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 |
Recent research suggests that car ownership may have peaked. The following probability distribution table shows the...
Consider the joint probability distribution of car ownership (X) and number of household members (Y) as follows (suppose there are no households with more than 2 cars or more than 2 household members to simplify the calculation) f(x,y) 一0一ㄒㄧㄧㄧㄒ-2 0 0.10.05 0.02 x0. 0.35 0.05 2 0.03 0.10.2 (i) (ii) Find expected value of car ownership and household size. Comment on the correlation between X and Y.
Find the mean and standard deviation of the given probability distribution. Round your answers to 2 places after the decimal point, if necessary. x P (x) 0 0.05 3 0.27 4 0.3 6 0.2 7 0.18 Mean = Standard deviation =
The following shows a probability distribution for amounts donated in a recent fund drive by the Charleston Food Bank: Amount is $ Probability 5 .3 10 .4 15 .15 20 .13 25 .02 a.) Find the mean for this probability distribution b.) Find the standard deviation for this distribution
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 below shows the probability distribution of a discrete random variable X. Values of the random variable X (x) Probability of observing each value of X P(X = x) 6 0.20 7 0.25 8 0.25 9 0.10 10 0.12 11 0.08 Total 1.00 (a) Determine the probability that the random variable X is between 8 and 10, inclusive. (1 mark (b) Determine the probability that the random variable X is at least 9. (1 mark) c. Determine the probability...
An airline company has a policy of routinely overbooking flights. The following probability distribution table shows the random variable, x, where x is number of passengers who cannot be boarded because there are more passengers than seats: x P(x) 0 .07 1 .14 2 .27 3 .33 4 .19 (a) Determine the mean of x (Round the answer to two decimal places). (b) Determine the standard deviation of x. (Round the answer to two decimal places)
What are the expected value and standard deviation of the following probability distribution? Random Variable X Probability 1 0.05 2 0.05 3 0.10 4 0.10 5 0.15 6 0.15 7 0.25 8 0.15
A discrete random variable X has the following probability distribution: x7778798081 P(x) 0.150.150.200.400.10Compute each of the following quantities. i. P(X = 80) ii. P(x > 80) iii. P(X ≤ 80) iv. The mean, μ of x. v. The variance, σ2 of X. vi. The standard deviation, σ of X.
Discrete probability problems 0.2 pts Question 12 The table below is a discrete probability distribution in which x represents the number of tudents that a statistics tutor may see on any given day and Pix) represents the probability that the tutor sees that number of students. P(x) О.11 0.18 e.36 e.16 e.14 e.es What is the mean of this discrete probability distribution? (Round to the nearest hundredth.) Question 13 0.2 pts The table below is a discrete probability distribution in...
For the following probability distribution x fx) 0 0.01 0.02 0.10 0.35 4 0.20 0.18 0.06 0.05 0.09 0.03 0.10 Upload a file detailing all of the work needed for these questions. a. b. c. Determine E(x). (2 points) Determine the variance. (2 points) Determine the standard deviation. (1 point)