Consider the experiment of randomly selecting a teenager from the population of teenagers aged 14 to 18. a. Compute the probability of being financially independent for each of the four age categories. b. What is the probability of being financially independent before the age of 25?

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20. Age of Financial Independence. Suppose that the following table represents a sample
of 944 teenagers’ responses to the question, “When do you think you will become
financially independent?"
Age of
Financially
Independent
Number of
Responses
16 to 20
191
21 to 24
467
25 to 27
244
28 or older
42
Consider the experiment of randomly selecting a teenager from the population of
teenagers aged 14 to 18.
a. Compute the probability of being financially independent for each of the four
age categories.
b. What is the probability of being financially independent before the age of 25?
Transcribed Image Text:20. Age of Financial Independence. Suppose that the following table represents a sample of 944 teenagers’ responses to the question, “When do you think you will become financially independent?" Age of Financially Independent Number of Responses 16 to 20 191 21 to 24 467 25 to 27 244 28 or older 42 Consider the experiment of randomly selecting a teenager from the population of teenagers aged 14 to 18. a. Compute the probability of being financially independent for each of the four age categories. b. What is the probability of being financially independent before the age of 25?
c. What is the probability of being financially independent after the age of 24?
d. Do the probabilities suggest that the teenagers may be somewhat unrealistic in
their expectations about when they will become financially independent?
21. Fatal Collisions with a Fixed Object. The National Highway Traffic Safety
Administration (NHTSA) collects traffic safety-related data for the U.S. Department of
Transportation. According to NHTSA’s data, 10,426 fatal collisions in 2016 were the
result of collisions with fixed objects (NHTSA website, https://www.careforcrashvictims
.com/wp-content/uploads/2018/07/Traffic-Safety-Facts-2016_-Motor-Vehicle-Crash-Data
-from-the-Fatality-Analysis-Reporting-System-FARS-and-the-General-Estimates-System
-GES.pdf). The following table provides more information on these collisions.
Fixed Object Involved in Collision
Number of Collisions
Pole/post
Culvert/curb/ditch
1,416
2,516
2,585
896
Shrubbery/tree
Guardrail
Embankment
947
Bridge
Other/unknown
231
1,835
Assume that a collision will be randomly chosen from this population.
a. What is the probability of a fatal collision with a pole or post?
b. What is the probability of a fatal collision with a guardrail?
c. What type of fixed object is least likely to be involved in a fatal collision? What
is the probability associated with this type of fatal collision?
d. What type of object is most likely to be involved in a fatal collision? What is the
probability associated with this type of fatal collision?
Transcribed Image Text:c. What is the probability of being financially independent after the age of 24? d. Do the probabilities suggest that the teenagers may be somewhat unrealistic in their expectations about when they will become financially independent? 21. Fatal Collisions with a Fixed Object. The National Highway Traffic Safety Administration (NHTSA) collects traffic safety-related data for the U.S. Department of Transportation. According to NHTSA’s data, 10,426 fatal collisions in 2016 were the result of collisions with fixed objects (NHTSA website, https://www.careforcrashvictims .com/wp-content/uploads/2018/07/Traffic-Safety-Facts-2016_-Motor-Vehicle-Crash-Data -from-the-Fatality-Analysis-Reporting-System-FARS-and-the-General-Estimates-System -GES.pdf). The following table provides more information on these collisions. Fixed Object Involved in Collision Number of Collisions Pole/post Culvert/curb/ditch 1,416 2,516 2,585 896 Shrubbery/tree Guardrail Embankment 947 Bridge Other/unknown 231 1,835 Assume that a collision will be randomly chosen from this population. a. What is the probability of a fatal collision with a pole or post? b. What is the probability of a fatal collision with a guardrail? c. What type of fixed object is least likely to be involved in a fatal collision? What is the probability associated with this type of fatal collision? d. What type of object is most likely to be involved in a fatal collision? What is the probability associated with this type of fatal collision?
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