an arctic village skiing trail has a radius of 1 kilometer. a skier started at the position (1,0) on the coordinate axes and ski
1 answer:
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Answer: Volume of the cylinder =
Step-by-step explanation:
Volume of cylinder = Area of base x height
Also, area of cross section = Area of base
Volume of cylinder = area of cross section x height
Given: Area of cross section =
height = 8 cm
Volume of cylinder = 614 x 8
Hence, the volume of the cylinder =
Answer:
a)
b)
And we can use the following excel code: "=1-BINOM.DIST(17;25,0.6,TRUE)"
And we got:
c)
And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"
And we got:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
Solution to the problem
Part a
Part b
For this case we want this probability:
And we can use the following excel code: "=1-BINOM.DIST(17,25,0.6,TRUE)"
And we got:
Part c
For this case we want this probability:
And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"
And we got: