![babyskitt](/avatars/18345.jpg)
babyskitt
02.07.2020 •
Mathematics
A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X 5 the number of batches ordered by a randomly chosen customer, and suppose that X has pmf. Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.
Solved
Show answers
More tips
- H Health and Medicine What You Need to Know About Nasal Congestion in Infants: Causes, Symptoms, and Treatment...
- A Auto and Moto Mastering One-Movement Parking: All You Need to Know...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
- S Science and Technology How to choose a home theater system?...
- A Auto and Moto How to Choose a Car Wash? Tips and Recommendations...
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- C Construction and repair How to Choose the Best Underfloor Heating?...
- S Sport When is the Champions League final?...
Answers on questions: Mathematics
- M Mathematics Sally s teacher created a math problem but she colored the marbles with invisible ink please help by determining how many marbles in the bag were blue if the outcome of the probability...
- M Mathematics Choose all the conversion factors that relate cups to fluid ounces. 8fl oz1c 8 fl oz 1 c 8c1fl oz 8 c 1 fl oz 1fl oz8c 1 fl oz 8 c 1c8fl oz 1 c 8 fl oz 4fl oz2c...
- M Mathematics This is a geometry question that i don’t quite get can someone help me out please ....
- M Mathematics 54.46 round to the nearest degree...
- M Mathematics Find the value of x....
- M Mathematics Solve for x. 7x/−10=−42/5...
- M Mathematics Please please please help all mark brainlest please...
- M Mathematics Whats the solution for 9^x – 8 = 34^x – 12...
- M Mathematics Compare the quantity in column A with the quantity in column B. Choose the best answer. 73,56,88,94,100,87,92,100,78...
- M Mathematics 7. A rectangular prism has dimensions 4 by 3 by 2. A cube with side length I is cut out of one corner of the prism creating a new solid....
Ответ:
Complete Question:
A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the pmf shown in the table below. Compute E(X) and V(X).
Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.
NOTE: The pmf is shown in the file attached
Expected number of batches, E(X) = 2.0 batches
Variance of batches, V(X) = 0.8 batches²
Expected number of pounds left, E(Y) = 90 lb
Variance of pounds left, V(Y) = 20 lb²
Step-by-step explanation:
The company has 100 batches and it sells to customers in 5 lb batches. The number of pounds left after each customer is filled will be modeled by the mathematical formula: Y = 100 - 5X
The expected value of X, E(X) can be calculated using the formula:
E(X) = (1*0.3) + (2*0.5) + (3*0.1) + (4*0.1)
E(X) = 0.3 + 1 + 0.3 + 0.4
E(X) = 2.0
Expected number of batches, E(X) = 2.0 batches
The variance of X, V(X) can be calculated using the formula:
Variance of batches, V(X) = 0.8 batches²
Y = 100 - 5X
E(Y) = E(100 - 5X)
E(Y) = 100 - 5E(X)
E(Y) = 100 - 5(2)
E(Y) = 90 lb
Expected number of pounds left, E(Y) = 90 lb
Variance of the number of pounds left:
V(Y) = V(100 - 5X)
V(Y) = V(100) + V(-5X)
V(100) = 0
V(Y) = (-5)² V(X)
V(Y) = 25 * 0.8
V(Y) = 20
Variance of pounds left, V(Y) = 20 lb²
Ответ:
40 units2 or c
Step-by-step explanation: