᴀᴍᴘʟᴇ.
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