Adult bedroom: 0.03 Child bedroom: 0.15 Other bedroom: 0.14 Office or den: 0.40 Other rooms: 0.28 (a) What is the probability that a PC is in a bedroom? (b) What is the probability that it is not in a bedroom? (c) Suppose a household is selected at random from households with a PC; in what room would you expect to find a PC? Experiment_2
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- A company produces machine components which pass through an automatic testing machine.5% of the components entering the testing machine are defective .however the machine is not entirely reliable.if a component is defective there is 4% probability that it will not be rejected .if a component is not defective there is 7% probability that it will be rejected.(a) _ What fraction of all components are rejected ?(b)_ What fraction of the components rejected are actually not defective?(c)_ What fraction of those not rejected are defective?• According to data published by the international data security company, Blancco, 27.0% of iPhone 65 devices brought in to mobile carriers and processing companies utilizing Blancco's services between August 1, 2018 and October 30, 2018 were found to have diagnostic issues. If 30 iPhone 6S devices brought in to one of these hundreds of mobile carriers were randomly selected, what is the probability that at least one iPhone 6S will have diagnostic issues?Tire pressure monitoring system is war in the driver when the tire pressure of the vehicle is 28% below the target pressur. suppose the target tire pressure of a certain car is 32 psi. at what psi will the tea TPMS trigger the warning for this car? suppose tire pressure is a normally distributed random variable with a standard deviation equal to three psi. If the cars average tire pressure is on target, what is the probability that the TPMS will trigger a warning? The manufacturers recommend correct inflation range is 30 psi to 34 psi assume the tires average psi is on target. If a tire on the car is inspected at random, what is the probability that the tires inflation is within the recommended range?
- Human pregnancies of healthy singleton fetuses (i.e., excluding pregnancies with early-term complications or miscarriages, and multiple births) are normally distributed with a mean of 266 days and a standard deviation of 13 days. What is the probability that a baby is born between 250 and 275 days? If we stipulate that a baby is premature when born at least 3 weeks early, what is the probability a randomly selected baby is premature? If we stipulate that a baby is overdue when born more than 2 weeks after the expected date, what is the probability a randomly selected baby is overdue?Find the probability of the indicated event if P(E) =.25 and P(F)=.45 Find P(E or F) if P(E and F)=.20 P(E or F)=_Exercise 24 Let A and B be 2 events : P(A) : 1 and P(B') 1 Can A and B be mutually exclusive? Why?
- The amountof cashew nuts per packet (?), sold by a company,can be modelled usinga normal random variable with a mean of 115.0 grams and a varianceof 4.0 grams. Determine the probability that the amount of cashew nuts, in a randomly selected packetsold by this company,is: (a)more than 113grams; (b)between 117.5grams and 120grams.A particularly long traffic light on your morning commute is green 15% of the time that you approach it. Assume that each morning represents an independent trial. Choose the correct answer from drop-down options (a) What is the expected number of the light is green in five mornings? ANSWER: The expected number of the light is green in five mornings is (b) Over five mornings, what is the probability that the light is green on exactly one day? ANSWER: The probability that the light is green on exactly one day in 5 mornings is1% of the computers at UMD have been compromised by a cyberattack. DiT has an intrusion detection system (IDS) that raises an alert 97% of the time if a computer is compromised, and does not raise an alert 95% of the time if a computer is not compromised. What is the probability that the IDS raises an alert? number (rtol=0.01, atol=D0.0001) What is the probability that the computer has not been compromised when the IDS raises an alert? number (rtol=0.01, atol=D0.0001)
- (a) _3% of customers at the snack counter of a movie theater buy soft drinks. Among those who buy soft drinks, 52% also purchase popcorn. What is the probability that a customer at the counter buys a drink and popcorn? Theaters use this type of calculation to decide which products should be bundled to appeal to customers. Based on the probability so calculated, what is your recommendation whether to bundle the products or not? If the proportion of customer who buys popcorn is 67% . Then find the probability that a customer will buy a popcorn or a soft drink?Among 8509 cases of heart pacemaker malfunctions, 439 were found to be caused by firmware, which is software programmed into the device. If the firmware is tested in 3 different pacemakers randomly selected from this batch of 8509 and the entire batch is accepted if there are no failures, what is the probability that the firmware in the entire batch will be accepted? Is this procedure likely to result in the entire batch being accepted? The probability is . This procedure is to result in the entire batch being accepted. (Round to three decimal places as neede likely certain unlikely