A probability distribution has a mean of 57 and a standard deviation of 1.4. Use Chebychev’s inequality to find the value of c that guarantees the probability is at least 96% that an outcome of the experiment lies between 57 - c and

57 - c. (Round the answer to nearest whole number.)

2 answers

It would help if you proofread your questions before you posted them.

"lies between 57 - c and
57 - c" = 0

98% = mean ± Z (SD)

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability (±.48) and its Z score. Insert data into above equation and solve.
It would help if you proofread your questions before you posted them.

"lies between 57 - c and
57 - c" = 0

98% = mean ± Z (SD)

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability (±.48) and its Z score. Insert data into above equation and solve for Z(SD).