Normal Distribution finding probabilities

The random variable

 $X\sim N\left(30,\ 2^2\right)$  
Find  $P\left(X<33\right)$  
Give your answer correct to 4 decimal places

The random variable

 $X\sim N\left(30,\ 2^2\right)$  
Find  $P\left(X>26\right)$  
Give your answer correct to 4 decimal places

The random variable

 $X\sim N\left(30,\ 2^2\right)$  
Find  $P\left(X>31.6\right)$  
Give your answer correct to 4 decimal places

The random variable

 $X\sim N\left(40,\ 9\right)$  
Find  $P\left(X>45\right)$  
Give your answer correct to 4 decimal places

The random variable

 $X\sim N\left(40,\ 9\right)$  
Find  $P\left(X\le38\right)$  
Give your answer correct to 4 decimal places

The random variable

 $X\sim N\left(40,\ 9\right)$  
Find  $P\left(41\le X\le44\right)$  
Give your answer correct to 4 decimal places

The random variable

 $X\sim N\left(25,\ 25\right)$  
Find  $P\left(X<20\right)$  
Give your answer correct to 4 decimal places

The random variable

 $X\sim N\left(25,\ 25\right)$  
Find  $P\left(18<X<26\right)$  
Give your answer correct to 4 decimal places

The random variable

 $X\sim N\left(25,\ 25\right)$  
Find  $P\left(X>23.8\right)$  
Give your answer correct to 4 decimal places

The random variable

 $X\sim N\left(18,\ 10\right)$  
Find  $P\left(X\ge20\right)$  
Give your answer correct to 4 decimal places