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Chapter 5: Q 4.1. (page 323)
During World War II, the British found that the probability that a bomber is lost through enemy action on a mission over occupied Europe was Assuming that missions are independent, find the probability that a bomber returned safely from missions.
The probability is
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A Titanic disaster Refer to Exercise 64.
(a) Find P(survived | second class).
(b) Find P(survived).
(c) Use your answers to (a) and (b) to determine whether the events “survived” and “second class” are independent. Explain your reasoning.
Fill ’er up Refer to Exercise 83. Given that the customer paid with a credit card, find the probability that she bought premium gas.
Explain why events A and B are mutually exclusive
To simulate whether a shot hits or misses, you would assign random digits as follows:
(a) One digit simulates one shot; and are a hit; other digits are a miss.
(b) One digit simulates one shot; odd digits are a hit and even digits are a miss.
(c) Two digits simulate one shot; to are a hit and to are a miss.
(d) Two digits simulate one shot; to are a hit and to are a miss.
(e) Two digits simulate one shot; to are a hit and to are a miss.
Box of chocolates According to Forrest Gump, “Life is like a box of chocolates. You never know what you’re gonna get.” Suppose a candy maker offers a
special “Gump box” 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’t.
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