What shape is rhe ramp

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

PLEASE HELP ME WITH THIS HOME WORK

dem82 [27]

I totally understand that was exactly how my life was what are the homework problems?

4 0

3 years ago

If the price is $40, the number of units sold is 450, and the average cost is $33, what is the profit?

Vlad [161]

14850 is the average profit
and 18000 is the charge of $40
so 18000-14850 is your answer

4 0

3 years ago

Read 2 more answers

100×1.46= cash exhange

liq [111]

Answer:

$\dashrightarrow \sf \: 100 \times 1.46 \\ \\ \dashrightarrow \sf \: \cancel{100} \times \frac{146}{ \cancel{100 }} \\ \\ \dashrightarrow \sf \: 146$

3 0

3 years ago

2 times what eqvals 49

Naddik [55]

So what you can do is take 49 and divide it by 2 cause times is multiplication so if you take 49 and divide that by 2 you would get 24.5. Now if you plug so like 24.5 · 2 would would get 49.
~Good Luck~

4 0

3 years ago