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3 years ago

0.6 is 10 times as much as

1 answer:

5 0

0.6 is 10 times as much as 0.06.

All you need to do to find the answer is to divide 0.6 by 10:

0.6 / 10 = 0,06

I hope it will help you :)

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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

What is the slope of the line y=5-4x ? Show your work

garri49 [273]

Answer:

-4

Step-by-step explanation:

The equation is in slope-intercept format, y=mx+b. The coefficient in front of the x is the slope as represented by the letter m.

5 0

2 years ago

Read 2 more answers

PLEASEEEE HELPP!!!!!!

e-lub [12.9K]

Step-by-step explanation:

omg it 41.5 have a awnsome day

4 0

2 years ago

Help me on B plz cant work it out

Nookie1986 [14]

Answer:

1kg = 1000g

400g = 0,4 kg

0,4 - 1

1 - n

multiply diagonally

0,4*n = 1

n=10/4=2,5

1:2,5 is correct answer

Step-by-step explanation:

6 0

3 years ago

Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x^3 and y=9x about the x-axis

Lisa [10]

First solve x³=9x

$x^3-9x=0
\\x(x^2-9)=0
\\x(x-3)(x+3)=0
\\x=0, x=3,x=-3$

We can ignore x = -3 because it is not in the first quadrant.

So our integral is going to go from x=0 to x=3.

Now we can use the formula
 $V=\int_{a}^{b}\pi f(x)^2dx$
 $\int\limits_{0}^{3}(\pi (9x)^2-\pi(x^3)^2)dx
\\\int\limits_{0}^{3}(\pi (9x)^2-\pi(x^3)^2)dx
\\\pi\int\limits_{0}^{3}(81x^2-x^6)dx
\\2\times \int\limits_{0}^{3}[\pi(9x)^2-\pi(x^3)^2]dx
\\\pi\left[81\frac{x^3}{3}-\frac{x^7}{7}\right]_{0}^{3} \\ \\\frac{2916\pi}{7}$

7 0

2 years ago