Answer:
Step-by-step explanation:
Pattern 1 consists of
small squares (here n = 1 and ).
Pattern 2 consists of
small squares (here n = 2 and ).
Pattern 3 consists of
small squares (here n = 3 and ).
Thus, pattern n consists of
small squares.
Answer:
the side length is 3.
Step-by-step explanation:
you would do 11/3 2/3
and you would get 3
Answer:
The answer is the last one: One runner in the study runs 31...
Step-by-step explanation:
31 is the input (x) and 81 is the output (y) and since there's 1 ordered pair per runner, it's going to be one runner, and the input is the miles ran.
Answer:
a)
And we can use the probability mass function and we got:
And adding we got:
b)
c)
And replacing we got:
d)
Step-by-step explanation:
Previous concepts
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".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
We want this probability:
And we can use the probability mass function and we got:
And adding we got:
Part b
We want this probability:
And using the probability mass function we got:
Part c
We want this probability:
We can use the complement rule and we got:
And replacing we got:
Part d
The expected value is given by:
And replacing we got: