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King Fahd University of Petroleum & Minerals Department of Mathematical Sciences Stat - 211. Quiz # 4 (semester 051) SECTION: 01 INSTRUCTOR: MUSAWAR MALIK NAME: ID #: 1. If the probability of passing a college entry test is 0.85, find the probability that among 20 candidates who are writing this test at least 2 will pass the test. 2. If on the average three cars arrive per hour at KFUPM emergency medical center. Find the probability that there will be at most 4 car arrivals in 45 minutes. 3. The burning time of an experimental rocket is a random variable having the normal distribution with Mean = 4.76 seconds and standard deviation = 0.04 second. What is the probability that this kind of rocket will burn any where from 4.70 to 4.82 seconds? 4. A quality control engineer inspects a random sample of 3 batteries from each lot of 24 car batteries that is ready to be shipped. If such a lot contains 6 batteries with slight defects. What is the probability that the inspector’s sample will contain only one of the batteries with defects?