The value of k in: p( Z < k ) = 0.9875
To find the value of k in the equation p( Z < k ) = 0.9875, we need to use a standard normal distribution table or calculator.
From the standard normal distribution table, we can look up the z-score that corresponds to a cumulative probability of 0.9875. This z-score is approximately equal to 2.236.
Therefore, the value of k is 2.236.
So, p( Z < 2.236 ) = 0.9875.