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
gayaneshka [121]
3 years ago
6

A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution belo

w. Fifty people work for the manager. How many people work 4 hours per shift?
Probability Distribution
Hours Worked: X
Probability: P(X)
3
0.1
4
?
5
0.14
6
0.3
7
0.36
8
0.06
0
1
2
4
Mathematics
2 answers:
enot [183]3 years ago
8 0

Answer:

2 people worked for 4 hours.

Step-by-step explanation:

We are given X = No. of hours worked

And we are also given that No. of people work for the manager = 50   

X = 3, 4 , 5 , 6 , 7, 8

P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06

Since sum of all the probabilities =1

So,

0.1 + ? + 0.14 + 0.3 +  0.36 + 0.06 =1

0.96+? =1

? = 1 - 0.96

? = 0.04

So, probability of no. of people worked for 4 hours = 0.04

P(4)=0.04

So, no. of people worked for 4 hours =50*P(X)

                                                              =50*0.04

                                                              =2

Hence 2 people worked for 4 hours.

Reika [66]3 years ago
5 0

Answer:

c. 2

Step-by-step explanation:

Given : X = No. of hours worked

           No. of people work for the manager = 50

           X = 3, 4 , 5 , 6 , 7, 8

           P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06

To Find : No. of people work for four hours

Solution : First understand the fact that sum of all probabilities is equal to 1

So, sum of all values of P(X) = 1

⇒0.1+?+0.14+0.3+0.36+0.06 = 1

⇒0.96+? = 1

⇒?= 1-0.96

⇒? = 0.04

So, the probability of no. of people worked for 4 hours is 0.04.

⇒P(4)=0.04

Thus , To calculate no. of people work for four hours :

0.04\times 50

⇒ 2 no. of people work for four hours per shift .


You might be interested in
Which is the more reasonable temperature for a snowy day: 30° C or 30° F?
andrew-mc [135]
The more reasonable temperature is 30°F
6 0
3 years ago
Read 2 more answers
What is the smallest angle of rotational symmetry for the regular octagon?
Luda [366]
The answer you are looking for is 45
6 0
3 years ago
Read 2 more answers
Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?
Andrej [43]
<span>The general equation of a quadratic is expressed as y = ax^2+bx+c. To convert the general equation to vertex form, we need to obtain this form:

(y- k)= a(x - h)^2

This could be done by using completing the square method.

</span><span>y = –3x^2 – 12x – 2
</span><span>y + 2 = –3(x^2 + 4x) 
</span>y + 2 -12 <span>= –3(x^2 + 4x + 4) 
</span>y - 10 = -3(x+2)^2

Therefore, the answer is the first option.
3 0
4 years ago
Read 2 more answers
Nadine can send or receive a text message for 15 cents or get an unlimited number for 5 dollars. Write and solve an inequality t
Ne4ueva [31]
$0.15x>$5.00
x>33.3333
So if she sends or receives more than 33 text messages, she will be paying more than $5.00.
4 0
3 years ago
Why is it important to study the environment as a system?
V125BC [204]

Answer:

Step-by-step explanation:

Our environment is very important to us because it is where we live and share resources with other species. ... Environmental science enlightens us on how to conserve our environment in the face of increasing human population growth and anthropogenic activities that degrade natural resources and ecosystems. hope it help

4 0
3 years ago
Other questions:
  • 400 Meters = How Many Yards?
    9·1 answer
  • a boat cost 92,000.00 and depreciates in value by 15% per year how much will the boat be worth after 10 years
    15·2 answers
  • Find the difference: 9x2 − 24x2
    6·1 answer
  • Helppppppppp?!!!:)???
    5·2 answers
  • At the amusement park each students is given $16 dollars for food. This covers the cost of 2 meals plus $4 for snacks. how much
    5·2 answers
  • ....................
    11·2 answers
  • PLSS HELP ME CUS YES
    6·2 answers
  • Which graph BEST represents the line of best fit for the scatterplot?<br>a.<br>b.<br>c.<br>d.
    5·2 answers
  • What is the value of the exponential expression below?<br> 36 1/2
    5·1 answer
  • SOMEONE PLS HELP
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!