Assume that the readings on scietific thermometers are normally distributed with a mean of 0 0C and a standard deviation of 1 0C . A thermometer is randomly selected and tested. Find the probability of the reading greater than -1.05 in degrees Celsius. (up to four decimal place, please)

Answer:  0.8531Step-by-step explanation:Let x be the random variable that represents the readings on scientific thermometers .Given : The readings on scientific thermometers are normally distributed,Population mean : [tex]\mu=0^{\circ}\ C[/tex]Standard deviation : [tex]\sigma=1^{\circ}\ C[/tex]Z-score : [tex]z=\dfrac{x-\mu}{\sigma}[/tex]Now, the z-value corresponding to -1.05 :  [tex]z=\dfrac{-1.05.-0}{1}=-1.05[/tex]P-value = [tex]P(x>-1.05)=P(z>-1.05)=1-P(z\leq-1.05)[/tex][tex]=1-0.1468591=0.8531409\approx0.8531\text{ (Rounded to four decimal places)}[/tex]Hence, the probability of the reading greater than -1.05 in degrees Celsius.= 0.8531