SOLUTION: X is a normally distributed random variable with a mean of 10.00. If the probability that X is less than 11.54 is 0.67 (as shown below), then what is the standard deviation of X?
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Question 926176: X is a normally distributed random variable with a mean of 10.00. If the probability that X is less than 11.54 is 0.67 (as shown below), then what is the standard deviation of X? Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! the z-value associated with probability 0.67 is 0.44, therefore
0.44 = (11.54 - 10.00) / standard deviation
standard deviation * 0.44 = 1.54
standard deviation = 1.54 / 0.44 = 3.5
