Question
In: Statistics and Probability
you have three routes to get to work in the morning time is a random variable...
you have
three routes to get to work in the morning time is a random variable that follows has the following density function: f (x) = k / x ^ 4, x> 15
e) Calculate the expected value and the variance of time.
f) What is the time exceeded only for 10% of the days?
Solutions
orchestra answered 1 year agoRelated Solutions
you have three routes to get to work in the morning time is a random variable...
you have three routes to get to work in the morning time is a
random variable that follows has the following density function: f
(x) = k / x ^ 4, x> 15
a) Find the appropriate value for the constant k and graph the
density function.
b) Find and graph the cumulative probability function.
c) Calculate the probability of arriving in less than 25
minutes.
d) What is the probability of arriving in exactly 25
minutes?
e) Calculate the...
Every morning Mary randomly decides on one of three possible ways to get to work. She...
Every morning Mary randomly decides on one of three possible
ways to get to work. She makes her choice so that all three choices
are equally likely. The three choices are described as follows: •
Choice A (Drives the highway): The highway has no traffic lights
but has the possibility of accidents. The number of accidents on
the highway for the hour preceding Mary’s trip, X, follows a
Poisson distribution with an average of 2. The time (minutes) it
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Recall that for a random variable to be a binomial random variable, you must have an...
Recall that for a random variable to be a binomial random
variable, you must have an experiment which meets the following
three criteria:
1: There are exactly two outcomes for each trial.
2: There are a fixed number (n) of trials.
3: The trials are independent, and there is a fixed probability of
success (p) and failure (q) for each trial.
For each of the two situations described below, please indicate
if the variable X (as defined in each situation)...
Your driving time to work (continuous random variable) is between 27 and 69 minutes if the day...
Your driving time to work (continuous random
variable) is between 27 and 69 minutes if the day is sunny, and
between 47 and 87 minutes if the day is rainy, with a uniform
probability density function in the given range in each
case.
Assume that a day is sunny with probability =
0.83 and rainy with probability .
Your distance to work is = 50 kilometers.
Let be your average speed for the drive to work,
measured in kilometers per minute:
Compute the value...
Your driving time to work T (continuous random variable) is between 22 and 64 minutes if...
Your driving time to work T (continuous random variable) is
between 22 and 64 minutes if the day is sunny, and between 41 and
86 minutes if the day is rainy, with a uniform probability density
function in the given range in each case. Assume that a day is
sunny with probability p subscript s = 0.41 and rainy with
probability p subscript r equals 1 minus p subscript s. Your
distance to work is X = 60 kilometers. Let...
Your driving time to work T (continuous random variable) is between 24 and 66 minutes if...
Your driving time to work T (continuous random variable)
is between 24 and 66 minutes if the day is sunny, and between 49
and 82 minutes if the day is rainy, with a uniform probability
density function in the given range in each case.
Assume that a day is sunny with probability Ps = 0.64
and rainy with probability Pr = 1 -Ps.
Your distance to work is X = 50 kilometers. Let V be
your average speed for the...
Three different traffic routes are tested for mean driving time. The entries in the table are...
Three different traffic routes are tested for mean driving time.
The entries in the table are the driving times in minutes on the
three different routes. At the 0.05 level of significance, are the
mean driving times similar regardless of routes?
Route 1: 30, 32, 27, 35
Route 2: 27, 29, 28, 36
Route 3: 16, 41, 22, 31
What statistical test
are you going to run?
What is the null hypothesis?
What is the alternative hypothesis?
What is test...
three different traffic routes are tested for mean driving time. the entries in the table below...
three different traffic routes are tested for mean driving time.
the entries in the table below are the driving times in minutes on
the three different routes. use an ANOVA to test the hypothesis.
Route 1: 30, 32, 27, 35 Route 2: 27, 29, 28, 36 Route 3: 16, 41,
22, 31 1) find the numerator degrees of freedom 2) find the
denominator degrees of freedom 3) find SS factor 4) find ss total
5) find the F statistic
The random variable X milliseconds is the total access time (waiting time + reading time) to...
The random variable X milliseconds is the total access time
(waiting time + reading time) to obtain a block of information from
a computer disk. X is evenly distributed between 0 and 12
milliseconds. Before making a determined task, the computer must
access 12 different information blocks from the disk. (The access
times for different blocks are independent one of the other.) The
total access time for all information is a random variable A
milliseconds.
(1) What is the E...
How do you get from Power = work/time to Power = v^2/r ?
How
do you get from Power = work/time to Power = v^2/r ?
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