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Arisa [49]
2 years ago
10

Help I'll give brainlist for anyone who can write and solve the hardest math problem!,,

Mathematics
1 answer:
Sidana [21]2 years ago
6 0
The hardest math problem is solving life, I mean this because everyone is trying to make good decisions which means you never stop thinking through your whole day
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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
If-2a &gt; 6, then<br> -a&gt;3<br> -a&lt;3<br> -a&lt;-3<br> -a&gt;-3
chubhunter [2.5K]

Answer:

a < - 3

Step-by-step explanation:

Given

- 2a > 6

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity, thus

a < - 3

5 0
3 years ago
Help with fractions of a whole number
Ymorist [56]

Answer:

22 tickets

Step-by-step explanation:

I assume you're asking about question 2

To find a fraction of a whole number you divide by the bottom number and multiply by the top number. If 2/3 are kids tickets then 1/3 are adult tickets so you divide by 3 and multiply by 1

66 \div 3 = 22 \times 1 = 22

8 0
2 years ago
Which graph should Laila choose? Explain your reasoning by completing the sentence. Click arrows to choose an answer from each m
Leno4ka [110]

Answer:

box plot

Step-by-step explanation:

6 0
3 years ago
When x = 12, y = 8. Find x when у = 12
Bad White [126]

Answer:

y =  \frac{12 \times 12}{8}  = 18

7 0
3 years ago
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