Answer:
a)
b)
And we can use the complement rule and we got:
And replacing we got:
c)
d)
e)
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 using the probability mas function we got:
Part b
We want this probability:
And we can use the complement rule and we got:
And replacing we got:
Part c
We want this probability:
Part d
the expected value is given by:
Part e
The standard deviation is given by:
Answer:
1 13/20 -------> improper fraction 33/20
33/20 --------> decimal 1.65
1.65 ---------> multiply by 100 <u>165%</u>
Answer:
<u>Step-by-step explanation:</u>
Answer:
75%
Step-by-step explanation:
75% families spent $260.00 or less on electricity in August because 3 quartiles are below the point marking the $260.00 mark. Each quartile represents 25% of the data entries and if 3 quartiles are below $260.00, then 25 * 3 = 75% of the families spent $260.00 or less on electricity in August.