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2 years ago

Write an equation and solve.

Mathematics

1 answer:

Reil [10]2 years ago

4 0

My equation was (1230÷3) ×4 ×this is the multiplication sign

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In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p

skelet666 [1.2K]

Answer:

$\mathbf{P(X=5) =0.0888}$

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

$\mathtt{P(X=x) =(^{n}_{x} ) \ \pi^x \ (1-\pi)^{n-x}}$

$\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} ) \ \pi^x \ (1-\pi)^{n-x}}$

where;

n = 8 and π = 0.36

For x = 5

The probability $\mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} ) \ 0.36^5 \ (1-0.36)^{8-5}}$

$\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} ) \ 0.36^5 \ (0.64)^{3}}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =({8 \times 7 } ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =0.0887645}$

$\mathbf{P(X=5) =0.0888}$ to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5) $\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})$

${P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times (0.36)^0 \times (1-0.36)^8 \ ) + \dfrac{8!}{1!(7!)} \times (0.36)^1 \times (1-0.36)^7 \ +$ $\dfrac{8!}{2!(6!)} \times (0.36)^2 \times (1-0.36)^6 \ + \dfrac{8!}{3!(5!)} \times (0.36)^3 \times (1-0.36)^5 + \dfrac{8!}{4!(4!)} \times (0.36)^4 \times (1-0.36)^4 \ + \dfrac{8!}{5!(3!)} \times (0.36)^5 \times (1-0.36)^3 \ )$

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1 - P( x ≤ 5 )

P ( x ≥ 6) = 1 - 0.9707

P ( x ≥ 6) = 0.0293

4 0

2 years ago

Find a formula for the nth term of the sequence 1 -4 9 -16 25

ZanzabumX [31]

X² n = 1,2,3,4,5

1² = 1
2²= 4
3²= 9

5 0

3 years ago

Tiles with the letters A,B,C,D,E,F,G and H written on them are placed in a bag. Malik draws out on letter at random. Which state

dusya [7]

Using the probability concept, it is found that the correct statements are given as follows:

The number of possible outcomes is 8.

P(vowel)=1/4

P(vowel) + P(consonant) = 1.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

P(vowel) = 2/8 = 1/4.

P(consonant) = 6/8 = 3/4.

P(vowel) + P(consonant) = 1/4 + 3/4 = 1.

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

4 0

2 years ago

Solve using elimination. <br> 2x + y = 5<br> x - 3y = 6

Umnica [9.8K]

Answer:

then substitute y in eq 1 to get x

hope this helped you

Please mark as the brainliest (ㆁωㆁ)

3 0

2 years ago

The transversal is crossing two parallel lines. Find the value of x.

ira [324]

Answer:

x=32

Step-by-step explanation:

5x+20=180 can be used to solve this problem because those two angles are supplementary

5 0

2 years ago