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2 years ago

12

Select the correct answer.

1 answer:

Nookie1986 [14]2 years ago

8 0

Answer:

f(1)=34 ; f(n)= f(n-1) +6, for n >2

Step-by-step explanation:

arithmetic sequence

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Some parts of California are particularly earthquake-prone.

Lyrx [107]

Answer:

a) $P(X=0)=(4C0)(0.27)^0 (1-0.27)^{4-0}=0.283982$

$P(X=1)=(4C1)(0.27)^4 (1-0.27)^{4-1}=0.420138$

$P(X=2)=(4C2)(0.27)^5 (1-0.27)^{4-2}=0.23309$

$P(X=3)=(4C3)(0.27)^3 (1-0.27)^{4-3}=0.057474$

$P(X=4)=(4C4)(0.27)^4 (1-0.27)^{4-4}=0.05314$

b) For this case the value with the higher probability is X=1, so then would be the most likely value.

c) $P(X \leq 1) = P(X=0) +P(X=1) = 0.283982+0.420138=0.704121 \approx 0.7041$

d) $P(X \leq 2) =1-{(X$

e) For this case the expected value is given by:

$E(X) = \mu = np= 4*0.27= 1.08$

The variance is given by:

$\sigma^2 = Var(X) = np(1-p) =4*0.27*(1-0.27)= 0.7884$

And the deviation is:

$Sd(X) = \sigma = \sqrt{0.7884}=0.89$

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:

$X \sim Binom(n=4, p=0.27)$

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:

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

Part a

$P(X=0)=(4C0)(0.27)^0 (1-0.27)^{4-0}=0.283982$

$P(X=1)=(4C1)(0.27)^4 (1-0.27)^{4-1}=0.420138$

$P(X=2)=(4C2)(0.27)^5 (1-0.27)^{4-2}=0.23309$

$P(X=3)=(4C3)(0.27)^3 (1-0.27)^{4-3}=0.057474$

$P(X=4)=(4C4)(0.27)^4 (1-0.27)^{4-4}=0.05314$

Part b

For this case the value with the higher probability is X=1, so then would be the most likely value.

Part c

For this case we want this probability:

$P(X \leq 1)$

And we can find this probability like this:

$P(X \leq 1) = P(X=0) +P(X=1) = 0.283982+0.420138=0.704121 \approx 0.7041$

Part d

For this case we want this probability:

$P(X \leq 2)$

And we can find this probability using the complement rule like this:

$P(X \leq 2) =1-{(X$

Part e

For this case the expected value is given by:

$E(X) = \mu = np= 4*0.27= 1.08$

The variance is given by:

$\sigma^2 = Var(X) = np(1-p) =4*0.27*(1-0.27)= 0.7884$

And the deviation is:

$Sd(X) = \sigma = \sqrt{0.7884}=0.89$

6 0

3 years ago

Which is steeper: a line with a slope of 2/5 or a line of 5/2? How do you know? Explain.

ELEN [110]

5/2 because 5/2 is greater than 1, an improper fraction that does not take a piece of 1 but rather considers whole numbers as that origin

3 0

3 years ago

What is four points fewer than the bulls scored write in a algebraic expression

Elena-2011 [213]

B - 4 where B is the variable representing the Bulls score

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3 years ago

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If 3n=3a-6,which inequality below will make n a positive number?

kicyunya [14]

If 3n=3a-6 than the answer is B

6 0

3 years ago

A salesman earns 30% commission on the merchandise that he sells last month he sold $600 worth of merchandise how much of commis

romanna [79]

Answer:

$180

Step-by-step explanation:

.3 * 600

5 0

2 years ago

Read 2 more answers