SOLUTION: A switch fails 5% of the time. A random sample of 15 switches has been pulled. What is the probability that:
a. Exactly 4 switches will fail?
b. Less than 3 switches will fail?
Algebra.Com
Question 822243: A switch fails 5% of the time. A random sample of 15 switches has been pulled. What is the probability that:
a. Exactly 4 switches will fail?
b. Less than 3 switches will fail?
c. At least 4 switches will fail?
d. More than 2 switches will fail?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A switch fails 5% of the time. A random sample of 15 switches has been pulled. What is the probability that:
a. Exactly 4 switches will fail?
Ans: P(x = 4) = binompdf(15,0.05,4) = 0.0049
------------------------------------
b. Less than 3 switches will fail?
Ans: P(0<= x <=2) = binomcdf(15,0.05,2) = 0.9638
------------------------------------
c. At least 4 switches will fail?
P(4<= x <=15) = 1 - P(0<= x <=3) = 1 - binomcdf(15,0.05,3) = 0.0055
--------------------------
d. More than 2 switches will fail?
P(3 <= x <= 15) = 1 - P(15,0.05,2) = 1-binomcdf(15,0.05,2) = 0.0362
==============
Cheers,
Stan H.
==============
RELATED QUESTIONS
Suppose you know 2% of all switches are defective. If two switches are used in a device:
(answered by Fombitz)
Each switch in a system of six switches can be either on or off. A power surge randomly... (answered by Theo)
When a switch is closed current flows in a circuit (through the switch); when a switch is (answered by Solver92311)
At a manufacturing plant where switches are made, it is a known fact that 2% of all... (answered by ewatrrr)
In the regional power station there are a thousand switches on the main console and these (answered by Edwin McCravy)
In the regional power station there are a thousand switches on the main console and these (answered by rajagopalan)
Here is a question about probability i have had been having a hard time with
In a... (answered by edjones)
Some people who have speech disorders communicate with the help of new electronic... (answered by addingup)
if a new drug has been found to be effective 40% of the time, then what is the... (answered by Theo)