(Solved): For Problems 1 and 2, each describes a uniform distribution where \( x=1250 \) to \( x=1500 \) with ...

For Problems 1 and 2, each describes a uniform distribution where \( x=1250 \) to \( x=1500 \) with \( \mathrm{P}(x)=0.004 \). Write final answers to three decimal places. 1.) Find the probability that \( x \) is less than 1314 . 1.) 2.) Find the probability that \( x \) is between 1351 and 1487 . 2.) For Problems 3 - 6, each describes a standard normal distribution with variable \( z \). 3.) Find the probability that \( z \) is less than \( 1.13 \). 3.) 4.) Find the probability that \( z \) lies between \( -2.25 \) and \( 0.22 \). 4.) 5.) Find the z score for the \( 18^{\text {th }} \) percentile. (score separating the bottom \( 18 \% \) from the top \( 82 \% \) ) 5.) 6.) Find the critical number \( z_{002} \). 6. Page 1 of 5