Chapter 5: Q R5.1. (page 334)
Rainy days The TV weatherman says, 鈥淭here鈥檚 a 30% chance of rain tomorrow.鈥 Explain what this statement means.
- Use simulation to model chance behavior.
Short Answer
It will rain tomorrow.
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Chapter 5: Q R5.1. (page 334)
Rainy days The TV weatherman says, 鈥淭here鈥檚 a 30% chance of rain tomorrow.鈥 Explain what this statement means.
It will rain tomorrow.
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Say in plain language what the event?
Lotto In the United Kingdom鈥檚 Lotto game, a player picks six numbers from 1 to 49 for each ticket. Rosemary bought one ticket for herself and one for each of her four adult children. She had the lottery computer randomly select the six numbers on each ticket. When the six winning numbers were drawn, Rosemary was surprised to find that none of these numbers appeared on any of the five Lotto tickets she had bought. Should she be? Design and carry
out a simulation to answer this question. Follow the four-step process.
Box of chocolates According to Forrest Gump, 鈥淟ife is like a box of chocolates. You never know what you鈥檙e gonna get.鈥 Suppose a candy maker offers a
special 鈥淕ump box鈥 with chocolate candies that look the same. In fact, of the candies have soft centers and 6 have hard centers. Choose of the
candies from a Gump box at random.
(a) Draw a tree diagram that shows the sample space of this chance process.
(b) Find the probability that one of the chocolates has a soft center and the other one doesn鈥檛.
Rolling dice Suppose you roll two fair, six-sided dice鈥攐ne red and one green. Are the events 鈥渟um is 8鈥 and 鈥済reen die shows a 4鈥 independent? Justify
your answer.
In government data, a household consists of all occupants of a dwelling unit. Choose an American household at random and count the number of
people it contains. Here is the assignment of probabilities for your outcome:
The probability of finding people in a household is the same as the probability of finding people. These probabilities are marked ??? in the table of the distribution. The probability that a household contains 3 people must be
(a) (b) (c) (d) (e) between and, and we can say no more. 
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