All categories

3 years ago

Write the rule for this pattern 1, 2, 4, 7, 11

1 answer:

7 0

I'm not sure how to write the rule, but every time you add one more to the sum of the last two. First, you add 1, then 2, then 3. 1+1=2 2+2=4 4+3=7 7+4=11 and so on. I hope this helps!

You might be interested in

According to Harper's Index, 55% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates

Salsk061 [2.6K]

Answer:

a) $P(X\geq 11) = 0.198$

b) $P(X\leq 2) = 0.000565$

c) Mean = 8.8

Step-by-step explanation:

1) Previous concepts

Binomial Distribution is a "discrete probability distribution which is used to calculate the probabilities for the independent trials and for each trial there is only two outcomes success or failure and probability for each success remains constant throughout each trial".

The Binomial distribution is a type of Bernoulli experiment with following properties:

a)There are two possible outcomes; success or failure.

b) Outcomes are independent on preceding result of a trial.

c) The probability of success remains constant throughout the experiment.

d)The number of successes are fixed.

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

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

Where $p$ is the probability of success, n the number of trials and x the number of successes that we want on the n trials.

$X$ represent the number federal inmates that are serving time for drug dealing

$p=0.55$ represent the proportion of federal inmates that are serving time for drug dealing

$n=16$ random sample selected

2) Part a

The random variable X follows this distribution $X \sim Binom(n,p)$

On this case we want the following probability, and since says greater or equal than 11 we can express like this:

$P(X \geq 11)=P(X=11)+P(x=12)+P(x=13)+P(x=14)+P(x=15)+P(x=16)$

$P(X=11)=(16C11)(0.55)^{11} (1-0.55)^{5} =0.112$

$P(X=12)=(16C12)(0.55)^{12} (1-0.55)^{4} =0.0572$

$P(X=13)=(16C13)(0.55)^{13} (1-0.55)^{3} =0.0215$

$P(X=14)=(16C14)(0.55)^{14} (1-0.55)^{2} =0.00563$

$P(X=15)=(16C15)(0.55)^{15} (1-0.55)^{1} =0.000918$

$P(X=16)=(16C16)(0.55)^{16} (1-0.55)^{0} =0.00007011$

$P(X \geq 11)=0.112+0.0572+0.0215+0.00563+0.000918+0.00007011=0.198$

3) Part b

$P(X \leq 2)=P(X=0)+P(x=1)+P(x=2)$

$P(X=0)=(16C0)(0.55)^{0} (1-0.55)^{16} =0.00000283$

$P(X=1)=(16C1)(0.55)^{1} (1-0.55)^{15} =0.0000552$

$P(X=2)=(16C2)(0.55)^{2} (1-0.55)^{14} =0.000507$

$P(X \leq 2)=0.00000283+0.0000552+0.000507=0.000565$

4) Part c

The expected value for the binomial distribution is given by the following formula:

$E(X)=np=16*0.55=8.8$

So then the average number of federal inmates that are serving time for drug dealing on a sample of 16 is approximately 9.

5 0

3 years ago

I need helppppppppppppppppp

igomit [66]

You should Try 2/3 x 15/1

5 0

3 years ago

Read 2 more answers

Please find the: <br><br> 2/5 of 2/3

Tpy6a [65]

Answer:

4/15 is what I got :)

Step-by-step explanation:

2/ 5 * 2/ 3 = 2 · 2/ 5 · 3 = 4/ 15

sorry for the weird formatting but thats all brainly will take (:

5 0

3 years ago

In the equation y= -x/4, what is the unit rate?

maria [59]

The unit rate is -1/4.

8 0

3 years ago

How do i simplify 6(1-10p)-7

Fed [463]

Answer:

-60p-1

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers