SOLUTION: In a manufacturing process it is estimated that 4.8% of a particular item are defective. If a client orders 50 of the items, what is the probability that at least one will be de

Algebra ->  Probability-and-statistics -> SOLUTION: In a manufacturing process it is estimated that 4.8% of a particular item are defective. If a client orders 50 of the items, what is the probability that at least one will be de      Log On


   



Question 1080538: In a manufacturing process it is estimated that 4.8% of a particular item are defective.
If a client orders 50 of the items, what is the probability that at least one will be defective?
What is the expected value of defective items in a box of 100?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28X%29=C%2850%2CX%29%2A%280.048%29%5EX%2A%281-0.048%29%5E%2850-X%29
.
.
.
.
.
At least one,
P=1-P%280%29
P=1-0.085
P=0.915
.
.
.
To get expected value,
E%5B50%5D=sum%28X%2AP%28X%29%2CX=0%2CX=50%29=2.4
Round down to 2.
.
.
.
In a box of 100,
E%5B100%5D=2%2A2.4=4.8
Round up to 5.