The table shows the distribution of household sizes in the United States for a recent year.
x |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
P(x) |
0.281 |
0.340 |
0.154 |
0.129 |
0.060 |
0.022 |
0.013 |
Find:
a)The mean
b)The variance
c) The Standard deviation
D) the expected value
The table shows the distribution of household sizes in the United States for a recent year....
2) For the given probability Distribution, Complete the table and finds the mean, Variance and standard Deviation of the probability Distribution: (5 Points) P(x) 0.686 1 0.195 0.077 2 0.022 4 0.013 5 0.007 Variance: Standard Deviation: Mean: henning for themselves You
Recent research suggests that car ownership may have peaked. The following probability distribution table shows the random variable, x, where x is number of cars owned by household: x p (x) 0 0.10 1 0.27 2 0.40 3 0.18 4 0.05 Determine the mean of x. (b) Determine the standard deviation of x.
In a recent year, the distribution of age for senators in the United States Senate was unimodal and roughly symmetric with mean 65 years and standard deviation 10.6 years. Consider a simulation with 200 trials in which, for each trial, a random sample of 5 senators’ ages is selected and the mean age is calculated. Which of the following best describes the distribution of the 200 sample mean ages? (A) Approximately normal with mean 65 years and standard deviation 10.6...
The U.S. Census Bureau collects demographics concerning the number of people in families per household. Assume the distribution of the number of people per household is shown in the following table: ________________ x P(x) _______________ 2 0.27 3 0.25 4 0.28 5 0.13 6 0.04 7 0.03 a) Calculate the expected number o f people in families per household in the United States. b) Compute the variance and standard deviation of the number of people in families per household.
Complete parts (a) and (b) below. The number of dogs per household in a small town x P(x) 0 0.674 1 0.199 2 0.083 3 0.025 4 0.012 5 0.007 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. Find the variance of the probability distribution. Find the standard deviation of the probability distribution. (b) Interpret the results in the context of the real-life situation. A.A household on average has...
The number of persons living per household in a city was collected and were summarized. The frequency table is given below: # people # households (millions 1 23 45 6 7 | 3.1 | 4.5 | 3.8 | 2.5 | 2.4 | 2.5 | 1.2 Define X as the number of people per household. (a) Write down the probability distribution of X. (b) Find P[X2 4] (c) Find P[2 S X< 4] (d) Find the mean, variance and standard deviation...
According to a recent Current Population Reports, the population distribution of number of years of education for self-employed individuals in the United States has a mean of 13.9 and a standard deviation of 2.3. (a) Identify the variable. -number of years of education -number of educated individuals in the United States -number of self-employed individuals in the United States -number of self-employed individuals (b) Find the mean and standard deviation of the sampling distribution of for a random sample of...
1. The following probability distribution represents the number of people living in a Household (X), and the probability of occurrence (P(X)). Compute the Expected Value (mean), the Variance and the Standard Deviation for this random variable. Show Your Calculations for the Mean. X 1 2 3 4 5 P(X) .33 .29 .27 .07 .04 2. Use the binomial formula to compute the probability of a student getting 8 correct answers on a 10...
an economics professor randomly selected 100 millionaires in the united states. the average age of these millionaires was 54.8 years with a standard deviation of 7.9 years. what is the 95% confidence interval for the mean age, of all united states millionaires. A.) A confidence interval for the mean using a table value from the standard normal distribution B.) A confidence interval for the mean using a table value from the t distribution C.) A confidence interval for a proportion...
The following table shows the approximate numbers of school goers in the United States (residents who attended some educational institution) in 1998, broken down by age group. Age 3-6.97-12.9 13-16.9 17-22.9 23-26. 927-42.9 Population (millions) 24 14 10 16 Use the rounded midpoints of the given measurement classes to compute the probability P distribution of the age X of a school goer. (Round probabilities to four decimal places.) Age 5 10 20 25 35 P(X = x) Compute the expected...