\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A student sends party invitations to 4 friends via text message, and each friend has a 70\(\pourcent\) chance of accepting, independently of the others. The random variable \(X\) represents the number of friends who accept. Find the probability that all 4 friends accept (
! e \(\pi\) ( ) % AC sin cos tan 7 8 9 / \(\sin^{-1}\) \(\cos^{-1}\) \(\tan^{-1}\) 4 5 6 * \(x^2\) \(\sqrt{\phantom{2}}\) xy 1 2 3 - ln exp log 0 . = +
and round to three decimal places.)
\(P(\text{"only successes"}) \approx\)