# Internet anywhere

In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that

Correct result:

a =  0.279
b =  0.315

#### Solution:

$C_{{ 5}}(8) = \dbinom{ 8}{ 5} = \dfrac{ 8! }{ 5!(8-5)!} = \dfrac{ 8 \cdot 7 \cdot 6 } { 3 \cdot 2 \cdot 1 } = 56 \ \\ p=60/100=\dfrac{ 3 }{ 5 }=0.6 \ \\ q=1-p=1-0.6=\dfrac{ 2 }{ 5 }=0.4 \ \\ \ \\ a={ { 5 } \choose 8 } \cdot \ p^5 \cdot \ q^{ 8-5 }={ { 5 } \choose 8 } \cdot \ 0.6^5 \cdot \ 0.4^{ 8-5 }=0.279$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Tips to related online calculators
Looking for a statistical calculator?
Would you like to compute count of combinations?

## Next similar math problems:

• Researchers
Researchers ask 200 families whether or not they were the homeowner and how many cars they had. Their response was homeowner: 14 no car or one car, two or more cars 86, not homeowner: 38 no car or one car, two or more cars 62. What percent of the families
• Genetic disease
One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting the disease. A family has 3 children. What is the probability of this family having one child who inherited
• Component fail
There is a 90 percent chance that a particular type of component will perform adequately under high temperature conditions. If the device involved has four such components, determine the probability that the device is inoperable because exactly one of the
• Sick days
In Canada, there are typically 261 working days per year. If there is a 4.9% chance that an employee takes a sick day. .. what is the probability an employee will use 17 OR MORE sick days in a year?
• Sales
From statistics of sales goods, item A buy 51% of people and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B?
• All use computer
It is reported that 72% of working women use computers at work. Choose 3 women at random, find the probability that all 3 women use a computer in their jobs.
• Family
94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
• travel agency
Small travel agency offers 5 different tours at honeymoon. What is the probability that the bride and groom choose the same tour (they choose independently)?
• Probability of malaria
A survey carried out at a certain hospital indicates that the probability that a patient tested positive for malaria is 0.6. What is the probability that two patients selected at random (i) one is negative while the other tested positive? (i) both patient
• Calculation of CN
Calculate: ?
• Probability of failures
In certain productions, the probability of failures is 0.01. Calculate the probability that there will be more than 1 failure among the 100 selected products if we return the selected products to the file after the check.
• One green
In the container are 45 white and 15 balls. We randomly select 5 balls. What is the probability that it will be a maximum one green?
• Trinity
How many different triads can be selected from the group 43 students?
• Fish tank
A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
• Cards
The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
• Deficiencies
During the hygienic inspection in 2000 mass caterers, deficiencies were found in 300 establishments. What is the probability that deficiencies in a maximum of 3 devices will be found during the inspection of 10 devices?
• Six questions test
There are six questions in the test. There are 3 answers to each - only one is correct. In order for a student to take the exam, at least four questions must be answered correctly. Alan didn't learn at all, so he circled the answers only by guessing. What