Question
If the random variable X is normally distributed with mean 80 and standard deviation
5, then find (i) P[60.5 < X < 90], and (ii) P[X _ 80 < 1].
Answer :
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Skip in 10
To solve this problem using statistical techniques, you can apply the properties of the normal distribution. For a random variable X that is normally distributed with a mean (μ) of 80 and a standard deviation (σ) of 5, we can use the standard normal distribution (z-distribution) to calculate probabilities. Here's how you can find the requested probabilities:
(i) P[60.5 < X < 90]:
First, we need to standardize the values using the
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