statistics math

posted by .

The unemployment rate is 5.8% (Bureau of Labor Statistics, April 3, 2003). Suppose that 100 employable people are selected randomly.

1)What is the probability that exactly six people are unemployed (to 4 decimals)?

2)What is the probability that exactly six people are unemployed (to 4 decimals)?

3)What is the probability that at least four people are unemployed (to 4 decimals)?

  • statistics math -

    An excel spreadsheet is very helpful
    for these kinds of calculations.

    You could calculate these pobabilities directly. Or, you could use a poisson distribution. I'll use a Poisson here.

    the formula for the poisson is
    P(k;l) = (l^k)*e^(-l) / k!
    where l is the expected number = 5.8
    and k is the observed number.

    so for 1 (and 2, they are identical)
    P(k;l) = 5.8^6 *e^(-5.8) / (1*2*3*4*5*6)
    = .16

    take it from here.

  • statistics math -


Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. macroeconomics

    (1) Population: 250,000 Unemployed: 20,000 Labor Force Participation Rate: 80% (a) How many people are in the labor force?
  2. Macroeconomics* Please check my answers*

    If real GDP per capita grows at a rate of 5% per year consistently over time, how many years would it take for it to double in size?
  3. admas

    the true unemployment rate is 7% assume that 100 employable people are selected randomly
  4. Statistics

    The U.S. Department of Labor and Statistics released the current unemployment rate of 5.3% for the month in the U.S. and claims the unemployment has not changed in the last two months. However, the states statistics reveal that there …
  5. Statistics

    Of 500 randomly selected people in new york city, 210 people had O+ blood. "58 percent of the people in NYC do not have type O+ blood" Is the statement descriptive statistics or inferential statistics?
  6. statistics

    Find the probability that among six randomly selected people, exactly four of them have brown eyes. Assume that 40% of the population has brown eyes
  7. statistics

    Suppose that in a large population the proportion of people that have a certain disease is 0.01. Use the Poisson approximation to find the probability that at least four people will have the disease in a group of 400 randomly selected …
  8. Statistics

    90% of population is unemployed. Assume 10 employable people are to be selected randomly. what is the expected number of those unemployed.
  9. Statistics

    The probability that a randomly chosen person in Botswana is 65 or older is approximately 0.2. a) What is the probability that, in a randomly selected sample of 6 people, exactly 4 of them are 65 or older. If X IS THE NUMBER of people …
  10. statistics

    The U.S. Department of Labor collects data on unemployment insurance payments. Suppose that during 2009 a random sample of 80 unemployed people in Alabama received an average weekly benefit of $201.85, whereas a random sample of 65 …

More Similar Questions