Suppose you are receiving a large shipment of Gizmos. The manufacturing standard

Question

Suppose you are receiving a large shipment of Gizmos. The manufacturing standards provide that 1% turn out defective. You randomly select a sample of n = 20 from each lot and return the shipment if more are found defective. The probability of returning a shipment is: a 0.0169 b 0.0116 c 0.0058 d 0.0025 A test has 50 multiple choice questions. Each question has five choices. The test scores are measured f of 100. If a student guesses the answers for all 50 questions, what is the expected score? a 30 b 25 c 20

Explanation / Answer

Ans:

21)Binomial distribution:

n=20

p=0.01

1-p=1-0.01=0.99

Probability of returning the defective=P(k>1)=1-BINOMDIST(1,20,0.01,TRUE)=0.0169

Option a is correct.

22)

As there are 5 choices for each question,so

probability of getting correct answer=1/5=0.2

Each question carries 2 marks as 50*2=100

Expected score=0.2*50*2=20

Option c is correct.

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