statistics

posted by .

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.50, 0.41, 0.05, and 0.04, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.

  • statistics -

    Your data:

    X P(X)

    0 0.50
    1 0.41
    2 0.05
    3 0.04

    Here's a formula for the mean:
    SUM[X * P(X)]
    (Take each X times its respective P(X), then sum for a total. This will be your mean.)

    Here's a formula for the standard deviation:
    SQRT of {SUM[X^2 * P(X)] - mean^2}
    (Square each X. Take each X^2 times its respective P(X), then sum for a total. Subtract mean^2 from this value. Then take the square root of that result. This will be your standard deviation.)

    I hope this will help get you started.

  • statistics -

    0.57

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. statistics

    A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.50, 0.41, 0.05, and 0.04, respectively. Find the standard deviation for the probability distribution. Round answer …
  2. math

    A police department reports that the probabilities that 0,1,2, and 3 burglaries will be reported in a given day are .51, .44, .04, and .01, respectively. Find the expected number of burglaries reported in a given day. How do I figure …
  3. statistics

    Consider a normal distribution with mean 30 and standard deviation 6. What is the probability a value selected at random from this distribution is greater than 30?
  4. statistics

    Let x be a continuous random variable that is normally distributed with a mean of 24 and a standard deviation of 7. Find the probability that x assumes a value between 27.5 and 59.0. Use Table IV in Appendix C to compute the probabilities. …
  5. statistics

    0.57 of all college students like the idea of a new curriculum. If we select 88 students (ASSUME INDEPENDENCE), what is the Standard Deviation of (the Probability Distribution that would list the number of students (from 0 to 88) and …
  6. statistics help

    The number of ships to arrive at a harbor on any given day is a random variable represented by x. The probability distribution of x is as follows. (Give your answers correct to two decimal places.) x 10 11 12 13 14 P(x) 0.38 0.1 0.07 …
  7. statistics

    Assume a binomial probability distribution has p = .60 and n = 200. a)What are the mean and standard deviation (to 2 decimals)?
  8. Statistics

    Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $120,000. This distribution follows the normal distribution with a standard deviation of $38,000. …
  9. Statistics

    Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches and standard deviation 4 inches. (a) What is the probability that an 18-year-old man selected at random is between 65 and 67 inches …
  10. Math Probability Distribution

    A probability distribution has a mean of 57 and a standard deviation of 1.4. Use Chebychev’s inequality to find the value of c that guarantees the probability is at least 96% that an outcome of the experiment lies between 57 - c …

More Similar Questions