Answer: The answer is 0.1111111111111
Step-by-step explanation:
I think the answer you are looking for is 28.
7/8 multiplied by 32 gives you 28.
The difference is the result of a subtraction problem.
We are given two values that are being subtracted: 54 and a number, represented by 
So, represent this mathematically with 
.
The 68-95-99.7 rule tells us 68% of the probability is between -1 standard deviation and +1 standard deviation from the mean. So we expect 75% corresponds to slightly more than 1 standard deviation.
Usually the unit normal tables don't report the area between -σ and σ but instead a cumulative probability, the area between -∞ and σ. 75% corresponds to 37.5% in each half so a cumulative probability of 50%+37.5%=87.5%. We look that up in the normal table and get σ=1.15.
So we expect 75% of normally distributed data to fall within μ-1.15σ and μ+1.15σ
That's 288.6 - 1.15(21.2) to 288.6 + 1.15(21.2)
Answer: 264.22 to 312.98
