Q1) A large shipment of TV sets is accepted upon delivery if the inspection of 12 randomly selected TV sets yields no more than one defective TV.
a) Determine the probability that this shipment is accepted if 5% of the total shipment is defective.
b) Determine the probability that this shipment is not accepted if 10% of this shipment is Determine
c) Determine the value of z such that 45% of the distribution lies between it and the mean
d) Determine the mean and standard deviation of following probability distribution
|
x
|
1
|
2
|
3
|
|
P(x)
|
0.4
|
0.15
|
0.35
|
Q2) In testing new drug, researchers found that 5% of all patients using it will have mild side effect. Random sample of 15 patients using drug is selected. Determine the probability that:
a) Exactly three will have this mild side effect
b) At least two will have this mild side effect.