Statistics

1) Let z be a normal random variable with mean 0 and standard deviation 1. The 4th decile of z is ___.
a) 0.67 b) –1.25 c) -0.25 d) 1.28 e) 0.50

2) According to the central limit theorem, if a sample of size 50 is drawn from a population with a standard deviation of 10, the standard deviation of the distribution of the sample means would equal ___.

  1. 👍
  2. 👎
  3. 👁
  1. It would have to be negative and close to the mean.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. STATISTICS

    Consider a binomial random variable where the number of trials is 12 and the probability of success on each trial is 0.25. Find the mean and standard deviation of this random variable. I have a mean of 4 and a standard deviation

  2. statistics

    In the game of​ roulette, a wheel consists of 38 slots numbered​ 0, 00,​ 1, 2,..., 36. To play the​ game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the

  3. statistic

    The random variable x represents the number of boys in a family with three children. Assuming that births of boys and girls are equally likely, find the mean and standard deviation for the random variable x.

  4. MATH

    Which of the following normal distributions has the smallest spread? A. A normal distribution with mean 1 and standard deviation 3 B. A normal distribution with mean 0 and standard deviation 2 C. A normal distribution with mean 3

  1. statistics

    Let x be a random variable that represents the length of time it takes a student to complete a take-home exam in Dr. Larson’s psychology class. After interviewing many students, it was found that x has an approximately normal

  2. Statistics

    Let z be a normal random variable with mean 0 and standard deviation 1. The 4th decile of z is ___. a) 0.67 b) –1.25 c) -0.25 d) 1.28 e) 0.50

  3. statistics

    Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals). P(z -1.0) P(z -1.0) P(z -1.5) P(z -2.5) P(-3 < z 0)

  4. Probability

    Problem 1 Suppose that X, Y, and Z are independent, with E[X]=E[Y]=E[Z]=2, and E[X2]=E[Y2]=E[Z2]=5. Find cov(XY,XZ). cov(XY,XZ)= ? Problem 2. Let X be a standard normal random variable. Another random variable is determined as

  1. Math

    Suppose a baseball player had 211 hits in a season. In the given probability distribution, the random variable X represents the number of hits the player obtained in the game. x P(x) 0 0.1879 1 0.4106 2 0.2157 3 0.1174 4 0.0624 5

  2. Maths

    The random variable X is normally distributed with mean 45 and standard deviation a.Given that P(X>51)=0.288, find the value of a.

  3. Probability & Statistics

    The random variable X has a standard normal distribution. Find the PDF of the random variable Y , where: 1. Y = 5X−7 . 2. Y = X2−2X . For y≥−1 ,

  4. statistics

    Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals). P(z -1.0) P(z -1.0) P(z -1.5) P(z -2.5) P(-3 < z 0)

You can view more similar questions or ask a new question.