1. A country’s government has devoted considerable funding to missile defense research over the past 20 years. The latest development is the Space-Based Infrared System (SBIRS), which uses satellite imagery to detect and track missiles. The probability that an intruding object (e.g., a missile) will be detected on a flight track by SBIRS is 0.6. Consider a sample of 10 simulated tracks, each with an intruding object. Let x equal the number of these tracks where SBIRS detects the object. Complete parts a through d.
2. According to a consumer survey of young adults (18-24 years of age) who shop online, 18% own mobile phone with internet access. In a random sample of 200 young adults who shop online, let x be the numbers who own a mobile phone with internet access.
3. A table classifying a sample of 141 patrons of a restaurant according to type of meal and their rating of the service is shown to the right. Suppose we select, at random, one of the 141 patrons. Given that the meal was dinner, what is the probability that the service was good?
4. If x is a binomial random variable, use the binomial probability table to find the probabilities below.
5. The chances of a tax return being audited are about 17 in 1,000 if an income is less than $100,000 and 34 in 1,000 if an income is $100,000 or more. Complete parts a through e.
6. A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspiration of all major bridges in a city. For the year 2020, the engineers forecast that 6% of all major bridges in that city will have ratings of 4 or below. Complete parts a and b.
7. Zoologists investigated the likelihood of fallow deer bucks fighting during the mating season. During a 270-hour observation period, the researchers recorded 205 encounters between two bucks. Of these, 161 involved one buck clearly initiating the encounter with the other. In these 161 initiated encounters, the zoologists kept track of whether or not a physical contact fight occurred and whether the initiator ultimately won or lost the encounter. (The buck that is driven away by the other is considered the loser.) Suppose we select one of these 161 encounters and note the outcome (fight status and winter).
8. According to a certain golf association, the weight of the golf ball shall not be greater than 1,620 ounces (45.93 grams). The diameter of the ball shall not be less than 1.680 inches. The velocity of the ball shall not be greater than 250 feet per second. The golf association periodically checks the specifications of golf balls using random sampling. Five dozen of each kind are sampled, and if more than three do not meet size or velocity requirements, that kind of ball is removed from golf association’s approved list. Complete parts a and b.
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