for jimena to be accepted into her favorite college, she will have to earn an entrance exam score at least 2 standard deviations above the mean. assume entrance exam scores are normally distributed, with a mean of 790 and a standard deviation of 50. what exam score does jimena need to be accepted at her favorite college?

a. 690
b. 890
c. 740
d. 840

B. 890

Step-by-step explanation:

Given: Standard deviation= 50

           Mean= 790

As per question, Jimena will have to earn atleast 2 standard deviation above mean in the entrance exam score.

We know, one standard deviation is equal to 50, which mean 2 standard deviation=

∴ Two standard deviation= 100

Now, forming an equation for Jimena´s exam score.

Putting up the value in the equation

⇒

⇒

∴

Hence, Jimena have to earn at least 890 in the entrance exam to be accpeted at her favorite college.