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
Reika [66]
3 years ago
10

On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees

are randomly selected for a special in-depth study on absenteeism. What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent
Mathematics
1 answer:
Ann [662]3 years ago
4 0

Answer:

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they are absent, or they are not. The probability of an employee being absent is independent from other employees. 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.

5% of the production employees at Midland States Steel are absent from work.

This means that p = 0.05

What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

This is P(X = 0) when n = 10. So

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

P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987

59.87% probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

You might be interested in
The tiles below represent the polynomial 2x+ 5x+ 3.
alekssr [168]

Answer:

(2x+3)(x+1)

Step-by-step explanation:

A P E X

6 0
3 years ago
16. The weather report gives the temperature as 35 degrees Celsius. Find the
musickatia [10]

Answer:

F=95\°

Step-by-step explanation:

we know that

C=\frac{5}{9}(F\°-32)

In this problem we have

C=35\°

substitute the given value in the formula and solve for F

35\°=\frac{5}{9}(F\°-32)

F-32=\frac{9}{5}(35)

F=\frac{9}{5}(35)+32

F=95\°

7 0
3 years ago
Read 2 more answers
A can of mixed nuts contains 54 nuts, including 21 pecans.
Luda [366]

Answer:

7/18

Step-by-step explanation:

21 out of 54 = 21/54 = 7/18

5 0
2 years ago
Read 2 more answers
When would you need to use a small standard deviation?
docker41 [41]

Answer:

You can also use standard deviation to compare two sets of data. For example, a weather reporter is analyzing the high temperature forecasted for two different cities. A low standard deviation would show a reliable weather forecast.

Step-by-step explanation:

4 0
3 years ago
Help and please number the answers accurately thanks a lot!
kvasek [131]

Answer:

I KNOWW THE ANSWER!!

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • How much is 10 minus 2??
    9·1 answer
  • Please help!!
    11·1 answer
  • Entrance to a state park costs $6 per vehicle plus $2 per person in the vehicle how much would it cost for a car with 2 people t
    6·1 answer
  • Combine like radicals to get your answer. <br><br> image attached
    9·1 answer
  • what is the surface area of a rectangular prism with a hight of seven, length of eleven and a side length of six?​
    11·1 answer
  • Which fraction is equivalent to 0.3636?
    8·2 answers
  • How much more than 1/4 cup is 3/4 a cup? Write in simplest form.
    9·2 answers
  • What is the Answer 0.844 standard form
    14·2 answers
  • Complete the square to find the vertex of this parabola
    14·1 answer
  • Given the first term, f(1) = 3 and the common difference of 5, find the first<br> 5 terms.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!