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- Rework problem 18 from section 3.3 of your text, involving filling in missing probabilities on a tree diagram. Construct a copy of figure 3.11 in your text, where the first outcome is one of (A,B,C) and the second outcome in each case is one of (1,2,3) (only 1 or 2 in the case of outcome C). Use the following probabilities instead of those given in your text: Pr[A1] Pr[2|A] Pr[A2] Pr[A3] Pr[B1] Pr[2|B] Pr[B3] Pr[C1] Pr[C2] 12 1 12 12 1 1 12 Find the following missing probabilities: (1) Pr[A] = (2) Pr[1|A] (3) Pr[2|A] = (4) Pr[B] =An observer stands at a highway overpass and counts the automobiles that pass by. When he sees a red automobile, he stops counting. What is the likelihood that 10 automobiles will be spotted if the probability of red cars is 0.20?In a poll conducted by the General Social Survey, 70% of respondents said that their jobs were sometimes or always stressful. Twelve workers are chosen at random. Round the answers to at least four decimal places.What is the probability that more than 9 of them find their jobs stressful?
- It has been found from experience that there is an average of five faults per 50 metres of cloth produced by a linen factory. If we randomly select 50 metres of cloth, what is the probability that there will be more than two faults?At a train reservation counter, customers come to desk with a mean time of 2.5 minutes. What is the probability that up to two minutes, 2 customers have come at the same time?According to a survey conducted by Tourism Malaysia, 70% of Malaysian companies give employees 25 to 30 days of annual leave. Find the probability that among 6 companies surveyed at random, more than half of the companies give employees 25 to 30 days of annual leave
- Your son is a teacher in a state university. As per her class rule, the probability of not getting an additional points for a major examination is 2/3. If there are three engineering students to be selected at random, evaluate the probability that at least one of them gets additional points.A survey showed that 7575% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 2222 adults are randomly selected, find the probability that no more thanno more than 11 of them need correction for their eyesight. Is 11 a significantly lowlow number of adults requiring eyesight correction?According to a survey, 28.5% of credit-card-holding families in a certain area hardly ever pay off the balance. Suppose a random sample of 29 credit-card-holding families is taken. Find the probability that at least 7 families hardly ever pay off the balance.
- Suppose the amount of gasoline sold daily at a service station is uniformly distributed with a minimum of 1571 gallons and a maximum of 8154 gallons. What is the probability that daily sales will fall between 1951 gallons and 4845 gallons?The mosquitos are out in your back yard, and they bite you at random times. Each bite happens independently of the last bite. The average time between bites is 2.501 minutes. What is the probability that it takes longer than 1 minutes for them to first bite you?A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player's claim is true? Assume that the player has a 0.10 probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss 5 or more of her first 20 second serves. The dotplot displays the number of second serves missed by the player out of the first 20 second serves in 100 simulated matches. ▪………………………. ●●●●●●●●●●●●●● A●●●●●●●● …………….. 1 2 3 4 5 6 Number of missed serves in simulated match 7 Is there convincing evidence that the player misses more than 10% of her second serves? Why or why not? No, there is not convincing evidence that the player misses more than 10% of her second serves. Missing 5 out of 20 is better than expected. No, there is not convincing evidence that the player misses more than 10% of her second serves. Assuming the player makes…