For a normal distribution with mean 0, what is F(0)?
here as mean is at 0 and normal distribution is symmetric therefore probability of an event below 0 =probability of event above 0
hence F(0)=0.5
3.13 Show that if F, is the normal distribution with mean ξη and variance σ , then Hn tends to the normal distribution H with mean ξ and variance σ2 > 0 if and only if Ta
Given a standardized normal distribution with mean - 0 and standard deviation 1: d. What is the Z value that corresponds to a cumulative probability (from -oo to Z) of 0.3368? e. What is the Z value that corresponds to a cumulative probability (from -oo to Z) of 0.5832? f. What is the Z value that corresponds to a cumulative probability (from -oo to Z) of 0.7500? g. What is the Z value that corresponds to a cumulative probability (from...
(5) If F(x) is the CDF of a Normal distribution with mean 50 and variance 16, and G(x) is the CDF of a Normal distribution with mean 25 and variance 9, is the function H(x) = (1- c)F(x) + cG(x) also a legitimate CDF (for any positive fraction c)? What’s the pdf for H(x)? Can you find the mean and the variance for H(x) in terms of those parameters for F(x) and G(x)?
for the standard normal distribution, which of the following is not correct? a. mean is 0 and variance is 1 b. it is a discrete distribution c. it has bell shape
Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1, as in Table E.2), what is the value of A that would satisfy, P(Z < A) = 0.102
Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1) complete parts (a) through (d) below. Click here to view page 1 of the cumulative standardized normal distribution table, Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is between 1.57 and 1.83? - The probability that Z is between 1.57 and 1.83 is (Round to four decimal places as needed.) particular train...
0.In a normal distribution, plus and minus 2 standard deviations from the mean will include about what percent of the observations? A) 50% B) 99.7% C) 95% D)68% 21. What is the area under the normal curve between z -0.0 and z-2.0 A) 1.0000 B) 0.7408 C) 0.1359 D) 0.4770 22. Which of the following is NOT a characteristic of the normal probability distribution? A) Positively-skewed B) Bell-shaped C) Symmetrical D) Mean Mode and median are all equal 23. A...
A normal distribution has a mean equal to 46. What is the standard deviation of this normal distribution if 2.5% of the proportion under the curve lies to the right of x = 51.88? (Round your answer to two decimal places.)
0 1 pts Question 9 The distribution is normal, the mean is 60 and the standard deviation is 5. What percent of scores lie above 55? -0.8413 0.1587 15.87 84.13
Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d). a. What is the probability that Z is less than 1.03? b. What is the probability that Z is greater than −0.26? c. What is the probability that Z is less than −0.26 or greater than the mean? d. What is the probability that Z is less than −0.26 or greater than 1.03?