Pablo is going for a walk. He takes 5 hours to walk 12.5 miles. What is his speed?
2 answers:
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Answer:
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the number of passengers who arrive at the platform of a population, and for this case we know the following info
Where and
We are interested on this probability
For this case we can assume that the random variable is normally distributed.
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Answer:
a. X is a binomial random variable with n = 50 and p = 0.04
b. Y is a binomial random variable with n = 40 and p = 0.015
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
X: the number of US residents (out of 50) with blood type AB.
Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States
This means that
Y: the number of Australians (out of 40) with blood type AB.
In Australia, only 1.5% of the population has blood type AB.
This means that
Z: the total number of individuals (out of 90) with blood type AB.
Here
Which of the following is true about the random variables X, Y, and Z?
Options a and b are true, while c is false.
Hello!
You use the Pythagorean theorem to solve this
Put in the values it tells you to
Square the numbers
Subtract 19.36 from both sides
Take the square root of both sides
a = 3.3
The answer is 3.3
Hope this helps!
You use the Pythagorean theorem to solve this
Put in the values it tells you to
Square the numbers
Subtract 19.36 from both sides
Take the square root of both sides
a = 3.3
The answer is 3.3
Hope this helps!