|
x |
P(x) |
xP(x) |
x2P(x) |
|
0 |
0.48 |
0 |
0 |
|
1 |
0.39 |
0.39 |
0.39 |
|
2 |
0.10 |
0.20 |
0.40 |
|
3 |
0.02 |
0.06 |
0.18 |
|
4 |
0.01 |
0.04 |
0.64 |
|
Total |
1 |
∑[xP(x)] = 0.69 |
∑[x2P(x)]= 1.61 |
P(x = 3) =
P(x > 2) = ________
P(x ≤ 3) = ________
Let the random variable x denote the number of burglaries reported to a police department in...
A police department reports that the probabilities that a X burglaries will be reported in a given day are given below. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth A) B) 1.3 ơ 0.67 C) D) None of These P(X) 0 | 9.805e -6 1 0.0004430 20.008011 0.07239 40.3271 5| 0.5918 What is the standard deviation for this probability distribution?
1. find the probability
2. what is the mean of robberies occur on a given day,
u.
3. what is the standard deviation you found in the last
problem?
A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.48, 0.35,0.13, and 0.04, respectively. ܢܙ x|P(X = x) 0 .48 .35 2 .13 3 .04
The random variable x represents the number of tickets a police officer writes out each shift. 4. Answer by YES or NQ if the following distributions are a probability distribution. a) P(x 0.09 0.23 0.29 0,16 0.21 0.02 Probability Distribution? a) Yes b) No The random variable x represents the number of tickets a police officer writes out each shift. b) 3 4 5 6 78 X|1 | P) 1/80 2/75 1/10 12/25 27/20 1/5 2/25 1/120 Probability Distribution? a)...
2. (25 P) A random number generator was used to generate a 100 numbers listed below. Perform x2 goodness of fit test to check whether the data distributed uniformly in the interval [0, 1] (a= 0.05, state the hypothesis first). 0.01 0.01 0.02 0.03 0.03 0.05 0.05 0.06 0.06 0.06 0.07 0.08 0.08 0.09 0.12 0.13 0.15 0.16 0.18 0.19 0.21 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.3 0.31 0.32 0.32 0.33 0.33...
Question 4: Let X and Y be two discrete random variables with the following joint probability distribution (mass) function Pxy(x, y): a) Complete the following probability table: Y 2 f(x)=P(X=x) 1 3 4 0 0 0.08 0.06 0.05 0.02 0.07 0.08 0.06 0.12 0.05 0.03 0.06 0.05 0.04 0.03 0.01 0.02 0.03 0.04 2 3 foy)=P(Y=y) 0.03 b) What is P(X s 2 and YS 3)? c) Find the marginal probability distribution (mass) function of X; [f(x)]. d) Find the...
A certain market has both an express checkout line and a superexpress checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day, and let X2 denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table. x2 0 1 2 3 x1 0 0.09 0.07 0.04 0.00 1 0.05 0.15 ...
3. A certain market has both an express checkout line and a superexpress checkout line. Let X, denote the number of customers in line at the express checkout at a particular time of day, and let X, denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X and X, is as given in the accompanying table. 0 0.08 0.06 0.05 0 0 1 0.07 0.15 0.04 0.03 0.01 2...
A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the following table. x 0 1 2 3 4 5 6 p(x) 0.10 0.15 0.20 0.25 0.20 0.06 0.04 (a) (4 points) Calculate P(2 < x ≤ 5). (b) (4 points) Write down the cdf of X.
8. Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.35 The table on the right describes the probability of having x number of girls. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? x P(x) 0 0.275 1 0.444 2 ...
A mail-order company business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table. x 0 1 2 3 4 5 6 p(x) 0.12 0.15 0.20 0.25 0.18 0.07 0.03 Calculate the probability of each of the following events. (a) {at most three lines are in use} (b) {fewer than three lines are in use} (c) {at least three lines are...