The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $20. Below what value are approximately 97.5% of the students?a. $215b. $195c. $255d. $275e. $295

Answer:Option D) $275Step-by-step explanation:We are given the following information in the question:Mean, μ = $235Standard Deviation, σ = $20We are given that the distribution of amount of money spent by students is a bell shaped distribution that is a normal distribution.Formula:[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]We have to find the value of x such that the probability is 0.975[tex]P( X < x) = P( z < \displaystyle\frac{x - 235}{20})=0.975[/tex]  Calculation the value from standard normal z table, we have,  [tex]P( z < 1.960) = 0.975[/tex][tex]\displaystyle\frac{x - 235}{20} = 1.960\\x =274.2 \approx 275[/tex] Approximately 97.5% of the students spent below $275 on textbook.