A box contains a large number of transistors, 30% of them are of type A and 70% are of type B. If a random sample of 4 is taken then determine the probability that it contains a. b. C. 4 type A transistors 4 type B transistors 2 type A resistors and 2 type B transistors
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- Strands of copper wire from a manufacturer are analyzed for strength and conductivity. The results from 100 strands are as follows: High Strength Low Strength 9 High conductivity Low conductivity 74 15 2 a) If a strand is randomly selected, what is the probability that its conductivity is high and its strength is high? Round your answer to two decimal places (eg. 0.98) b) If a strand is randomly selected, what is the probability that its conductivity is low or the strength is low? Round your answer to two decimal places (e.g. 0.98). c) Consider the event that a strand has low conductivity and the event that the strand has a low strength. Are these two events mutually exclusive? Statistical Tables and ChartsConsider two boxes: box I contains 3 blue and 2 red marbles; box II contains 3 blue and 5 red marbles. A box is selected at random, and a marble is drawn from it at random. What is the probability that the selected marble is blue? Do NOT round your answer.Just tell me the correct one but please 100% accurate
- A factory has three machines such as A, B and C that produce 5 kΩ resistors. 80% of the resistors produced by A machine are within 5% tolerance and 70% of the resistances produced by B machine are within 5% tolerance. 60% of the production of the C machine provides this tolerance. Machines A, B and C produce 5000, 2000 and 3000 resistors in 1 hour, respectively. All produced resistors are shipped randomly mixed. 1.The probability that a resistance produced by this factory has a 5% tolerance, i.e. 5000 ± 250 Ω ? 2.Probability of a resistor within a randomly selected tolerance being produced from machine B? 3.Probability of a resistor within a randomly selected tolerance being produced from C machineA specific article is produced by machines M1, M2, M3 and M4. The probability that a random articleis produced by M1, M2 and M3 is 0.2, 0.3 and 0.1 respectively. The probability for each machine to producedefective articles is given as M1 = 0.03, M2 = 0.02, M3 = 0.04 and M4 = 0.01. What is the probability that arandom article was made by M4, given that it is non-defective?Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that 20% of all ticks in a certain location carry Lyme disease, 6% carry HGE, and 6% of the ticks that carry at least one of these diseases in fact carry both of them. If a randomly selected tick is found to have carried HGE, what is the probability that the selected tick is also a carrier of Lyme disease? (Round your answer to four decimal places.)
- 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.Suppose that you select a random sample of 200 pharmaceutical corporate managers and a study showed that the proportion held by women is 0.15, What is the probability that in the sample less than 15% of the corporate managers will be women? What is the probability that in the sample between 13% and 17% of the corporate managers will be women? What is the probability that in the sample between 10% and 20% of the corporate managers will be women? If a sample of 100 is taken, how does this change your answers to (a) through (c)?Under normal operating conditions 1.5% of the transistors produced in a factory are defective. An inspector takes a random sample of forty transistors and finds that two are defective. a) What is the probability that exactly two transistors will be defective from a random sample of forty under normal operating conditions? b) What is the probability that more than two transistors will be defective from a random sample of forty if conditions are normal?
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