Asurvey conducted by a song rating service finds that the percentages of listeners familiar with poker face by lady gaga who would give the song ratings of 5, 4, 3, 2, and 1 are, respectively, 48 percent, 17 percent, 16 percent, 11 percent, and 8 percent. assign the numerical values 1, 2, 3, 4, and 5 to the (qualitative) ratings 1, 2, 3, 4, and 5 and find an estimate of the probability distribution of x = this song’s rating by a randomly selected listener who is familiar with the song. find the expected value of the estimated probability distribution. (round your answer to 2 decimal places.)

Castor et pollux, fratres, in multis bellis magna virtute pugnabant et multos hostes superaverunt. olim magna tempestas (storm) ad navem appropinquabat (came near), sed auxilio deorum discessit. tum nautae in capitibus castoris et pollucis duas stellas viderunt. "dei ipsi in capitibus fratrum has stellas posuerunt," omnes clamaverunt. "fratres boni sunt causae salutis nostrae! " postea acer hostis castorem interfecit et hic ad inferos (underworld) properavit (hastened). maximus dolor pollucem occupavit, sed is erat immortalis (immortal) quod filius dei erat. sine fratre suo pollux erat miserrimus et tristis. pollux ex patre deorum ipso oravit, "ego laetissime vitam meam," dicit, "pro fratre meo donabo." iuppiter autem dixit se castori unum diem vitae, polluci unum diem mortis donaturum esse. itaque locum fratrum cotidie (daily) mutavit. iuppiter duas stellas in caelo locavit. homines fratres geminos (twins) appellabant. do not use google i will not give you and i will report your question if you do use google translate. seventy points!