Let the random variable X follow a normal distribution with µ = 60 and ?² = 64. a. Find the probability that X is greater than 70. b. Find the probability that X is greater than 40 and less than 72. c. Find the probability that X is less than 65. d. The probability is 0.2 that X is greater than what number? e. The probability is 0.07 that X is in the symmetric interval about the mean between which two numbers? Click the icon to view the standard normal table of the cumulative distribution function. a. The probability that X is greater than 70 is (Round to four decimal places as needed.) b. The probability that X is greater than 40 and less than 72 is (Round to four decimal places as needed.) c. The probability that X is less than 65 is (Round to four decimal places as needed.) d. The probability is 0.2 that X is greater than (Round to one decimal place as needed.) e. The probability is 0.07 that X is in the symmetric interval about the mean between and
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- Mean (\(\mu\)) = 60 - Variance (\(\sigma^2\)) = 64 - Standard deviation (\(\sigma\)) = \(\sqrt{64} = 8\) Show more…
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Let the random variable X follow a normal distribution with μ = 60 and σ² = 64. a. Find the probability that X is greater than 70. b. Find the probability that X is greater than 45 and less than 72. c. Find the probability that X is less than 65. d. The probability is 0.1 that X is greater than what number? e. The probability is 0.03 that X is in the symmetric interval about the mean between which two numbers? a. The probability that X is greater than 70 is 0.1057. b. The probability that X is greater than 45 and less than 72 is 1. c. The probability that X is less than 65 is 0.7340. d. The probability is 0.1 that X is greater than 70.2. e. The probability is 0.03 that X is in the symmetric interval about the mean between 59.7 and 70.3.
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