A banana peel weighs 1/12 of the total weight of a banana. If an unpeeled banana balances a peeled banana of the same weight, p
2 answers:
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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.
Answer: $ 125987.80
Step-by-step explanation:
Given: The value, V(t) of $393,000 worth of assets after t years, that depreciate at 15% per year, is given by the formula
, here
is the initial asset value and b is the multiplicative decay factor.
The exponential decay function is given by ;-
, where A is the initial value , x is the times period and b is the multiplicative decay factor.
where b = 1-r, r is the rate of decay.
Since r = 15%=0.15
Therefore, b = 1-0.15=0.85
Now ,for 7 years , the value of assets is given by :-
Hence, the assets valued at after 7 years = $ 125987.80