Chapter 3: Q99SE (page 203)
Given that and, findlocalid="1662699184645" .
Short Answer
The value of P(B) is 0.5.
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Chapter 3: Q99SE (page 203)
Given that and, findlocalid="1662699184645" .
The value of P(B) is 0.5.
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鈥淟et鈥檚 Make a Deal.鈥滿arilyn vos Savant, who is listedin Guinness Book of World Records Hall of Fame for鈥淗ighest IQ,鈥 writes a weekly column in the Sunday newspaper supplement Parade Magazine. Her column, 鈥淎skMarilyn,鈥 is devoted to games of skill, puzzles, and mind-bendingriddles. In one issue (Parade Magazine, February 24, 1991), vos Savant posed the following question:
Suppose you鈥檙e on a game show, and you鈥檙e given a choice of three doors. Behind one door is a car; behind the others, goats. You pick a door鈥攕ay, #1鈥攁nd the host, who knows what鈥檚 behind the doors, opens another door鈥攕ay #3鈥攚hich has a goat. He then says to you, 鈥淒o you want to pick door #2?鈥 Is it to your advantage to switch your choice?
Marilyn鈥檚 answer: 鈥淵es, you should switch. The first door has a 13 chance of winning [the car], but the second has a 23 chance [of winning the car].鈥 Predictably, vos Savant鈥檚 surprising answer elicited thousands of criticalletters, many of them from PhD mathematicians, who disagreed with her. Who is correct, the PhDs or Marilyn?
Two fair dice are tossed, and the face on each die is observed.
showing on each die}
Sum of two numbers showing is}
Sum of two numbers showing is even}
A sample space contains six sample points and events A, B, and C as shown in the Venn diagram. The probabilities of the sample points are
a. Which pairs of events, if any, are mutually exclusive? Why?
b. Which pairs of events, if any, are independent? Why?
c. Find by adding the probability of the sample points and then using the additive rule. Verify that the answers agree. Repeat for
Study of why EMS workers leave the job. An investigation into why emergency medical service (EMS) workers leave the profession was published in the Journal of Allied Health (Fall 2011). The researchers surveyed a sample of 244 former EMS workers, of which 127 were fully compensated while on the job, 45 were partially compensated, and 72 had no compensated volunteer positions. EMS workers who left because of retirement were 7 for fully compensated workers, 11 for partially compensated workers, and 10 for no compensated volunteers. One of the 244 former EMS workers is selected at random.
a. Find the probability that the former EMS worker was fully compensated while on the job.
b. Find the probability that the former EMS worker was fully compensated while on the job and left due to retirement.
c. Find the probability that the former EMS worker was not fully compensated while on the job.
d. Find the probability that the former EMS worker was either fully compensated while on the job or left due to retirement.
Most likely coin-tossing sequence. In Parade Magazine鈥檚 (November 26, 2000) column 鈥淎sk Marilyn,鈥 the following question was posed: 鈥淚 have just tossed a [balanced] coin 10 times, and I ask you to guess which of the following three sequences was the result. One (and only one) of the sequences is genuine.鈥
(1) H HHHHHHHHH
(2) H H T T H T T H HH
(3) T TTTTTTTTT
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