The probability function for a uniform discrete random variable is given below:
$P$P$($($X=x$X=x$)$) | $=$= | $k$k; $x=1,2,3,4$x=1,2,3,4 | |
$0$0, for all other values of $x$x |
Determine the value of $k$k.
Calculate $P$P$($($X<3$X<3$)$).
Calculate $P$P$($($X\ge2$X≥2 $|$| $X<4$X<4$)$).
Determine $m$m such that $P$P$($($X\ge m$X≥m$)=0.75$)=0.75.
Investigate situations that involve elements of chance: A calculating probabilities of independent, combined, and conditional events B calculating and interpreting expected values and standard deviations of discrete random variables C applying distributions such as the Poisson, binomial, and normal
Apply probability distributions in solving problems