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
Gemiola [76]
3 years ago
14

"A study conducted at a certain college shows that 56% of the school's graduates find a job in their chosen field within a year

after graduation. Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating."
Mathematics
1 answer:
KiRa [710]3 years ago
8 0

Answer:

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they find a job in their chosen field within one year of graduating, or they do not. The probability of a student finding a job in their chosen field within one year of graduating is independent of other students. So 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.

56% of the school's graduates find a job in their chosen field within a year after graduation.

This means that p = 0.56

Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

This is P(X \geq 1) when n = 6.

Either none find a job, or at least one does. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{6,0}.(0.56)^{0}.(0.44)^{6} = 0.0073

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0073 = 0.9927

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

You might be interested in
Could you help me solve this problem ASAP :D
Igoryamba

Answer:

B) 1/4x+1/2=1/3x

Hope this helps!

6 0
3 years ago
For what values of a and b is the line 3x y=b tangent to the curve y=ax3 when x=3?
Sav [38]
Hello : here is a solution 

6 0
3 years ago
What are the values of x and y?
lesantik [10]
Please help me out owo

7 0
3 years ago
Which one is a polynomial ? it’s not B!!
Alina [70]
A probably i dont know
7 0
3 years ago
Which expression is equivalent to 2(3 - x) - 12 + 4x<br><br> 3x - 6<br> 3x - 7<br> 2x - 7<br> 2x - 6
Nadya [2.5K]
The answer is b. 3x-6
5 0
3 years ago
Other questions:
  • C(-6, 5) and D(-3, 1). find the distance between the two points
    14·1 answer
  • Say a certain service industry has 78.9 thousand jobs in 2003, but expects to increase at an average annual rate of 2.65 thousan
    7·2 answers
  • Pls help (50 points)
    6·2 answers
  • Trudy is making punch for a party. She plans to use 4 cans of frozen lemonade, 2 baskets of strawberries, and 1 can of frozen or
    7·1 answer
  • Let A ={1,2,3} and B={x|x is a prime number less than 10 } find A×B B×A​
    10·1 answer
  • The relation {(-1, 4), (2, 7), (3, 7)} is a function.
    6·1 answer
  • HELP PLEASE!!!!! Solve each system.
    10·2 answers
  • How do you solve this?
    15·1 answer
  • mrs cabrini needs 2 quarts of tomato sauce to make a large batch of her spaghetti sauce. she has 1 1/4 quarts of her own. she bo
    12·1 answer
  • How do the y-values in the table grow? The y-values increase by a factor of 49 for each x increase of 1. The y-values increase b
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!