Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Juan conducted a survey of 550 employees of a company about their favorite pastime. Of these, 169employees chose playing games, 233 employees chose swimming. Compare the probability of an employee'schoosing playing games to an employee's choosing swimming.O about 32% to about 44%O about 32% to about 42%O about 31% to about 42%O about 31 % to about 44%

Sagot :

SOLUTION

Write out the given data from the question

[tex]\begin{gathered} \text{Total employees=550} \\ E\text{mployes playing games =169} \\ \text{Employees for swimming=233} \end{gathered}[/tex]

The probabilty of an event is given by the formula

[tex]\frac{\text{ Required outcome}}{Total\text{ outcome }}[/tex]

Let

The probabilty of Employing playing games be P(E)

The probabilty of Employing for swimming be P(F)

then

[tex]\begin{gathered} P(E)=\frac{\text{Number of employ}ees\text{ playing games}}{Total\text{ number of employ}ees} \\ \\ \end{gathered}[/tex]

Where

Number of employees playing games =169

Total employees =550

Substituting the values, we have

[tex]P(E)=\frac{169}{550}=0.3072[/tex]

Since the probability is in percentage, multiply by 100

[tex]P(E)=0.3072\times100=30.72[/tex]

Hence,

The probability of employees playing game at pastime is about 31%

Similarly,

[tex]\begin{gathered} P(F)=\frac{\text{Number of swimming employ}ees}{Total\text{ employe}es} \\ \text{Where } \\ \text{Number of swimming employ}ees=233 \\ Total\text{ employe}es=550 \end{gathered}[/tex]

Substituting the values, we have

[tex]P(F)=\frac{233}{500}=0.4236[/tex]

Since the probability is in percentages, We multiply by 100

Hence

[tex]P(F)=0.4236\times100=42.36[/tex]

Hence

The probabilty of the employes swimming at passtime is about 42%

Therefore

the probability of an employee's choosing playing games to an employee's choosing swimming is about 31% to about 42%

Answer; about 31% to about 42%(Third option)

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.