PROBABILITY HANDOUT #2/PRACTICE QUIZ BUAD 331 QUIZ #3 NAME 1. 3% of aspirin tablets sent to the Medassist Pharmaceutical Company are expected to not meet required specifications. They’ve just received...

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PROBABILITY HANDOUT #2/PRACTICE QUIZ BUAD 331 QUIZ #3 NAME 1. 3% of aspirin tablets sent to the Medassist Pharmaceutical Company are expected to not meet required specifications. They’ve just received a shipment of 1,000 tablets. A. Let X be the random variable measuring the number of aspirin tablets in the shipment that do not meet required specifications. What is the expected value of the random variable X? B. Given that the standard deviation for the number of defective aspirin is 5.4, we can safely say that 95% of all samples of 1,000 tablets would have between and tablets that do not meet required specifications. C. What’s the probability that fewer than 20 of the tablets in the shipment do not meet required specifications? 2. A multiple choice test routinely given to job candidates at Geico has 10 questions on it. Each multiple choice question has choices a, b, c, and d, but only one answer is correct. Suppose that a job candidate guesses every single answer. A. What is the probability that the job candidate gets at least one question correct? B. What is the probability that the job candidate passes the exam by getting at least 7 correct? 3. The heights of adult men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. A. The Boeing 757-200 aircraft has doors with a height of 72 inches. What’s the probability that a randomly selected adult male can enter the aircraft without bending? B. What is the probability that a randomly selected adult male is between 67 inches and 71.5 inches? C. How large would the door on the 757-200 aircraft need to be so that 98% of adult males could enter without bending? D. If a sample of 15 adult males was taken, what’s the probability that the average height of the sample exceeds 70 inches? 4. Assume that 63% of people at a convention have at least a Bachelor’s degree. If a sample of 60 people was taken from the convention, what’s the probability that the percentage of the sample with at least a Bachelor’s degree is less than 65%?