Answer:
The expected number of defective lava lamps in a week is 3.72.
Step-by-step explanation:
To find the expected number of defective, we multiply each outcome by its probabilities.
The probability of each outcome is:
P(X = 0) = 0.01
P(X = 1) = 0.05
P(X = 2) = 0.15
P(X = 3) = 0.21
P(X = 4) = 0.22
P(X = 5) = 0.3
P(X = 6) = 0.06
Expected number:
Multiplying each outcome by its probability:
E(X) = 0*0.01 + 1*0.05 + 2*0.15 + 3*0.21 + 4*0.22 + 5*0.3 + 6*0.06 = 3.72
The expected number of defective lava lamps in a week is 3.72.
