WILL GIVE BRAINLIEST PLEASE HELP!!!

Answer:

A) P(X ≥ 3 ) = 0.7648

B) P(X ≥ 6) = 0.7515

C) P(X < 5) = 0.0949

D) P(X < 6) = 0.00031113

Yes. This is likely to happen if the true value of p is 0.65

E) P(X ≥ 17) = 0.012118

No. This is unlikely to happen if the true value of p is 0.65

Step-by-step explanation:

Solving this question means we have to deal with binomial probability distribution which follows a formula;

P(X = x) = C(n, x) * p^(x) * (1 - p)^(n - x)

We are given p = 65% = 0.65

A) probability of getting At least 3 out of the 5 business days, we have;

P(X ≥ 3 ) = P(X = 3) + P(X = 4) + P(X = 5)

And n = 5

Thus;

P(X = 3) = C(5, 3) × 0.65³ × (1 - 0.65)^(5 - 3)

P(X = 3) = 0.3364

P(X = 4) = C(5, 4) × 0.65⁴ × (1 - 0.65)^(5 - 4)

P(X = 4) = 0.3124

P(X = 5) = C(5, 5) × 0.65^(5) × (1 - 0.65)^(5 - 5)

P(X = 5) = 0.116

Thus;

P(X ≥ 3 ) = 0.3364 + 0.3124 + 0.116

P(X ≥ 3 ) = 0.7648

B) Probability of getting at least 6 out of the 10 business days.

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

From online binomial calculator, we have;

P(X = 6) = 0.2377

P(X = 7) = 0.2522

P(X = 8) = 0.1757

P(X = 9) = 0.0725

P(X = 10) = 0.0134

P(X ≥ 6) = 0.2377 + 0.2522 + 0.1757 + 0.0725 + 0.0134

P(X ≥ 6) = 0.7515

C) probability of getting fewer than 5 out of the 10 business days.

P(X < 5) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 4) = 0.0689

P(X = 3) = 0.0212

P(X = 2) = 0.0043

P(X = 1) = 0.0005

P(X < 5) = 0.0689 + 0.0212 + 0.0043 + 0.0005

P(X < 5) = 0.0949

D)probability of getting fewer than 6 out of the next 20 business days;

P(X < 6) = P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 5) = 0.000261

P(X = 4) = 0.000044

P(X = 3) = 0.0000056

P(X = 2) = 0.0000005

P(X = 1) = 0.00000003

P(X < 6) = 0.000261 + 0.000044 + 0.0000056 + 0.0000005 + 0.00000003

P(X < 6) = 0.00031113

Yes, in this scenario, It is likely to happen and I would think p is less than 0.65 because probability is less than 1 out of 1000.

E) probability of getting more than 17 out of the next 20 business days.

P(X ≥ 17) = P(X = 18) + P(X = 19) + P(X = 20)

From online binomial calculator, we have;

P(X = 18) = 0.0099846

P(X = 19) = 0.00195187

P(X = 20) = 0.00018125

P(X ≥ 17) = 0.0099846 + 0.00195187 + 0.00018125

P(X ≥ 17) = 0.012118

Probability is around 12 in 100 and not up to 50%. Thus, This is unlikely to happen if the true value of p is 0.65

Answer:

20

Step-by-step explanation:

You have to fill in 6 slots _ _ _ _ _ _.

Since first digit must be 4, there is only 1 way to fill in the 1st slot.

with the 5 slots, we fill in the 6s first, 3 of them.

So we have 5 options and 3 items to fill, (5 choose 3).

Then 2 ways to fill 1 and 1 way to fill 5. (It doesn't matter if you pick 5 or 1 first).

So it becomes (5C3) * (2C1) *(1C1)

= 1 * 5!/(3!)(5-3)! * (2) * 1

= 20

Sorry, I'm going to need a more accurate question. How many kids are there in total?

Answer:

x=3

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

Answer:

145° I think

Step-by-step explanation:

the number sequence

Answer:

X = 4

y = 15

Step-by-step explanation:

I hope that is useful for you :)

Answer:

.....

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

To find f(#) or g(#), plug the number into each x of the equation.

f(x) = -x + 5

f(2) = -(2) + 5

Simplify the parentheses by multiplying.

f(2) = -2 + 5

Add.

f(2) = 3

g(x) = 3x + 2

g(2) = 3(2) + 2

Simplify the parentheses by multiplying.

g(2) = 6 + 2

Add.

g(2) = 8

Now they are asking you to multiply

f(2) • g(2)

3 • 8

= 24

Hope this helps!

Answer:

Step-by-step explanation:

depth = 1⅔ = 5/3 in

length = 2⅓ = 7/3 in

width = 2 in

volume = (5/3)(7/3)(2) = 70/9 = 6 7/9 in³

Answer:

45/58 it is already in simplest form

Step-by-step explanation:

Answer:

1 17/40

Step-by-step explanation:

[tex]\frac{5}{8} + \frac{4}{5} \\[/tex]

Find the common denominator, which is 40

so then 5/8 = 25/40 and 4/5 = 32/40

[tex]\frac{25}{40} + \frac{32}{40} = \frac{57}{40} = 1 \frac{17}{40}[/tex]

Answer:

6(5·7)

Step-by-step explanation:

Given function:

what distributive property is:

Factoring out the greatest common factor:

Rewrite the expression using parentheses:

Therefore, with using distributive property, we can change the expression 30+42 into 6(5·7).

answer:

6(5+7)

step by step eqaution:

6(5+7)

Answer:

its cap

Step-by-step explanation:

Answer:

66in²

Step-by-step explanation:

If we assume the rectangle is made out of two identical trapezoids, as the question suggests, well then we know that the length of the triangle is equal to the sum of the length of the top and the bottom of the trapezoid:

Length(rectangle)=3+8=11

Width(rectangle)=6

Area(Rectangle)=length*width=11*6=66in²

Answer:

30

Step-by-step explanation:

it counting by 2s but backwards

Answer:

20

Step-by-step explanation:

subtract by 2

jajakkalalallalalslsl [ignore this]

Answer:

pi = 3.141592653589793238462643

Step-by-step explanation:

that's how we came up with pi simply being 3.14 and why pi day is 3/14 every year

Answer:

625•5x

jajssjskdnkwwnso

Answer:

The answer is 210

Step-by-step explanation:

So arc HL is equal to  180 because angle G is equal to 180

Arc KL is equal to 30

30+180=210

so 210 is your answer

Answer:

3cm + 3cm+ 14/3cm + 14/3cm = base

Step-by-step explanation:

^^

Good luck!

5/8 of the total has been sold, so we just do 64*5/8=40 houses that had been sold this year. Hope this helped!

Answer:

y=x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-2)/(-2-1)

m=-3/-3

m=1

y-y1=m(x-x1)

y-2=1(x-1)

y-2=x-1

y=x-1+2

y=x+1

Answer:

180 degrees

Step-by-step explanation:

FH is half the circle, so it has to be 180 degrees.

I think all that other stuff is to confuse you or use it for a different problem.

Answer:

70 dollars

Step-by-step explanation: -

x = 6

Explanation:

use the pythagorean theorem which is a^2 + b^2 = c^2. 8 goes in either the a or b position and 10 is the longest side so it will go in the c position.

Answer:

the answer is 38 cm

Step-by-step explanation:

10+6+(6x3)+4=38 the 2 missing numbers are 2cm and 3cm

Answer:

not equivalent.

Step-by-step explanation:

Answer:

3

Step-by-step explanation: