Last year, Tim rode his bike a total of 50 3/8 miles. This year, he rode his bike a total of 258 3/4 miles. Which of the followi
1 answer:
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Answer:
Step-by-step explanation:
Given
Required
Determine the percentage change
Percentage change is calculated as;
<em>Hence, the percentage change is approximately 8.8%</em>
Answer:
a)
b)
c)
d)
And the dsitribution that satisfy this is
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".
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
Part b
The expected value is givn by:
Part c
For the standard deviation we have this:
Part d
For this case the sample size needs to be higher or equal to 9. Since we need a value such that:
And the dsitribution that satisfy this is
We can verify this using the following code:
"=1-BINOM.DIST(3,9,0.75,TRUE)" and we got 0.99 and the condition is satisfied.