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3 years ago

12

In 2001, the population of a village was 900. The annual rate of increase is 0.6%, which function below represents the populatio

n in p years?

1 answer:

Dafna1 [17]3 years ago

7 0

Answer:

y= 900(1.006)^p

Step-by-step explanation:

Given data

Population= 900

Rate of increase= 0.6%

Time= p years

Let the final Population be y

y= 900(1+0.006)^p

y= 900(1.006)^p

Hence the expression is y= 900(1.006)^p

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Answer:

$P(X=1)$

And using the probability mass function we got:

$P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396$

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

For this cae that one buggy whip would be defective is $p = \frac{5}{20}=0.25$

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=5, p=0.25)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X=1)$

And using the probability mass function we got:

$P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396$

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3 years ago