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RideAnS [48]
3 years ago
5

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:

<em>FV = solve</em>

<em>PV = 600</em>

<em>I% = 6</em>

<em>K = 1, N = 3 </em>(2013 - 2016 = 3 years)

Plug it in:

<em>FV = 600 x [ 1 + (6/100 x 1)]³</em>

= 600 x ( 1 + 0.06)³

= 600 x (1.06)³

FV = 714.61, 715 to the nearest dollar.

<em>Therefore, the fee in 2016 is 715 pounds.</em>

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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