Answer:
a) The probability that this whole shipment will be accepted is 30%.
b) Many of the shipments with this rate of defective aspirin tablets will be rejected.
Step-by-step explanation:
We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.
We select a sample of size 48 and test for defectives.
If more than one aspirin is defective, the batch is rejected.
The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48
We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

Multiply 200 by .15, since 15% is .15 as a decimal. 200 x .15 = 30. This means that his health care rate will increase by $30 next year.
Answer:
0.430
Step-by-step explanation:
Product has four parts :
For proper functioning, each part must function :
Let the 4 parts be:
A, B, C and D
Proper functioning probability :
A and B = 0.79
C and D = 0.83
For proper functioning :
P(A) * P(B) * P(C) * P(D)
0.79 * 0.79 * 0.83 * 0.83
= 0.42994249
= 0.430
Answer:
66.67% probability of selecting a black marble from the bag.
Step-by-step explanation:
Initially there are 16 marbles, 10 of which are black and 6 of which are red.
A red marble is drawn and not put back. So now there are 15 marbles, of which 10 are black.
So there is a 10/15 = 2/3 = 0.666% 7 = 66.67% probability of selecting a black marble from the bag.