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Juli2301 [7.4K]
3 years ago
15

I NEED HELP ASAP PLEASE! About what percentage of the data lies within 2 standard deviations of the mean in a normal distributio

n?
47.5%
68%
95%
99.7%
Mathematics
2 answers:
Ksivusya [100]3 years ago
5 0
I think the answer is the Third one
worty [1.4K]3 years ago
3 0

Answer:

c: 95%

Step-by-step explanation:

got it right on ed

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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
-8+9+5z+7x uses z=3 and x=5
forsale [732]
Just substitute their values into the expression:
= -8 + 9 + 5z + 7x
= -8 + 9 + 5(3) + 7(5)
= 1 + 15 + 35
= 51

In short, Your Answer would be 51

Hope this helps!
4 0
3 years ago
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Find the equation of the line
Fed [463]

Answer:

6,0 10,4

Step-by-step explanation:

find the y Axis and then the x Axis

5 0
3 years ago
Solve for x -6x-2≥16
pogonyaev

Answer:

D

x is less than or equal to -3

Step-by-step explanation:

I hope I was fast enough ^^

8 0
3 years ago
Read 2 more answers
Evaluate the function for an input value of 3. f (x) = -4x^2 – 3x – 5
Lina20 [59]

Answer:

  • -50

Step-by-step explanation:

<u>Function given:</u>

  • f(x) = -4x² – 3x – 5

Evaluate the function for an input value of 3

<u>Input value is x = 3, output value is:</u>

  • f(3) = -4(3²) – 3(3) – 5 = -4(9) - 9 - 5 = -36 - 14 = -50
  • f(3) = -50
3 0
3 years ago
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