There are two states of the world and two random variables, x and y$.$ In the first state of the world, x takes value $0\mathrm{.}272991071$ and y $0\mathrm{.}878001886.$ In the second state of the world, x takes value $0\mathrm{.}54913476$ and y $0\mathrm{.}247154875.$ The probability of the first state occurring is p$,$ which is positive and less than $1.$

Then the correlation between x and y is

$($enter a decimal format number, keep two decimal places$)$