Suppose we have a fuse box containing 16 fuses of which 6 are defective (D). If 2 fuses are selected at random and removed from the box in succession without replacing the firs.The probability that both fuses are defective is
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- An urn contains 8 blue balls, 1 green and 1 white ball. Suppose you independently draw 11 balls, uniformly at random from the urn and with replacement. This means that each time you draw a ball, you put it back into the urn. Compute the probability that the 11th ball that you draw is a color that has not been seen before.An average of 2 calls arrives every 2 minutes. For a period of 0.1667 hour, what is the probability that no calls arrive; one call arrives; two calls arrive and; more than two calls arrive; and If the average call duration is 2 minutes and a call lasted for 3 minutes, what is the probability that the call will last for at least another 3 minutes?An item produced by a company is susceptible to two types of defects namely, A and B. The probability that anitem has defect A is 0.167. The probability that it has defectB is 0.125. Calculate the probability that the item has(i) Both A and B defects(ii) Only defect A(iii) Only defect B(iv) One defect only(v) At least one defect
- Suppose a fuse box containing 20 fuses of which 5 are defectives. If 2 fuses were selected in random and removed from the box in succession without replacing the first, what is the probability that both fuses are defective.Consider three boxes containing a brand of light bulbs. Box I contains 6 bulbsof which 2 are defective, Box 2 has 1 defective and 3 functional bulbs and Box 3 contains 3 defective and 4 functional bulbs. A box is selected at random and a bulbdrawn from it at random is found to be defective. Find the probability that the boxselected was Box 2is the probability that a system will high fidelity will also have high selectiy. If the probability that a communication system will have high fidelity is ·81 and the probability that it will have high fidelity and selectivity is ·18. What ity 2 obability that a system will high fidelity will also have high selectiv-
- An insurance agent accepts policies of 5 men all of identical age and in good health. The probability that a man of this age will be alive 30 years is 2 Find 3 - the probability that in 30 years (i) (ii) (iii) at most three will be alive. all five men. at least one manSuppose that Bag 1 contains 4 red balls and 2 green balls, and Bag 2 contains 3 red balls and 3 greenballs. You draw two balls at random from Bag 1, and two balls at random from Bag 2.(a) Compute the probability that all four balls drawn are the same colour.(b) Compute the probability that all four balls drawn are green given that all four balls drawn are thesame colour.1 There are two jars with yellow and green marbles. In jar A there are 5 yellow and 8 green while in jar B there are 2 yellow and 6 green marbles. Two marbles are transferred from jar A to jar B and then one marble is taken from jar B. Find the probability that the marble drawn from jar B is yellow. Given that the marble drawn is yellow, find the probability that it was originally from jar A.
- Guess that a person workout 6 days in a week. At each working days, he goes for either ‘A named Training ’ or ‘B named Training’. The probability that he chooses to train for "B named Training" on a single working day is 0.7. 1. Calculate the probability that exactly 5 of the 6 days he’ll go for "B named Training". 2. What is the probability that he trains for ‘A named Training’ at least twice in 6 days ? c. Find the EXPECTED number of "B named Training-days"A new box of 40 candles contains 3 defective candles. Find the probability of selecting 3 candles and 13. all 3 candles are defective calo bsb mot hY 14. none are defective 15. At least one is defectiveSuppose 50% of the registered voters in a country are Republican if a sample of 598 voters is selected what is the probability that the simple proportion of republicans will be greater than 47% round your answer to 4 decimal places