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crimeas [40]
2 years ago
11

Discrete or Continuous? Identify the random variables in Exercises 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11 as either discrete or cont

inuous. Total number of points scored in a football game
Mathematics
1 answer:
lions [1.4K]2 years ago
8 0

Answer:

Discrete variable        

Step-by-step explanation:

We are given the following in the question:

Variable:

Total number of points scored in a football game

Discrete and continuous data:

  • Discrete data is the data that can be expressed in whole numbers. They cannot take all the values within an interval.
  • Discrete variables are usually counted and not measured.
  • Continuous variable can be expressed in fractions and can take any value within an interval.
  • Continuous variable are usually measured and not counted.

Since, total number of points score in a foot game are expressed in whole numbers and cannot be expressed in decimals, they are discrete variable. They cannot take all the values within an interval and they are usually counted.

Thus,

Total number of points scored in a football game is a discrete variable.

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Ikeoluwa collected data on whether 656565 professional golfers have practiced for at least 10{,}00010,00010, comma, 000 hours in
vazorg [7]

Answer:

<em>Table shown in the image below</em>

Step-by-step explanation:

<u>Venn Diagram </u>

It's a graphic representation of the elements who belong or not to different sets. In a two-set diagram (A and B), four zones are highlighted: Elements belonging to A alone, to B alone, to both of them, and to none of them. There are many other possible logic combinations to show relationships between the elements.

In the Venn Diagram shown in the question, we can see:

  • 14 golfers have practiced for at least 10,000 hours but haven't won a major championship
  • 8 golfers have won a major championship but haven't practiced for at least 10,000 hours
  • 37 golfers have won a major championship AND have practiced for at least 10,000 hours
  • 6 golfers haven't done any of the above.

We need to complete the two-way frequency table with the following requirements for each cell where both conditions cross

  • How many golfers have won a major championship AND have practiced for at least 10,000 hours? The answer has been already found in our analysis of the Venn Diagram: 37 golfers
  • How many golfers have NOT won a major championship AND have practiced for at least 10,000 hours? We need to look outside the red circle but inside the blue circle. The answer has also been answered by looking directly to the diagram: 14 golfers
  • How many golfers have won a major championship AND have NOT practiced for at least 10,000 hours? We must look outside of the blue circle but inside the red circle. The answer has also been answered by looking directly to the diagram: 8 golfers
  • How many golfers have NOT won a major championship AND have NOT practiced for at least 10,000 hours? We must look outside of the blue circle and outside of the red circle. The answer is also found by looking directly to the diagram: 6 golfers

4 0
2 years ago
Below is the number of years that each of the nine Omar's Omelette Operation locations have been open.
soldi70 [24.7K]

Answer:

Step-by-step explanation:

hope this helps!

8 0
1 year ago
Write (9m) ^4 without exponents.
Rainbow [258]

A value raised by an exponent is the same as that value being multiplied by itself the number of times the exponent is.

(9m)^4 means 9m is multiplied by itself 4 times:

It can be written as: (9m)(9m)(9m)(9m)

8 0
2 years ago
Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨2,−3,4⟩, b=⟨−4,5,−1⟩, and c=⟨−2,−1,5⟩.
NikAS [45]

Answer:

derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )

Step-by-step explanation:

given data:

vector function : r(t) = ta*(b+tc)

a = ( 2,-3.4) .   b = (-4,5,-1).  c = ( -2,-1,5)

to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution

7 0
1 year ago
A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 50%
IRISSAK [1]

Answer:

a) 0.9

b) Mean = 1.58

Standard Deviation = 0.89

Step-by-step explanation:

We are given the following in the question:

A marketing firm is considering making up to three new hires.

Let X be the variable describing the number of hiring in the company.

Thus, x can take values 0,1 ,2 and 3.

P(x\geq 2) = 50\%= 0.5\\P(x = 0) = 10\% = 0.1\\P(x = 3) = 18\% = 0.18

a) P(firm will make at least one hire)

P(x\geq 2) = P(x=2) + P(x=3)\\0.5 = P(x=2) + 0.18\\ P(x=2) = 0.32

Also,

P(x= 0) +P(x= 1) + P(x= 2) + P(x= 3) = 1\\ 0.1 + P(x= 1) + 0.32 + 0.18 = 1\\ P(x= 1) = 1- (0.1+0.32+0.18) = 0.4

\text{P(firm will make at least one hire)}\\= P(x\geq 1)\\=P(x=1) + P(x=2) + P(x=3)\\ = 0.4 + 0.32 + 0.18 = 0.9

b) expected value and the standard deviation of the number of hires.

E(X) = \displaystyle\sum x_iP(x_i)\\=0(0.1) + 1(0.4) + 2(0.32)+3(0.18) = 1.58

E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89

7 0
2 years ago
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