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2 years ago

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Find the simplified form of the expression. Give your answer in scientific notation.

1 answer:

cricket20 [7]2 years ago

6 0

(450x(-450x I think

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nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

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:

$X \sim Binom(n=30, p=0.05)$

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:

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

Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

3 0

2 years ago

On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 106 and a standard deviatio

DENIUS [597]

Answer:

Step-by-step explanation:

N(106,14²)

(calculated using excel, let me know if you were supposed to use a normal table) = 0.4715

85.34

Q1:96.56

Q3:115.44

IQR (which is Q3-Q1)= 115.44-96.56= 18.88

5 0

1 year ago

A table of x and y values is shown. what is the ratio of y to x in the table?

galben [10]

Answer:

you didnt add a photo, we cant help you

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

IM TIMEDDD HELP!! Which shows a rational number plotted correctly on a number line?

IrinaVladis [17]

I guess the one with 2

6 0

2 years ago

Read 2 more answers

The population is a Midwest industrial town decreased from 224,000 to 221,000 in just 4 years. Assuming that this trend continue

valina [46]

Answer:

227750

Step-by-step explanation:

If we assume that the rate of increase in population is linear, then in 4 years the increase in population is (224000 - 221000) = 3000.

So, the rate of increase in population is $\frac{3000}{4} = 750$ persons per year.

Now, we have to calculate the population of the town after an additional 5 years.

So, the population in 5 years will increase by (750 × 5) = 3750

Therefore, the population after an additional 5 years will be (224000 + 3750) = 227750. (Answer)

7 0

3 years ago