If Z is a random variable from a standard normal distribution and if P(Z < a) = 0.7, then P(Z <= a) = 0.3. True False
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A:
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- If the random variable X has a normal distribution with mean = 48 and standard deviation = 18, then P(1.2 ≤ X ≤ 4.8) is...In a normal distribution for any normal random variable X, the probability that X is more than three standard deviations from the mean is approximated to be equal toAssume Z is a random variable with a standard normal distribution and c is a positive number. If P(Z>c)=0.1 then P(−c<Z<c)=0.8. True or False
- If X represents a random variable coming from a normal distribution with mean 5 and if P(X>6.1)=0.2, then P(5<X<6.1)=0.3. True FalseIf the probability that the random variable Z with a standard normal distribution is between the -k and k values is 0.90, which is ?If a continuous random variable X is normally distributed with a mean of 2, and a variance of 4, what is P(|X|>2)? Suppose you are given a CDF of the standard normal distribution. O 0.5CDF(2) 2CDF(2)-1 1.5 -CDF (6) ○ 1.5 -CDF (2) None of the above
- The average life of a certain battery is 7 years, with a standardeviation of 2 year. A random sample of size 16 of such batteries Assume that the live of the battery approximately follows a normal distribution. What is the probability that the average life will be at most 8 years?If z is a standard normal random variable and P(-zyIf XX represents a random variable coming from a normal distribution and P(X<10.2)=0.22P(X<10.2)=0.22, then P(X>10.2)=0.78P(X>10.2)=0.78. true or falseRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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