Question: Please state what p, n, and x are. Show work. A manufacturer of halogen bulbs knows that 3% of the production of their 100 W

Please state what p, n, and x are. Show work.

  1. A manufacturer of halogen bulbs knows that 3% of the production of their 100 W bulbs will be defective. What is the probability that exactly 5 bulbs in a carton of 144 bulbs will be defective?
  2. A fair die has four faces numbered one to four. What is the probability of rolling a two exactly three times in ten rolls of the die?
  3. A packet of vegetable seeds has a germination rate of 96%. What is the probability that exactly 10 of 12 seeds planted will sprout?
  4. A student take a five question multiple-choice quiz. Each question has four possible responses. The student guesses at random for each question. Calculate the probability for that if a student guesses they get exactly 4 correct.
  5. There are 10 members on a committee. The probability of any member attending a randomly chosen meeting is 0.9. The committee cannot do business if more than 3 members are absent. What is the probability that 7 or more members will be present on a given date?

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