The following is a known probability model for bills collected at a bank.
x | $1 | $2 | $5 | $10 | $20 | $50 | $100
P(x) | 0.35 | 0.01 | 0.25 | 0.2 | 0.1 | 0.05 | 0.04
-What is the probability that the first bill of the day that is collected is a $20 bill, the second bill collected is a $1 bill, and the third bill is a $10 bill?
-What is the probability that the first bill is not a $2 bill, the second bill is not a $2 bill and the third is not a $2 bill?
| X | P(X) |
| 1 | 0.35 |
| 2 | 0.01 |
| 5 | 0.25 |
| 10 | 0.2 |
| 20 | 0.1 |
| 50 | 0.05 |
| 100 | 0.040 |
probability that the first bill of the day that is collected is
a $20 bill, the second bill collected is a $1 bill, and the third
bill is a $10 bill = 0.1*0.35*0.2=0.007
---------------
probability that the first bill is not a $2 bill, the second
bill is not a $2 bill and the third is not a $2 bill =
0.99*0.99*0.99 = 0.970299
The following is a known probability model for bills collected at a bank. x | $1...
1. (3 points) Explain why each of the following is not a valid discrete probability distribution. P(x) 0.35 0.10 T-Mobile 0.25 MetroPCS 0.15 0.05 0.10 a. Verizon Sprint Cricket Other b.X Px 0 0.2 2 0.3 0.4 6 0.5 -2 0.1 0 0.2 2 0.2 4 0.2 8 0.3
The random variable X takes only the values 0, ±1, ±2. In addition, it is known that P(-1 <X <2) 0.2 P(X = 0) = 0.05 PCI 1) = 0.35 P(X 2) = P(X = 1 or-1) (a) Find the probability distribution of X (b) Compute E[X]
1 3. (25 P) Account balance of customers in a bank have the following probability density function: 2 3 (0.05, 0<x< 5 4 f(x) = a, 5 <x< 10 5 0, otherwise 6 7 a. Develop a random variate generator for the distribution 8 9 b. Generate 3 values of the random variate using R 1 = 0.1. R 2 = 0.2. R 3 = 0.95. 10 11 12 13 14 15 16 17 18 19 20 21 22 23
1 3. (25 P) Account balance of customers in a bank have the following probability density function: 2 3 (0.05, 0<x< 5 4 f(x) = a, 5 <x< 10 5 0, otherwise 6 7 a. Develop a random variate generator for the distribution 8 9 b. Generate 3 values of the random variate using R 1 = 0.1. R 2 = 0.2. R 3 = 0.95. 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Please answer both questions. Will Rate!!
An automobile service facility specializing the next car to be tuned engine tune-ups knows that 50 % of all tune-ups are done on four-cylinder automobiles, 35% on six-cylinder automobiles, and 15% on eight-cylinder automobiles. Let J the number of cylinders (a) What is the pmf of X7 P(x) line araph for the pmf of part (a). (b) Draw Probability Probability 0.5 0.45 0.4 035 0.3 0.5 045 0.4 О35 0.3 0.25 0.25 0.2 0.2...
2. Let X and X be two random variables with the following joint PMF Yix 2 0 2 0 0.1 0.05 0.05 0.15 0.1 0.05 0.1 0.05 0.05 0.05 4 0.05 0.05 0.02 0.1 0.03 total 0.2 0.2 0.12 0.3 0.18 total 0.45 0.3 0.25 1 1) Find E[X] and E[Y]. (10 points) 2) What is the covariance of X and Y? (20 points) 3) Are X and Y independent? Explain. (10 points)
An office manager receives reports from employees via email. The probability model describes the number of emails the manager may receive in a day. Email Received 0 1 2 3 4 5 P(X) 0.05 0.15 0.35 0.25 0.15 0.05 How many emails would you expect the manager to receive each day? (4 points) 3.9 3.65 3.25 2.9 2.45
2. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the number of times (1, 2, or 3 times) a technician is called on an emergency call. The joint probability distribution fxy(x, y) is given by 1 0.05 0.05 0 0.05 0.1 0.2 0.1 0.35 0.1 (a) Evaluate the marginal pdf and the mean of X (b) Evaluate the marginal pdf and the mean of Y....
how this mathematical model relates to the physical hypothesis
given in Eq. 2.
equation 2
Calculate the spring stiffness, k, from your fit
parameter, A.
“y = A*sqrt(x).”
Mass vs T 1.6 1.4 y = 2.2486x0.41 1.2 1 Period (s) 0.8 0.6 0.4 0.2 0 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 Mass (kg) т T= 21 k
Let X denote the number of
times (1, 2, or 3 times) a certain machine malfunctions on any
given day.
2. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the number of times (1, 2, or 3 times) a technician is called on an emergency call. The joint probability distribution fxy(x, y) is given by 1 2 y 0.05 1 0.05 0.1 2 0.05 0.1...