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Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability,

Maurinko [17]

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that $p = 0.08$

Sample of 11 college graduates:

This means that $n = 11$

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662$

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

4 0

4 years ago

What is a square root?

Alex777 [14]

Answer:

a number which produces a specified quantity when multiplied by itself.

Step-by-step explanation:

7 is a square root of 49"

8 0

3 years ago

Read 2 more answers

How to solve: <img src="https://tex.z-dn.net/?f=log_%7B3%7D%20%28x%2B6%29%20%2B%20log_%7B3%7D%28x-6%29%20%3D%204" id="TexFormula

Shalnov [3]

Collapse the logarithms into one:

$\log_3(x+6)+\log_3(x-6)=\log_3((x+6)(x-6))=4$

Then write both sides as powers of 3:

$3^{\log_3((x+6)(x-6))}=3^4$

$(x+6)(x-6)=81$

Simplify the left side and solve for $x$ :

$x^2-36=81$

$x^2=117$

$x=\pm\sqrt{117}=\pm3\sqrt{13}$

But we're not done yet. Notice that both $x+6$ and $x-6$ are negative when $x=-3\sqrt{13}$ . We can't take the logarithm of a negative number (the result isn't real-valued, anyway), so we throw this solution out, and we're left with just

$x=3\sqrt{13}$

5 0

3 years ago

Cuanto cuestan 4 camisetas a $16,000 la docena?

Y_Kistochka [10]

<span>Lo siento, no sé español, pero lo intenté.

Si se trata de "$ 16,000" para una docena de camisas que es 12, se dividiría "16,000 entre 12". Luego obtendrás 1,333.3 para multiplicar eso por 4 y luego obtendrás 5,333.3 a lo que responderás.

Esta es la ecuación,
16,000 / 12 = 1,333.3 x 4 = 5,333.3

Espero que esto ayude :-)</span>

4 0

4 years ago

How many solutions does 2x = 4 have? Explain.

zmey [24]

Answer:

1

Step-by-step explanation:

it only has one solution to divide

5 0

3 years ago