Let the random variable X follow a normal distribution with u = 30 and o = 49. a. Find the probability that X is greater than 40. b. Find the probability that X is greater than 10 and less than 40. c. Find the probability that X is less than 35. d. The probability is 0.2 that X is greater than what number? e. The probability is 0.05 that X is in the symmetric interval about the mean between which two numbers? %3D Click the icon to view the standard normal table of the cumulative distribution function.

MATLAB: An Introduction with Applications
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Let the random variable X follow a normal distribution with u = 30 and o = 49.
a. Find the probability that X is greater than 40.
b. Find the probability that X is greater than 10 and less than 40.
C. Find the probability that X is less than 35.
d. The probability is 0.2 that X is greater than what number?
e. The probability is 0.05 that x is in the symmetric interval about the mean between which two numbers?
E Click the icon to view the standard normal table of the cumulative distribution function.
a. The probability that X is greater than 40 is.
(Round to four decimal places as needed.)
b. The probability that X is greater than 10 and less than 40 is.
(Round to four decimal places as needed.)
c. The probability that X is less than 35 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 0.05 that X is in the symmetric interval about the mean between
(Round to one decimal place as needed. Use ascending order.)
and
Transcribed Image Text:Let the random variable X follow a normal distribution with u = 30 and o = 49. a. Find the probability that X is greater than 40. b. Find the probability that X is greater than 10 and less than 40. C. Find the probability that X is less than 35. d. The probability is 0.2 that X is greater than what number? e. The probability is 0.05 that x is in the symmetric interval about the mean between which two numbers? E Click the icon to view the standard normal table of the cumulative distribution function. a. The probability that X is greater than 40 is. (Round to four decimal places as needed.) b. The probability that X is greater than 10 and less than 40 is. (Round to four decimal places as needed.) c. The probability that X is less than 35 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 0.05 that X is in the symmetric interval about the mean between (Round to one decimal place as needed. Use ascending order.) and
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