Let the random variable X follow a normal distribution with µ = 80 and σ^2 = 100. a. Find the probability that X is greater than 60. b. Find the probability that X is greater than 72 and less than 82. c. Find the probability that X is less than 55. d. The probability is 0.1 that X is greater than what number? e. The probability is 0.6826 that X is in the symmetric interval about the mean between which two numbers?
Added by Alexander S.
Step 1
Using a standard normal table or calculator, we can find that the z-score corresponding to 60 is: z = (60 - 80) / √100 = -2 The area to the right of z = -2 is approximately 0.9772. Show more…
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