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Tom [10]
3 years ago
7

Divide a quantity into two parts in a given ratio.

Mathematics
1 answer:
True [87]3 years ago
3 0
You would just divide that quantity by 2.
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Do you tailgate the car in front of you? About 35% of all drivers will tailgate before passing, thinking they can make the car i
Vesna [10]

Answer:

(a) The histogram is shown below.

(b) E (X) = 4.2

(c) SD (X) = 2.73

Step-by-step explanation:

Let <em>X</em> = <em>r</em><em> </em>= a driver will tailgate the car in front of him before passing.

The probability that a driver will tailgate the car in front of him before passing is, P (X) = <em>p</em> = 0.35.

The sample selected is of size <em>n</em> = 12.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 12 and <em>p</em> = 0.35.

The probability function of a binomial random variable is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x}

(a)

For <em>X</em> = 0 the probability is:

P(X=0)={12\choose 0}(0.35)^{0}(1-0.35)^{12-0}=0.006

For <em>X</em> = 1 the probability is:

P(X=1)={12\choose 1}(0.35)^{1}(1-0.35)^{12-1}=0.037

For <em>X</em> = 2 the probability is:

P(X=2)={12\choose 2}(0.35)^{2}(1-0.35)^{12-2}=0.109

Similarly the remaining probabilities will be computed.

The probability distribution table is shown below.

The histogram is also shown below.

(b)

The expected value of a Binomial distribution is:

E(X)=np

The expected number of vehicles out of 12 that will tailgate is:

E(X)=np=12\times0.35=4.2

Thus, the expected number of vehicles out of 12 that will tailgate is 4.2.

(c)

The standard deviation of a Binomial distribution is:

SD(X)=np(1-p)

The standard deviation of vehicles out of 12 that will tailgate is:

SD(X)=np(1-p)=12\times0.35\times(1-0.35)=2.73\\

Thus, the standard deviation of vehicles out of 12 that will tailgate is 2.73.

4 0
3 years ago
Sheza and Hadia had 12579 paper stars. Sheza gave 2214 paper stars to Hadia. Now Hadia had twice as many paper stars as Sheza. H
makvit [3.9K]

Answer:

10365

Step-by-step explanation:

12579 - 2214

= 10365

7 0
2 years ago
Is a exponent determined by the amount of zeros in the number?
Alex777 [14]
Yup, the amount of 0's is the exponent. for example 1000= 10^3, hope this helped :)
3 0
3 years ago
Geometry!!Find the area of the rhombus!!
mars1129 [50]

The area of a rhombus is half of the product of the lengths of the diagonals.

area = (7.5 yd + 7.5 yd)(13 yd + 13 yd)/2

area = (15 yd)(26 yd)/2

area = 390 yd^2/2

area = 195 yd^2

Answer: 195

7 0
3 years ago
Select the interval where f(x)&gt;0<br><br> A: -2 B: 1&lt; x&lt;2<br> C: 4<br> HELP
Viefleur [7K]

Answer: 1 < x < 2

Step-by-step explanation:

7 0
3 years ago
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