None can be repaired (ii) 5 or less can be repaired (iii) At least 3 computers can be repaired
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Q(3)It is known that only 60% of a defected computer can be
repaired. A sample of 15 computers is selected randomly,
find the
(i) None can be repaired
(ii) 5 or less can be repaired
(iii) At least 3 computers can be repaired
Step by step
Solved in 5 steps
- A machine uses electrical switches that are known to have a 3% fail rate for each use. The machine uses three switches, and each switch is independent. (a) How many outcomes are there in the sample space? 8 (b) Let x = the number of failed switches in one run of the machine. How many possible values of x are there? 4 (c) What is the probability of exactly one switch failing in one run of the machine? 0.08468 X There is more than one way for one switch to fail in one run of the machine. (d) If the probability of no switches failing is 0.912673 and the probability of all switches failing is 0.000027, then complete the probability distribution table for x. X P(x) 0.912673 0 0.084681 1 ✓ 0.002619 2 ✔ 0.000027 3Only 6% of people has 0-negative blood type. If a local blood drive has 100 donors, what is the probability that at least 10 of the 100 donors has O-negative blood?A boxcar contains 6 complete car systems. 2/6 are randomly selected for tested and then classified as defective or not defective. If 2/6 are defective, find the probability that at least one of the systems will be defective.
- A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 90.2% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem! If 9 of the students from the special programs are randomly selected, find the probability that at most 6 of them graduated.P(at most 6) = At least 4 digits! Would it be unusual to randomly select 9 students from the special programs and get at most 6 that graduate? no, it is not unusual yes, it is unusual Would it be unusual to randomly select 9 students from the special programs and get only 6 that graduate? no, it is not unusual yes, it is unusualIn a survey of U.S. adults with a sample size of 2082, 370 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random from this sample without replacement. Complete parts (a) through (d). (a) Find the probability that both adults say Franklin Roosevelt was the best president since World War II. The probability that both adults say Franklin Roosevelt was the best president since World War II is O. (Round to three decimal places as needed.) (b) Find the probability that neither adult says Franklin Roosevelt was the best president since World War II. The probability that neither adult says Franklin Roosevelt was the best president since World War II is (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II. The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II is.…Your assembly plant buys identical widgets from 3 suppliers, A, B, and C. Suppliers A and B each supplies a quarter of your widgets each day, whereas Supplier C supplies the remaining 50%. Of the widgets supplied by A, B, and C, the average numbers of defective widgets are 5%, 3%, and 7%, respectively.(a) If a widget is selected at random, what is the probability of it being defective? Let A, B, C be the event of a randomly picked widget being sourced by suppliers A, B, and C, respectively. Furthermore, let D be the event of a randomly-picked widget being defective. Use these symbols A, B, C, and D when you do this problem.(b) What is the probability of a randomly-picked widget being supplied by A and also being defective?(c) If a randomly-picked widget is defective, what’s the probability of it having been supplied by A?(d) If a randomly-picked widget is defective, what’s the probability of it having been supplied by B? By C? What's the sum of the 3 probabilities…
- A machine uses electrical switches that are known to have a 3% fail rate for each use. The machine uses three switches, and each switch is independent. (a) How many outcomes are there in the sample space? 8 (b) Let x = the number of failed switches in one run of the machine. How many possible values of x are there? 4 (c) What is the probability of exactly one switch failing in one run of the machine?. 0.0847 X There is more than one way for one switch to fail in one run of the machine. (d) If the probability of no switches failing is 0.912673 and the probability of all switches failing is 0.000027, then complete the probability distribution table for x. X p(x) 0.912673 0 Need Help? Read It 0.084681 1 ✓ 0.002619 2 0.000027 3The vast majority of European vehicles sold in the world (BMW, Audi, Mercedes- Benz, etc...) receive their transmissions from either ZF Friedrichshafen AG or Continental AG. After the acquisition of TRW by ZF, ZF AG supplied 69% of transmissions, and Continental AG supplied 31%. If three European cars are randomly selected, what is the probability that 2 of the cars use ZF transmissions and 1 use Continental AG transmission? Enter your answer in percent terms (for example 12.5% must be entered as 12.5).2 A random sample of size 12 drawn from a population of size 200. The sample values and their probabilities are (52,0.004), (72,0.003), (64,0.005), (58,0.003), (42,0.002), (76,0.006), (71,0.006), (63,0.006), (87,0.008), (57,0.002), (61,0.003) and (86,0.007). Estimate population total with a 95% confidence interval by using probability proportional to size sampling.
- there were 50 individuals selected. It was found out that 20% of the samples were fully vaccinated. Let C be the number of fully vaccinated individuals while C' be the individuals who are not fully vaccinated. Let the number of fully vaccinated individuals be random variable X. a random sample of 2 individuals were chosen for data collection. How many possible outcomes for the data collection to take place? and draw a tree diagram and place on a probability table for fully vaccinantedIf two events are mutually exclusive why is P(A and B)=0?A manufacturer wishes to estimate the accuracy of its final visual inspection process. A random sample of 180 devices is selected from production. An item is defective or “bad” if it contains at least one visually noticeable cosmetic defect. The process improvement team agrees that the sample contains 27 bad items and 153 good items. The team gives the items to a “certified” operator for inspection. The operator rejects 10 good pieces and accepts 11 bad pieces and classifies the remainder correctly. What is the probability that the inspector will reject an item? P(inspector will reject an item) = ________%. Enter value using one decimal place.
