Match each expression with an equivalent expression.
1 answer:
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Answer:
Option A
Annette picked 50 roses from the garden
Step-by-step explanation:
Let us understand the problem, designating letters to represent unknown quantities.
Let the total number of roses = x
20% of the roses were red means that 20% of x = red
Since the number of red roses = 10,
we will have that 20% of x = 10
mathematically, we will have
hence, Annette picked 50 roses from the garden
Answer:
a)
b)
c)
d)
e)
Step-by-step explanation:
1) 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".
2) 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:
3) Part a
4) Part b
5) Part c
6) Part d
The expected value is:
7) Part e
The variance is given by: