The test results for a class with 24 students are normally distributed with a mean of 82 and a standard deviation of 8.9. What is the probability that a randomly chosen student earned a B or higher on the test (score of 80 or higher)?

The value is  

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  24

    The mean is    

    The standard deviation is  

Generally the  probability that a randomly chosen student earned a B or higher on the test (score of 80 or higher )  is mathematically represented as

 =>  

From the z table  the area under the normal curve to the right  corresponding to    -0.225  is  

=>  

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!