A child has 11 stuffed animals. How many ways can she choose 3 animals to take along with
2 answers:
Answer:
165 ways
Step-by-step explanation:
That notation is read "n choose m", and it indicates the number of ways one can choose m objects from a collection of n objects, if we don't care about "order".
So in your case we have
which in terms of a "factorial" notation is
11! / 3! × (11-3)!
11×10×9×8! / 3! × 8!
990 / 3
165
I've just assumed that you know what factorial means. If you don't, feel free to ask me.
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Answer:
(a) 0.20
(b) 31%
(c) 2.52 seconds
Step-by-step explanation:
The random variable <em>Y</em> models the amount of time the subject has to wait for the light to flash.
The density curve represents that of an Uniform distribution with parameters <em>a</em> = 1 and <em>b</em> = 5.
So,
(a)
The area under the density curve is always 1.
The length is 5 units.
Compute the height as follows:
Thus, the height of the density curve is 0.20.
(b)
Compute the value of P (Y > 3.75) as follows:
Thus, the light will flash more than 3.75 seconds after the subject clicks "Start" 31% of the times.
(c)
Compute the 38th percentile as follows:
Thus, the 38th percentile is 2.52 seconds.