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A continuous random variable is normally distributed. The probability that a value in the distribution is less than 197 is 0.4924. Find the probability that a value in the distribution is greater than 197.

Answer :

The probability that a continuous normally distributed random variable is greater than 197 is 0.5076 when the probability of being less than 197 is 0.4924.

The probability that a continuous normally distributed random variable is greater than 197, given that the probability it is less than 197 is 0.4924, can be found using the properties of the normal distribution. Since the total probability of any continuous distribution is 1, the probability that the variable is greater than 197 is simply 1 minus the probability that it is less than 197.

Therefore, the probability that a value is greater than 197 is:

P(X > 197) = 1 - P(X < 197) = 1 - 0.4924 = 0.5076.

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