IGNOU MCS 66 2026 2027 - The lifetime (in hours) of a sensor follows a normal distribution with

Question

The lifetime (in hours) of a sensor follows a normal distribution with a mean of 800 hours and a standard
deviation of 60 hours. Compute the following for this sensor:

03 Aug 2026

Answer :

Word Count : 475

The lifetime of a sensor is represented by a normal distribution with a mean lifetime of 800 hours and a standard deviation of 60 hours. Let the lifetime of the sensor be represented by the random variable X. Therefore, X ~ N(800, 60²) where the mean (μ) is 800 hours and the standard deviation (σ) is 60 hours. A normal distribution is a continuous probability distribution that is symmetric around its mean value. To calculate probabilities related to the lifetime of the sensor, the given value of X is converted into a standard normal variable using the formula: Z = (X - μ) / σ Here, Z represents the standard normal variable, which has a mean of 0 and a standard deviation of 1. The required probability values can then be obtained using the standard normal distribution table.

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