How many gallons are expected to be ordered?
How many gallons are expected to be ordered? A chemical supply company ships a certain solvent...
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 following pmf. x 1 2 3 4 p(x) 0.3 0.5 0.1 0.1 Compute E(X) and V(X). E(X) = batches V(X) = batches2 Compute the expected number of pounds left after the next customer's order is shipped and the variance of the...
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 following pmf 4 p(x)0.3 0.40.2 0.1 Compute E(X) and Vx) E(X) = batches batches Compute the expected number of pounds left after the next customer's order is shipped and the variance of the number of pounds ie expected weight left variance...
A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 6-lb batches. Let X the number of batches ordered by a randomly chosen customer P(x) 0.2 0.4 0.3 0.1 compute ElX) and vix) E(X) = batches batches Compute the expected number of pounds left after the next customer's order is shipped and the varlance of the number of pounds left. [Hint: The number of pounds left is a linear function...
the class is EGEN 350 pleas i need the answers of questions 4,5 and 6 (3pts) An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = number of months between successive payments. If the CDF is as follows, fill in the pmf in the table provided? 4. 0.30 1sx <3 0.45 4 x<6 0.60 6 Sx < 12 1x2 12 Fx)0.40 3sx <4 P(X x) (3pts) A certain type...
Example 3 A survey of cars a certain stretch of highway during morning commute hours showed that 70% had only one occupant, 15% had 2, 10% had 3, 3% had 4, and 2% had 5. Let X represent the number of occupants in a randomly chosen car. 1. Find the probability mass function of X, and graph it. 2. Find the probability that the car had at least 3 occupants. 3. Find the probability that the car had at most...
Question 4 (14 points) Particles are a major component of air pollution in many areas. It is of interest to study the sizes of contaminating particles. Let X represent the diameter, in micrometers, of a randomly chosen particle. Assume that in a certain area, the probability density function of X is inversely proportional to the volume of the particle; that is, assume that r 21 where c is a constant. a. Find the value of c so that f(x) is...
PROBLEM 1(35pts) You are charged with conducting an investigation in relation to herbicide pollution of IA lakes. Let X denote the act of measuring the level of a certain chemical in any randomly chosen lake. Assume X N(Hr,ax), and that the lakes to be chosen for testing are such that the data collection variables {X^)% can be assumed mutually independent. Let(ux x ) denote the usual estimators of (Ax O,) Data collected on n-50 lakes resulted in (Ax-323. แป,-69) (a)(12pts)...
Let X be normally distributed with mean 100 cm and standard deviation 5 cm. (a) On the diagram below, shade the region representing P(X > 105). (2) (b) Given that P(X < d) = P(X > 105), find the value of d. (2) (c) Given that P(X > 105) = 0.16 (correct to two significant figures), find P(d < X < 105). (2) (Total 6 marks) 2. A test has five questions. To pass the test, at least three of...