C. However, 20% of laptop from Company A is prone to defect whereas 10% from Company B and 5% from Company C. Draw a tree diagram for the situation and hence find the probability the laptop is from Company Cif it is defect.
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- Say that COOP Ale Works, an Oklahoma brewery, uses three production lines to manufacture beer cans. The table below gives percentages of nonconforming cans, categorized by the type of nonconformity, for each of the three lines during a particular year. During this period, line 1 produced 500 nonconforming cans, line 2 produced 400 such cans, and line 3 was responsible for 600 nonconforming cans. Suppose that one of these 1500 cans was selected at random. Table attached in Image. a. What is the probability that the can was produced by line 1? b. What is the probability that the reason for nonconformance is a crack? c. If the selected can came from line 1, what is the probability that it had a blemish? d. Given that the selected can had a surface defect, what is the probability that it came from line 2?In GC University 4% of boys and 1% of girls are taller than 6 feet and 60% of students are girls. If a student is selected at random and taller than 6 feet, what is the probability that the student is a girl?4. What is the probability of getting either a three or a four on at least one the two dice?
- According to the Chronicles of Contrived Statistics (March, 2016), the probability that scientists from Area 51 will begin selling pet aliens in the next month is 21%. The probability that either Elon Musk will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 55%. Finally, they list that probability of both happening in the next month is 22%. What is the probability that Elon Musk will offer you a free trip into space in the next month?Of the students who registered for the statistical teaching assistant, 75 percent came from the economics department, 19 percent came from the Islamic economics department, and 6 percent came from the accounting department. Students who did not pass 94 percent of the economics major, 95 percent of the Islamic economics major, and 96 percent of the accounting major, the rest were students who passed. If 1 student passes, a. What is the probability that the student is from the Islamic economics department?A psychology teacher teaches two statistics classes back-to-back, lecture L1 at 09:00 am and lecture CL1 at 10 am. Suppose the probability that the instructor gives a good L1 lecture is 0.25. If L1 lecture is good, then CL1 lecture is also good with probability 0.50. However, if L1 lecture is bad, then there is an 90% chance that CL1 lecture will also be bad. a) What proportion of the CL1 lectures are good? b) Suppose CL1 lecture was good. What is the probability that L1 lecture was also good? c) What is the probability that at least one lecture is good (i.e., either L1 lecture is good or CL1 lecture is good, or both)?
- . Three airlines serve a Srinagar. Airline ‘Amira’ has 50% of all the scheduled flights,airline ‘Biyas’ has 30%, and airline ‘chinar’ has the remaining 20%. Their on-time ratesare 80%, 65%, and 40%, respectively. Part 1) Draw the Probability tree diagram. (Note: You may use any software for this, likeMS paint, MS office, etc.) Part 2) A plane has just left on time. What is the probability that it was airline ‘Amira’?The distribution of car rental by municipal members from the three companies is as follows:60% from company1, 30%from company2 and 10% from company3. According to historical data, 9% of vehicles from company1, 20% of vehiclesfrom company2 and 6% of vehicles from company3 require maintenance,a) What is the probability that a vehicle rented to the municipality will require maintenance?b) What is the probability that the vehicle that needs maintenance is from the 2nd company?According to the survey of American households, the probability that the household owns Smart 3D HDTV if the house has two earning members is 51%. Of the households surveyed, 47% did not have two earning members and 48%had Smart 3D HDTVs. If the household is selected which owns a Smart 3D HDTV, what is the probability that this house does not have two earning members?
- What is the probability that seven-digit phone number has one or more repeated digits (leading digit cannot be zero)?Suppose that more than a decade ago high levels of lead in the blood put 82% of children atrisk. A concerted effort was made to remove lead from the environment. Suppose, accordingto a survey, only 9% of children in the United States are at risk of high blood-lead levels. In arandom sample of 100 children taken more than a decade ago, what is the probability that 70or more had high blood-lead levels? Group of answer choices 0.867 0.839 1.000 0.000 0.117. A swimmer, Sarah, hopes to compete in an upcoming meet. There are 8 team members eligible for the breaststroke event at the meet, but only 1 team member will be randomly selected to compete in that event. There are 4 team members eligible for the butterfly event at the meet, but only 1 team member will be randomly selected to compete in that event. Sarah is eligible to compete in both events. What is her chance of being selected for at least one of the two events? Select one: a. 1 in 4 b. 1 in 8 c. 3 in 8 d. 3 in 12
