# Bulbs

The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of eight bulbs can operate 4000 hours?

Result

p2 =  19.8 %

#### Solution:

$p = 0.3 \ \\ \ \\ C_{{ 1}}(8) = \dbinom{ 8}{ 1} = \dfrac{ 8! }{ 1!(8-1)!} = \dfrac{ 8 } { 1 } = 8 \ \\ \ \\ p_{ 2 } = 100 \cdot \ { { 8 } \choose 1 } \cdot \ p \cdot \ (1-p)^{ 8-1 } = 100 \cdot \ 8 \cdot \ 0.3 \cdot \ (1-0.3)^{ 8-1 } \doteq 19.765 = 19.8 \%$

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!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Would you like to compute count of combinations?
Do you want to convert time units like minutes to seconds?

## Next similar math problems:

1. 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?
2. Cards
The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
3. 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)?
4. Balls
The urn is 8 white and 6 black balls. We pull 4 randomly balls. What is the probability that among them will be two white?
5. 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
6. Green - Red
We have 5 bags. Each consist one green and 2 red balls. From each we pull just one ball. What is the probability that we doesn't pull any green ball?
7. 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 patien
8. 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
9. 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 a) exactly 5 have access to the internet. b) At least 6 students have access to the internet
10. Family
94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
11. A book
A book contains 524 pages. If it is known that a person will select any one page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253.
12. A pizza
A pizza place offers 14 different toppings. How many different three topping pizzas can you order?
13. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
14. Trinity
How many different triads can be selected from the group 43 students?
15. Calculation of CN
Calculate: ?
16. 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?
17. Simple interest 3
Find the simple interest if 11928 USD at 2% for 10 weeks.