The Boston Celtics have won 16 NBA championships over approximately 50 years. Thus is may seemreasonable to to assume that in a given year the Celtics win the title with probability p = 16=50 = 0:32,independent of any other year. Given such a model, what would be the probability of the Celtics winningeight straight championships

Answers

Answer 1

Answer:

0.0001 = 0.01% probability of the Celtics winning eight straight championships.

Step-by-step explanation:

For each year, there are only two possible outcomes. Either the Celtics are the champions, or they are not. Each year is independent of other years. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

What would be the probability of the Celtics winning eight straight championships?

Each year, we have that [tex]p = 0.32[/tex]

Eight straight championships: [tex]P(X = 8)[/tex] when n = 8. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{8,8}.(0.32)^{8}.(0.68)^{0} = 0.0001[/tex]

0.0001 = 0.01% probability of the Celtics winning eight straight championships.


Related Questions

This year, Faaria's car is worth 22,000. If the value of Faaria's car decreases by 8%, what will her car be worth next year?

Answers

Your answer would be 20,240$ because 22,000 multiplied by .92 = the number fist stated

I WILL MARK BRAINLIEST

Answers

c is the correct answer

solve for x, will give brainliest

Answers

Answer:

123 degrees

Step-by-step explanation:

Use the area model to write a fraction equivalent to
1/5

Answers

A fraction equivalent to 1/5 could be 2/10

Solve the following system of equations:
2x - 3y = -1
y = x - 1

A. (4, 3) B. (-2, -3)
C. (-4, -5) D. (2, 1)

Answers

Answer:

A.(4,3)

Step-by-step explanation:

hope this help:)

Answer: A(4,3)

2x-3(x-1)=-1

x=4

y=4-1

y=3

If you answer this question correctly I will answer 1 of your questions
Evaluate the expression 10−5a+(18−b), where a=2 and b=11.


Which THREE expressions will have the same value?


28÷(a×2)


20+b−(4×a)


49−43+(a÷a)


30−25+(b−9)


50÷a−(b+20)

Answers

We can start by solving for 10-5a+(18-b). By plugging in a and b, we get

10 - 10 + (18 - 11)= 7

28 ÷ (a × 2) = 28/4 = 7

20 + b − (4 × a) = 31 - 8 = 23

49 − 43 + (a ÷ a) = 49 - 43 + 1 = 7

30 − 25 + (b − 9) = 5 + 2 = 7

50 ÷ a − (b + 20) = 25 - 31 = -6

So, 28 ÷ (a × 2), 49 − 43 + (a ÷ a), and 30 − 25 + (b − 9) will all have the same answer as 10−5a+(18−b)

What is greater 5 cm or 2 in

Answers

2 inches? kind of question-
2in is longer because if you convert it into cm it would be 5.08cm.

Find the product of 3/5x15

Answers

The answer for this is 9
Answer : 45/4 ( in decimal: 11.25)

First five terms?

a(1) = 7, a(n) = a(n - 1) - 3 for n ≥ 2

Answers

Answer:  7, 4, 1, -2, -5

=========================================================

Explanation:

The notation a(1) = 7 means that the first term is 7

The second term would be a(2) and so on.

To get a(2), we plug in n = 2 to find that...

a(n) = a(n-1) - 3

a(2) = a(2-1) - 3

a(2) = a(1) - 3

a(2) = 7 - 3

a(2) = 4

The second term is 4. We find this by subtracting 3 from the first term.

To get the third term, we repeat the same set of steps but now use n = 3

a(n) = a(n-1) - 3

a(3) = a(3-1) - 3

a(3) = a(2) - 3

a(3) = 4 - 3

a(3) = 1

This process is repeated as much as you want to generate as many terms as you want.

In short, you subtract 3 from each term to get the next term. This implies that we have an arithmetic sequence with starting term 7 and common difference -3.

So that's how we end up with the first five terms: 7, 4, 1, -2, -5

HELP FAST PLS ILL LOVE U FOREVER <3 Angle ABC is 47 degrees. What is the the measure of angle CBD?

Answers

Answer:

43

Step-by-step explanation:

we know that ABC and CBD need to add up to 90 so we have

47+CBD=90

CBD=43

Answer:43Step-by-step explanation: if angle ABD is 90 degrees, and abc+cbd=ABD then ABD-ABC=CBD 90-47=CBD which is 43

There are 150 trees in the park. Elm trees represent 40% of the trees in the park.


How many elm trees are in the park?

Answers

Answer:

375 trees, hope this help!

There are 60 Elm trees in the part

We are trying to find the part, which is the number of Elm trees given the percent of the Elm trees and the total amount of trees.

Part = Percent × Whole

Let x be the part

x = percent × whole

x = 0.40 × 150        (with changing the percent by dividing it by 100)

x = 60

Pat and Mike purchased a radio for $88. Pat paid $17 more than Mike. How much did
each pay?

Answers

Answer:

35.50(Mike )

52.50(Pat)

Step-by-step explanation:

88-17=71

71÷2=35.50(Mike )

35.50+17=52.50(Pat)

what is the volume and surface area?

Answers

Answer:

I think its 10 mi

Step-by-step explanation:

Please let me know if I'm wrong!

I think it’s 10mi to

Determine whether S equals 3/5, S equals zero or S equals 1.75 are solutions of the inequality

Problem: S < 0.43

Answers

S= 3/5 is a solution because it is less than .43, s=1.75 isn’t a solution

SON 17-2 PRACTICE
11. Make use of structure. Point R lies along the directed line segment
from Y(-1,-4) to X(7,6) and partitions the segment into the ratio 1 to 4,
What is the slope of YX, and how does this slope compare to the slope
of YR?

Answers

Answer: they are the same!

Think about this, if R lies on segment YX then the slope of YX and YR is the same, it doesn't matter where R is on the line (I hope I understood the question right if I didn't I'm sorry!)

Beth eats 2300 calories per day. She eats 600 calories at breakfast and 1.5 times at lunch. If she eats three meals with not snacks, which meal contains the most calories

Answers

Lunch

Step-by-step explanation:

she eats 900 cals at lunch, but at dinner she has 800 and breakfast she has 600. 900 is the most cals so lunch is the meal with the most calories.

help me with this please

Answers

The answer is 18

You want to substitute in the values for everything so z = 6 y = 4 and x = 2

So when you substitute it into the equation you get 4(2) + 4^2 -6

When simplified your get 8+16-6

When solved equals 18

Answer:

18

Step-by-step explanation:

We're given an expression and information about the values of the variables in it. The problem says that  x = 2, y = 4, z = 6. Thus, to evaluate the expression, substitute those values for the matching variables within the expression and solve:

[tex]4x+y^2-z\\= 4(2)+(4)^2-(6)\\= 8 + 16 - 6 \\= 24 - 6\\= 18[/tex]

So, the answer is 18.

Zachary went to the store to buy some walnuts. The price per pound of the walnuts is
$5.25 per pound and he has a coupon for $3.25 off the final amount. With the
coupon, how much would Zachary have to pay to buy 3 pounds of walnuts? Also,
write an expression for the cost to buy p pounds of walnuts, assuming at least one pound is purchased.

Cost of 3pounds:

Cost of p Pounds:

Answers

The answer is 12.50 and equation is y=5.25p -3.25

help its really urgent

Answers

Answer:

QR and WX are parallel lines. XV and ST or congruent lines. ST, QR, VR, XS, are lines perpendicular to RS.

Step-by-step explanation:

Its self explanatory  (just kidding dont know how to explain)

Can someone please help me with this

Answers

Answer:

7

Step-by-step explanation:

Multiply -8 and -3 and that would be 24 and you put that over 1 and then you have to have a common denominator which would be 4 and multiply that by 24 and you get 96 and then you would do 96 - 68 and you get 28 you don't subtract the denominator you just leave it and then it would be 28 over 4 and then you divide that to get 7.

Evaluate: 4+8\div2\times \left(6-3\right)
18
25
16
33

Answers

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex]4+8\div \:2\times \left(6-3\right) =4+8\div \:2\times \:3 =4+12 =16[/tex]

Hope I helped you!Success!

by a romanian guy...

habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360

¿Con cuánto debe cooperar cada comunidad?

¿Cuál es la aportación por persona en las tres comunidades?​

Answers

Answer:

La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.

Step-by-step explanation:

Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:

120 + 240 + 360 = 720

C = 1/2 x 360,000 = 180,000

B = 1/3 x 360,000 = 120,000

A = 1/6 x 360,000 = 60,000

Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.

A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:

360,000 / 720 = 500

Así, cada comunidad aportará $500 por persona.

Don’t mind the check mark

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

when moving things over the equation sign, you must switch the sign (positive or negative) they didn't switch it

please help please i really need help

Answers

Answer:

78

Step-by-step explanation:

help me with mine pls your smart

Find the value of X round to the nearest 10th

Answers

Answer: 22.1°

Step-by-step explanation:

Applying law of sines, we have:

8² = 19² + 14² - 2*14*19 * Cos(x)

64 = 557 - 532*cos(x)

64 - 557 = -532*cos(x)

-493 = -532*cos(x)

Divide both sides by -532

-493/-532 = cos x

0.926691729 = cos x

x = cos^-1(0.926691729)

x = 22.1° (nearest tenth)

what number is 71% of 145​

Answers

Answer:

102.95

Step-by-step explanation:

63: 15 = __:__
a) 10.5 : 7.5
b) 21:5
c) 20:5
d 1:2

Answers

Answer:

21:5 is the right answer

Please helpppppppp:(((((((((((((((((((

Answers

Answer:

The area is 243 square feet

Step-by-step explanation:

The perimeter of a rectangle is the sum of all four sides.

Two of the sides represent the length and two represent the width.

Given what we know and using l to represent the length and w to represent the width.

l + l + w + w = 72ft

or more concisely

2l + 2w = 72ft

The four sides all add together to equal 72ft

We also know that

l = 3w

This says the length is equal to 3 times the width

we have two unknowns, l and w, and now we have two related equations so we can solve for l and w.

The first thing we will do is replace l with 3w in the first equation because the second equation tells us that l is the same as 3w. Making the replacement gives us

2(3w) + 2w = 72ft

2 times 3w is 6w

6w + 2w = 72ft

6w plus 2w is 8w

8w = 72ft

Now if we divide both sides by 8 we maintain the equality since we are making the same change to both sides

8w / 8 = 72ft / 8

8w divided by 8 is 1w or just w and 72ft divided by 8 is 9ft

w = 9ft

So now we know the width is 9ft

if we now replace w with 9 in one of our original equations we can solve for l, let's use l = 3w

l = 3(9ft)

3 times 9 is 27 so

l = 27ft

So the length is 27ft which is 3 times the width of 9ft

The area of a rectangle is length times width or l x w, so

area = 27ft x 9ft

area = 243sqft

ft means feet and sqft means square feet

(Click the picture)
1/6 of 12
1/6 of 24
1/6 of 36
1/6 of 48
1/6 of 0

Answers

Hey, sorry about the guy that gave you a complete joke answer. I got you brother.

In order, the answers are 2, 4, 6, 8, and 0

Which expression is equivalent to 20 + 5 X 9

Answers

POINTS STEP BY STEP
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