When crossing the Golden Gate Bridge traveling into San Francisco, all drivers must pay a toll. Suppose the amount of time (inminutes) drivers wait in line to pay the toll follows an exponential distribution with a probability density function of f(x) = 0.2e-0.2xa. What is the mean waiting time that drivers face when entering San Francisco via the Golden Gate Bridge?Mean waiting timeb. What is the probability that a driver spends more than the average time to pay the toll? (Round intermediate calculations to at least4 decimal places and final answer to 4 decimal places.)Probability< Prey11 of 11Nexte here to searchUEKLDFGBaltctrn c. What is the probability that a driver spends more than 10 minutes to pay the toll? (Round intermediate calculations to at least 4decimal places and final answer to 4 decimal places.)Probabilityd. What is the probability that a driver spends between 4 and 6 minutes to pay the toll? (Round intermediate calculations to at least 4decimal places and final answer to 4 decimal places.)Probability< Prev11 of 11Nextnere to search$1&8YUETRDGDauseBMIaltctri

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Description: When crossing the Golden Gate Bridge traveling into San Francisco, all drivers must pay a toll. Suppose the amount of time (inminutes) drivers wait in line to pay the toll follows an exponential distribution with a probability density function of f(

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a. What is the mean waiting time that drivers face when entering San Francisco via the Golden Gate Bridge? Mean waiting time

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

When crossing the Golden Gate Bridge traveling into San Francisco, all drivers must pay a toll. Suppose the amount of time (in
minutes) drivers wait in line to pay the toll follows an exponential distribution with a probability density function of f(x) = 0.2e-0.2x
a. What is the mean waiting time that drivers face when entering San Francisco via the Golden Gate Bridge?
Mean waiting time
b. What is the probability that a driver spends more than the average time to pay the toll? (Round intermediate calculations to at least
4 decimal places and final answer to 4 decimal places.)
Probability
< Prey
11 of 11
Next
e here to search
U
E
K
L
D
F
G
B
alt
ctrn

c. What is the probability that a driver spends more than 10 minutes to pay the toll? (Round intermediate calculations to at least 4
decimal places and final answer to 4 decimal places.)
Probability
d. What is the probability that a driver spends between 4 and 6 minutes to pay the toll? (Round intermediate calculations to at least 4
decimal places and final answer to 4 decimal places.)
Probability
< Prev
11 of 11
Next
nere to search
$1
&
8
Y
U
ET
R
D
G
Dause
B
MI
alt
ctri

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