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
amm1812
3 years ago
8

Thirty-two percent of the students in a management class are graduate students. A random sample of 5 students is selected. Using

the binomial probability function, determine the probability that the sample contains fewer than two graduate students? (Please express answer to four decimal places in the following form: 2.5555 or 2.0001).
Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0

Answer:

0.4875

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are a graduate student, or they are not. The probability of a student being a graduate student is independent from 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.

Thirty-two percent of the students in a management class are graduate students.

This means that p = 0.32

A random sample of 5 students is selected.

This means that n = 5

Determine the probability that the sample contains fewer than two graduate students?

P(X < 2) = P(X = 0) + P(X = 1)

In which

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

P(X = 0) = C_{5,0}.(0.32)^{0}.(0.68)^{5} = 0.1454

P(X = 1) = C_{5,1}.(0.32)^{1}.(0.68)^{4} = 0.3421

P(X < 2) = P(X = 0) + P(X = 1) = 0.1454 + 0.3421 = 0.4875

0.4875 = 48.75% probability that the sample contains fewer than two graduate students

You might be interested in
What's the easiest way to answer how I know the answer pls?​
-BARSIC- [3]
Answer: Table C

Explanation: The X values match up with those on the graph!
4 0
2 years ago
Can anyone help me with this question?
Andreyy89

Answer:

x= 60°, y = 80°, z = 40°

Step-by-step explanation:

Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.

Hence z= 40° { corresponding angles of parallel lines}

Similarly;

Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.

60° = x° { corresponding angles of parallel lines}

Now looking at the angle between x and y; let's call the angle between them r

And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}

Note that x + r + y = 180°{ angle on a straight line}

y = 180° - ( x + r)

y = 180 - (60+40)

y = 180° - 100°

= 80°

6 0
3 years ago
Shelby will take a total of 6 tests. On the first 5 tests, her scores were: 80, 85, 73, 78, 90. If she wants a mean grade of 80,
Andrew [12]

Answer:

74

Step-by-step explanation:

4 0
3 years ago
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Andrews [41]
So you need to find the $ for one hour of work
if 16=135
1 hour= $8.50
$8.50*24= $204
answer=$204
hope this helps :)
3 0
3 years ago
a water sprinkler rotates one-degrer turn at each interval. if the sprinkler rotates a total 110, how many one turns has the spr
antoniya [11.8K]

....................

8 0
3 years ago
Other questions:
  • EXTRA POINTS I need helpppp right nowww please help i need help extra points for this i need 100% okay -------------------------
    6·2 answers
  • Marco wants to set up 12 small turbines with 3 blades each.If 4 wind turbines blades cost $79.64,how much will all the blade cos
    11·2 answers
  • How how do you how do you estimate 4.23-2.51
    11·2 answers
  • The product of two interferes is 72. If one integer is 18,what you is the other integer?
    8·1 answer
  • My first expression answer is y=5 -2x How do I plug it into x-y=1 ?? The Y
    9·1 answer
  • Please help will mark BRAINLIEST
    10·1 answer
  • What is the value of the expression? 8P3 120 O 20 O 56 6720 O​
    13·1 answer
  • What is the greatest common factor of 32, 44, and 48?
    6·2 answers
  • Charging $20 for 10 pieces of pizza.
    7·2 answers
  • Which statement is true based on the diagram?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!