Mathematics, 14.02.2020 22:45 romyknight

The probability of an employee receiving the Superstar of the Month Award for a large company is 22%. What is the probability of exactly 10 employees receiving the award out of one department with 30 employees

Answers: 1

Show answers

Answers

Answer from: amunnik04

0.055

Step-by-step explanation:

We have been given that the probability of an employee receiving the Superstar of the Month Award for a large company is 22%. We are asked to find the probability of exactly 10 employees receiving the award out of one department with 30 employees.

We will use Bernoulli's trails to solve our given problem.

$P(X=x)=^nC_x\cdot p^x(1-p)^{n-x}$

Upon substituting our given values, in above formula, we will get:

$P(X=10)=^{30}C_{10}\cdot 0.22^{10}(1-0.22)^{30-10}$

$P(X=10)=\frac{30!}{10!(30-10)!}\cdot 0.22^{10}(0.78)^{20}$

$P(X=10)=\frac{30*29*28*27*26*25*24*23*22*21*20!}{10*9*8*7*6*5*4*3*2*20!}\cdot 0.0000002655992279\cdot 0.0069485158708622$

$P(X=10)=29*3*13*5*23*11*21\cdot 0.00000000184552045035189$

$P(X=10)=30045015\cdot 0.00000000184552045035189$

P(X=10)=0.055448689613

$P(X=10)\approx 0.055$

Therefore, the probability that exactly 10 employees will receive the award out of one department with 30 employees, would be 0.055.

Answer from: Quest

answer: approximately 206 bones

i hope this u out a branlist and a would be greatly appreciated :

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

Another question on Mathematics

Mathematics, 21.06.2019 20:00

Ialready asked this but i never got an answer. will give a high rating and perhaps brainliest. choose the linear inequality that describes the graph. the gray area represents the shaded region. y ≤ –4x – 2 y > –4x – 2 y ≥ –4x – 2 y < 4x – 2

Answers: 1

Answer

Mathematics, 21.06.2019 21:40

Which of the following best describes the graph below? + + 2 + 3 + 4 1 o a. it is not a function. o b. it is a one-to-one function. o c. it is a many-to-one function. o d. it is a function, but it is not one-to-one.

Answers: 3

Answer

Mathematics, 22.06.2019 03:30

Multiply the polynomials (x+3)(x^2-6x+5)

Answers: 1

Answer

Mathematics, 22.06.2019 03:50

Ken leaves work 20 minutes late. he decides to make up time by taking the toll road instead of side streets. he can travel three times faster by taking the toll road. create an equation to represent his total travel time, including wait time, where x is the number of minutes the drive was expected to take

Answers: 2

Answer

You know the right answer?

The probability of an employee receiving the Superstar of the Month Award for a large company is 22%...

Questions

Mathematics, 09.03.2021 02:50

An art gallery has 18 paintings and 4 photographs displayed in equal rows on a wall, with the same number of each type of art in each row...

Mathematics, 09.03.2021 02:50

Help ...

Mathematics, 09.03.2021 02:50

Suppose that a US-based company is buying Chinese goods. Current exchange rate for Chinese Yuan is 0.15 USD. The price of goods is ¥13,000 per unit. T...

Mathematics, 09.03.2021 02:50