1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Radda [10]
3 years ago
12

g Use the information below for questions 1 through 5. A San Francisco-based tech firm is able to keep 80% of its new employees

after one year. Assume that the retention probability of each new employee is independent of other employees. Q1. What is the chance that two randomly sampled new employees will both be able to survive their first year
Mathematics
1 answer:
meriva3 years ago
3 0

Answer:

0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they survive the first year, or they do not. The probability of an employee surviving the first year is independent of other employees. 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.

A San Francisco-based tech firm is able to keep 80% of its new employees after one year.

This means that p = 0.8

Q1. What is the chance that two randomly sampled new employees will both be able to survive their first year

This is P(X = 2) when n = 2. So

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

P(X = 2) = C_{2,2}.(0.8)^{2}.(0.2)^{0} = 0.64

0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year

You might be interested in
4. What other information is needed to prove the two triangles similar? : Please step by step
Oduvanchick [21]

Answer:

Step-by-step explanation:

triangle

7 0
2 years ago
How come eleven times eleven equal 121
sasho [114]
Try adding 11, 11 times. It is a long process, but it should give you what you are looking for. First. to break it down add 10 eleven time, then after you get 110 add the remaining 11.
8 0
3 years ago
$210 at 8% for 7 years
Genrish500 [490]
The answer is $327.60
7 0
3 years ago
Question 7 of 55 Andres plays a soccer video game. He earns 3 stars for every goal he scores and loses star every time he misses
Veseljchak [2.6K]

Answer:

d

Step-by-step explanation:

4 0
3 years ago
Evaluate 5x10 -6²+5<br> A:9<br> B:19<br> C:43<br> D:85
lord [1]
The answer is your second number
B : 19
6 0
3 years ago
Other questions:
  • Which to numbers add up to 17 and multiply to 75
    7·2 answers
  • Convert 22 to a numeral in base 2.
    7·2 answers
  • What is the value of a?
    6·1 answer
  • Yuto solved the equation below. Negative 2 (x + 5) = negative 2 (x minus 2) + 5 What is the solution to Yuto’s equation? –10 9 n
    13·2 answers
  • The data set gives the number of hours it took each of the 10 students in a cooking class to master a particular technique.
    15·2 answers
  • Evaluate the geometric series . 254 255 508 510
    13·2 answers
  • Which number is the biggest,
    8·2 answers
  • The graph of f(x) = 3x + 8 is shown.
    5·1 answer
  • How does the graph of g(x)=
    14·1 answer
  • Henry walked on a flat field 9 meters due north from a tree. He then turned due east and walked 24 feet. He then turned due sout
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!