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3 years ago

Help plz due in 6 mins

Mathematics

1 answer:

Brums [2.3K]3 years ago

6 0

Here what i got
3
12
48
192

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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

3 years ago

In 2013 Traci joined a swim club. The fees were £600 per year in 2013. Each year the fees increase by 6%. Calculate, to nearest

balandron [24]

Answer:

715 pounds

Step-by-step explanation:

FV = solve

PV = 600

I% = 6

K = 1, N = 3 (2013 - 2016 = 3 years)

Plug it in:

FV = 600 x [ 1 + (6/100 x 1)]³

= 600 x ( 1 + 0.06)³

= 600 x (1.06)³

FV = 714.61, 715 to the nearest dollar.

Therefore, the fee in 2016 is 715 pounds.

6 0

3 years ago

Can someone please help me with this (make sure it’s right)

Mekhanik [1.2K]

Step-by-step explanation:

$\tan \angle A = \frac{3}{6} \\ \\ \therefore \: \tan \angle A = 0.5 \\ \\ \therefore \: \angle A = { \tan}^{ - 1} 0.5 \\ \\ \therefore \: \angle A = { \tan}^{ - 1} 0.5 \\ \\ \therefore \: \angle A = { \tan}^{ - 1} tan(26.565051177 \degree) \\ \\ \therefore \: \angle A = 26.57 \degree$

7 0

3 years ago

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Most experts believe that young children’s not being

kipiarov [429]

(E) "the withholding of physical affection from young children interferes"

The mistake here is in the punctuation. The subject ("young...affection") and its verb are needlessly separated by a comma ("interferes"). Furthermore, the sentence's structure is complicated. Only E fixes these mistakes without introducing any new ones.

There is improper punctuation in Option (A). The subject ("young...affection") and its verb are needlessly separated by a comma ("interferes"). Uncertain pronoun references are present in Option (B). It's unclear to what the pronoun "it" refers.

The incorrect usage of a definite article is in Option (C). The words "the failure" implies that the failure has already been discussed, yet this is false. Choice (D) uses inappropriate wording. "Withholding" is a verb without a subject.

Here's another question with an answer similar to this about punctuations: brainly.com/question/12933782

#SPJ4

8 0

2 years ago

Find 48% of 30. Please help

baherus [9]

Answer:

14.4 would be the answer hope this is helpful

Step-by-step explanation:

14.4/30= 48%

4 0

3 years ago

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