chemical supply company currently has in stock 100 Ib of a certain chemical, which it sells to customers in 4-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that x has the following pmf. 1 2 3 4 P(x) 0.3 0.5 0.1 0.1 Compute E(X) and V(X). E(X) = | (X) = batches batches2 Compute the expected number of pounds left after the next customer's order is shipped and the variance of the number of pounds left. [Hint: The number of pounds left is a linear function of X.]

Q: tain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: The critical points of the function f(x) = 5x² – 6x + 12 are %3D

A: A critical point of a function of a single real variable, f(x), is a value x0 in the domain of f…

Q: What are the critical points for the function f(x) = x³ + 6x² – 36x + 7 X = - 2 and x = 6 x = 2 and…

A:

Q: 1,3 2,1 3,4 f(x) 2,6 3,5 3,2

A: The given tabular data is,

Q: 1. Differentiate the following and for each state whether you have used the product rule and/or the…

A:

Q: f(x) = O (x) = x? O f(x) = 0 O f(x) = VT f(2) = 1 O f(x) = |æ| O f(x) = x

A: When F(-x) = - F(x), function is called odd function.           f(-x) = (1/(-x))=-(1/x) = -f(x) this…

Q: The critical points of the function f(x)= 2x-24x+1 are O a. -2,0 O b. 1,2 O c. 0,2 O d. -2,2

A:

Q: List the one critical number of the following function. f(x) = 4x ln(x)

A: f(x)=4xlnxd dx(lnx)=1xd dx(a.b)=adbdx+bdadxfor critical number put f'(x)=0

Q: find the critical point for the function f(x)=2 x3+3 x2 - 72x+ 14 %3D O None O 4,3 -1,2 O 3,-4

A:

Q: A red die is rolled and then a green die. Let X=2(Spots on Red) + (Spots on Green) Determine the…

A: Given that  Let X = 2(Spots on Red) + (spots on Green) First is Red dice and Second is Green dice…

Q: If f(x) = x³-3x 2+ 2e which of the following are the critical values? O (0,2) O (0,3) O (1,0) O…

A:

Q: Find any critical numbers of the function f(x) = (5x (5x - 4)e-3x Enter your answer(s) as a fraction…

A:

Q: (8) A company produces X bulbs per day. If E(X)= 1000 and var (X) = 100, then P(900 < X < 1100) is…

A: Given information: EX=1000VarX=100

Q: Q 6. If the function f(x) = 2x - 9ax + 12a*x+1 has a local maximum at x x1 and a local minimum at x=…

A:

Q: Decompose the following functions (write them as compositions): (a) If h(x) = V13² + 3, what are two…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.