SOLUTION: A chemical supply company ships a certain solvent in 10-gallon drums. Let X represent the number of drums ordered by a randomly chosen customer. Assume X has the following probabil

Question 1114336: A chemical supply company ships a certain solvent in 10-gallon drums. Let X represent the number of drums ordered by a randomly chosen customer. Assume X has the following probability mass function:
x 1 2 3 4 5
p(x) 0.33 0.2 0.2 0.17 0.1
Find the standard deviation of the number of drums ordered.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The mean is x*p(x)=
0.33+0.4+0.6+0.68+0.5=2.51
The variance is sum (x-expected value or mean^2)*p(x)
(-1.51)^2*0.33+(2-2.51)^2*0.2+(3-2.51)^2*0.2+(4-2.51)^2*0.17+(5-2.51)^2*0.1=
0.752+0.052+0.048+0.377+0.620=1.849
sd is sqrt(1.849)=1.36 ANSWER

RELATED QUESTIONS
A chemical supply company ships a certain solvent in 10−gallon drums. Let X... (answered by robertb)

A chemical supply company ships a certain solvent in 10-gallon drums. Let X represent the (answered by Fombitz)

in a small workshop, eight 5 gallon drums of oil are on hand. If 2 gallons are used each... (answered by ewatrrr)

5. A Petroleum Company fills steel drums with a lubricating oil. The mechanism that... (answered by stanbon)

If seven drums can empyt a tank in 28minutes,how many minutes will it takes 8 drums to... (answered by josgarithmetic)

Suppose a pipe can fill 4 drums in 2 hours. How many drums can it fill in 5... (answered by JulietG)

Micah paid $1,080 for a new set of drums that were marked 20% off. What was the original (answered by mananth)

An auto service center has ten fifty-five gallon drums of 90% ethylene glycol, a common... (answered by stanbon)

The volume of a 6 x 12-ft tank is 339.3 cu ft. It contains air at 200 psig and 85°F. How (answered by CPhill)