According to the Okeechobee Economic Development Council, the average household income in Okeechobee county is $45,425, with a standard deviation of $1,900. Determine the following probabilities. Assume the distribution of all household incomes in Okeechobee county is normally distributed. Round solutions to four decimal places, if necessary.
Determine the probability that a randomly selected Okeechobee county household has an income greater than or equal to 50,552.
$P(x \geq 50,552) =$
Determine the probability that a randomly selected Okeechobee county household has an income between 45,343 and 48,386.
$P($45,343 < x < $48,386) =$