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Identify the proper distribution to use and then use it to find the indicated probability. Note if any of the events could be termed unusual.
Identify the proper distribution to use and then use it to find the indicated probability. Note if any of the events could be termed "unusual." 1. One out of every 100 tax returns that a tax auditor examines requires an audit. Find the probability that the first audit is the 25th tax return the auditor examines. Distribution type: Probability: 2. A newspaper finds that the mean number of typographical errors per page is four. Find the probability that the number of typographical errors found on any given page is more than three. Distribution type: Probability: 3. Sixty-eight percent of adults would still consider a car brand despite product/safety recalls. You randomly select 20 adults. Find the probability that the number of adults that would still consider a car brand despite product/safety recalls is at most one. Distribution type: Probability: 4. The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill will be between $90 and $120. Distribution type: Probability: 5. When tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless with corresponding probabilities: 0.37, 0.42, 0.11, and 0.10. Ten plants are selected. Find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will be short and colorless. Distribution type: Probability
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