A standard normal distribution is a normal distnbubon with:a a mean of zero and

Question

A standard normal distribution is a normal distnbubon with:a a mean of zero and a standard deviation of one b a mean of one and a standard deviation of zero e. a mean zero and a standard deviation of zero d. a mean of one and a Mandard deviation of one e. noneof these If Z is a standard normal random variable, then P(-l.25 lessthanorequalto Z lessthanorequalto -0 75)is a 0.6678 b 01056 c. 0 2266 d 0.1210 c. 0 3482 19 Which of the following statements about continuous random variables is correct? a They can assume values at all potnu oa an interval with no breaks between possible values. b We can gauge the likely occurrence of specific values of soch variables with the help of are or another of certain probability distributions, including the binomial. Poissoe. or hypergeometne distributions c. They are defined at specific values, d All of these e None of these

Explanation / Answer

16. z = 1.96   we can find from z table ; even for 95% CI z value is 1.96 option : a is right

17. a standard normal distribution is a normal distribution of mean zero and standard deviation 1. option : a is right

18.p( -1.25< Z < -0.75 ) = 0.2266 - 0.0401 = 0.1865.

19 all of these

20.6

we know Z = x - mean / s.d ;

mean = x - Z x sd = 2- (-2)2 = 2+4 =6

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