License plates are made using 3 letters followed by 2 digits. How many different plates can be made if
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License plates are made using 3 letters followed by 2 digits. How many different plates can be made if repetition of letters and digits is allowed?
Solution: The total number of different plates is
\[\#\text{ Plates}=26\times 26\times 26\times 10\times 10=1,757,600\]
which is computed by using the multiplication principle. -
In 2001 the stock market took some big swings up and down. One thousand investors were asked how often they tracked their investments. The table below shows their responses. What is the probability that an investor tracks the portfolio monthly?
How often tracked? Response Daily 235 Weekly 278 Monthly 292 Few times a year 136 Do not track 59
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In a battleground state, 36% of all voters are Republicans. Assuming that there are only two parties - Democrat and Republican, if two voters are randomly selected for a telephone survey, what is the probability that they are both Republicans? Round your answer to 4 decimal places
- You are dealt 2 cards from a shuffled deck of 52 cards, without replacement. There are four suits of 13 cards each in a deck of cards; two of them are black and two of them are red. What is the probability that both cards are red? Round your answer to 3 decimal places.
4. The table below shows the drink preferences for people in 3 different age groups. If one of the 255 subjects is randomly chosen, what is the probability that the person prefers orange juice, given they are over 40? Round your answer to 3 decimal places.
| Water | Orange juice | Cola | |
| Under 21 years | 40 | 25 | 20 |
| 21 – 40 years | 35 | 20 | 30 |
| Over 40 years | 20 | 30 | 35 |
- a. The table below shows the drinking habits of adult men and women.
| Non-Drinker | Occasional Drinker | Regular Drinker | Heavy Drinker | Total | |
| Men | 387 | 45 | 90 | 37 | 559 |
| Women | 421 | 46 | 69 | 34 | 570 |
| Total | 808 | 91 | 159 | 71 | 1 , 129 |
If one of the 1,129 people is randomly chosen, what is the probability that the person is a man or a heavy drinker? Round your answer to 3 decimal places.
- The table below shows the drinking habits of adult men and women.
| Non-Drinker | Occasional Drinker | Regular Drinker | Heavy Drinker | Total | |
| Men | 387 | 45 | 90 | 37 | 559 |
| Women | 421 | 46 | 69 | 34 | 570 |
| Total | 808 | 91 | 159 | 71 | 1 , 129 |
If one of the 1,129 people is randomly chosen, what is the probability that the person is a regular drinker or heavy drinker? Round your answer to 3 decimal places.
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Solution: The downloadable solution consists of 5 pages, 588 words.
Deliverable: Word Document
Deliverable: Word Document
