What is √52 to the nearest whole number
1 answer:
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<em>Complete Question:</em>
In a jar there are 19 red jelly beans and 10 green jelly beans. In how many ways can you pick 4 red jelly beans and the same number of green jelly beans?
Answer:
Step-by-step explanation:
Given
Red Jelly Beans = 19
Green = 10
Required
Select 4 out of 19 red jelly beans and 4 out of 10 green jelly beans
The keyword in the question is pick and this implies combination;
4 from 19 red jelly beans is calculated as follows
Where n = 19 and r = 4
Similarly;
4 from 10 green jelly beans is calculated as follows
Ways of selecting both is calculated as follows
Answer:
a)
b)
c)
And for this case we can use the result from part b
d) since the random variable just takes values between 0 and 5 we can use the complement rule like this:
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:
Part a
For this case our random variable X who represent the "number among the five who use the express checkout." follows
And we can find P(X=1) replacing on the mass function like this:
Part b
For this case assuming that we want to find this probability we can do this:
Part c
We can find replacing on the mass function like this, using the complement rule:
And for this case we can use the result from part b
Part d
Assuming that we want to find this probability:
since the random variable just takes values between 0 and 5 we can use the complement rule like this: