The missing term in the sequence

The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In 7 traffic

Luden [163]

Answer:

a.

$P(X=3)=0.2903\\\\P(X \geq 3)=0.5801\\\\P(X\leq 3)0.7102$

b.

$P(2\leq x\leq 4 )=0.7451$

c. mean=2.8

d . standard deviation=1.2961

Step-by-step explanation:

We determine that the accident rates follow a binomial distribution. The rate of success p=0.4 and sample n=7:

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

#the probability of exactly three;

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=3)={7\choose 3}0.4^3(0.6)^{4}\\\\=0.2903$

#At least(more than 2)

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 3)=1-P(X\leq 2)\\\\=1-{7\choose 0}0.4^0(0.6)^{7}-{7\choose 1}0.4^1(0.6)^{6}-{7\choose 2}0.4^2(0.6)^{5}\\\\=1-0.0280-0.1306-0.2613\\\\=0.5801$

#At most 3;

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X \leq 3)={7\choose 0}0.4^0(0.6)^{7}+{7\choose 1}0.4^1(0.6)^{6}+{7\choose 2}0.4^2(0.6)^{5}+{7\choose 3}0.4^3(0.6)^{4}\\\\\\\=0.0280+0.1306+0.2613+0.2903\\\\=0.7102$

b. Between 2 and 4:

Using the binomial expression, this probability is calculated as:

$P(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(2\leq x\leq 4 )={7\choose 2}0.4^2(0.6)^{5}+{7\choose 3}0.4^3(0.6)^{4}+{7\choose 4}0.4^4(0.6)^{3}\\\\\\\\\=0.2613+0.2903+0.1935\\\\=0.7451$

Hence,the probability of between 2 and four is 0.7451

c. From a above, we have the values of n=7 and p=0.4.

-We substitute this values in the formula below to calculate the mean:

-The mean of a binomial distribution is calculated as the product of the probability of success by the sample size, mean=np:

$\mu=np, n=7, p=0.4\\\\\mu=7\times 0.4\\\\=2.8$

Hence, the standard deviation of the sample is 2.8

d. From a above, we have the values of n=7 and p=0.4

--We substitute this values in the formula below to calculate the standard deviation

-The standard deviation a binomial distribution is given as:

$\sigma={\sqrt {np(1-p)}\\\\=\sqrt{7\times 0.4\times 0.6}\\\\=1.2961$

Hence, the standard deviation of the sample is 1.2961

4 0

3 years ago

От

enot [183]

Answer:

2.75 miles, 14520 feet

Step-by-step explanation:

11 miles/4=2.75

1 mile=5280 feet

2.75 miles=14520 feet

6 0

3 years ago

HELP!!!

juin [17]

E. 5x+3 = 28
5x = 28 - 3
Divide by 5
Final answer = 5

F. 3x-9 = 18
3x = 18 + 9
18 + 9 = 27
Divide by 3
Final answer: 9

G. 8x-1=7
8x = 7 + 1
7 + 1 = 8
8x = 8
Divide by 8
Final answer: 1

H. 3x+5 = 10
3x = 10 - 5
10 - 5 = 5
Divide by 3
Final answer: 5/3

i. 13 + 7x = -1
7x = -1 - 13
-1 - 13 = -14
Divide by 7
Final answer: -2

j. 14 = 3x + 5
-3x + 14 = 5
-3x = 5 - 14
-3x = -9
Divide by - 3
Final answer: 3

K. 4x - 7 = -13
4x = -13 + 7
4x = -6
Divide by 4
Final answer: -3/2

l. -3 = 2x+ 9
-2x - 3 = 9
-2x = 9 + 3
9 + 3 = 12
2x = 12
Divide it by -2
Final answer: -6

6 0

3 years ago

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Margarita [4]

0.9 is the answer put it in the calculator and it will show you
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8 0

3 years ago

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Levart [38]

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