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dezoksy [38]
3 years ago
12

The boston celtics have won 16 nba championships over approximately 50 years. Thus it may seem reasonable to assume that in a gi

ven 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 winning eight straight championships beginning in 1959?
Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

We have been given that The boston celtics have won 16 nba championships over approximately 50 years. Therefore, it can be concluded that in any given year the probability of celtics winning the title will be p = 16/50 = 0.32

For Celtics to win eight straight championships in 1959, we will be required to multiply the probability of winning championship in one year to itself 8 times.

Therefore, the required probability is:

0.32^{8}=0.0001099511627776

Therefore, the required probability is almost 0.00011.

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A store is selling 5 cans of tomato sauce for 4.50 what is the unit price
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The unit price is 90 cents per can of tomato sauce.
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C=38.52+0.50x<br> What is x
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The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operat
vesna_86 [32]

The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

According to the statement

we have given that the duration of the trip is 2 hours and 15 minutes. And we have to how much standard deviation be reduced to increase the operational efficiency.

So, For this purpose, we know that the

Let X be the time taken to reach the resort. Then it is  given that the

N (μ , σ).

Here μ is 2 hours then

μ  = 2*60 = 120 minutes.

And

Let σ be the reduced standard deviation such that new distributions becomes N (μ , σ)

Then P ( x <135)

here 135 is the minute format of 2 hours and 15 min.

So,

P ( x <135) = 0.95

And

P [ (x -120 / σ) < (135 -120 / σ)] = 0.95

P [ Z < ( 15 / σ)] = 0.95

And after solving it the

σ = 9.22 min.

i.e. 12 - 9.22 = 2.88 min.

So, The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

Learn more about Standard deviation here

brainly.com/question/475676

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation 12 minutes. The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operational efficiency by reducing the standard deviation so that they are on time 95% of the time. How much do they have to reduce the standard deviation

#SPJ4

5 0
1 year ago
The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It costs the
Neporo4naja [7]

Answer:

(40,35)

Step-by-step explanation:

Well we can immediacy eliminate 2 options for ow becuase if you add them up they don’t equal 75 and in the equation it asked for x+y=75.

Now we just test out each x and y possibility

We know 5x+3 > 300

So lets try the first one

30 is x

45 is Y

5*30=150

45*3=135

Now if you add them

285

285 is not greater than 300 so thats wrong

SO B is correct

But lets check just in case

5*40=200

3*35= 105

305 IS greater than 300

305 > 300

SO B is correct

The point (40,35)

4 0
3 years ago
What is the HCF of 48 &amp; 72​
Masja [62]

Step-by-step explanation:

Factors of 72

= 2 x 36

= 2 x 2 x 18

= 2 x 2 x 2 x 9

= 2 x 2 x 2 x 3 x 3

Factors of 48

= 2 x 24

= 2 x 2 x 12

= 2 x 2 x 2 x 6

= 2 x 2 x 2 x 2 x 3

Common Factors = 2 x 2 x 2 x 3

HCF = 24

Ans : 24

I hope It's helpful!!

4 0
2 years ago
Read 2 more answers
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