# statistics

posted by .

I am having trouble figuring out how to do this type of problem. Here is the current problem I am working on:

the probability that a tomato seed will germinate is 60%. A gardener plants in batches of 12.

A.) what is the probaility that exactly 10 seeds will germinate?

B.) what is the probability that 10 or more will germinate?

C.) what is the probability that all seeds will germinate?

D.) Find the mean.

E.) find the standard deviation.

• statistics -

Your first 3 questions deal with binomial distribution in probability.

A) for exactly 10 out of 12
C(12,10) (.6)^10 (.4)^2
= 66(.00605)(.16)
= .0639

B) repeat the same calculations as above for
10 out of 12 + 11 out of 12 + 12 out of 12

C)that would be C(12,12)(.6)^12 = .002177
(you should have had the same result for the last part of B) )

• statistics -

I assume you refer to the batches of 12 planted seeds.

A)P(10) = (0.6)^10*(0.4)^2*[10!/(8!*2!)]
= 0.006047*0.16*(10*9/2)= 0.04359
B) Add P(10), P(11) and P(12)
P(11) = 0.6^11*0.4*10= 0.01451
See the next answer for P(12)

C) P(12) = (0.6)^12 = 0.00218
D) mean = (0.6)*12 = 7.2
E) sqrt[12*(0.6)(0.4)] = 1.70
(I'm not sure about the last one)

## Similar Questions

1. ### Math

I am having trouble figuring out how to find the domains an example problem is p(x)=2x-2
2. ### calculus

I am working on this problem and having some trouble. We're supposed to use partial fractions. The problem is: integral of dx / (x^6-1) . I got the values of A and D, but I am having trouble with the others. Help please!
3. ### Statistics

10, 12, 16, 17, 20 I'm having a problem figuring out how the answer is 64... how do I get that because I have to show my work Thanks for your help
4. ### Physics - HELP! PLEASE

The problem is from fundamentals of physics 9th edition by halliday. Here is a free download of the book since I couldn't post the graph (I had to write out link since site doesn't allow links to be posted): tripplew period sendspace …
5. ### Statistics

The probability that a radish seed will germinate is 0.6. Estimate the probability that of 130 randomly selected seeds, exactly 90 will germinate. Note: I keep getting the answer wrong.
6. ### math problem solving

leslie has 17 tomato plants that she wants to plant in rows. she will put 2 plants in some rows and 1 plant in others. how many different ways can she plant the tomato plants?
7. ### Statistics

a seed company advertises that, if its seeds are properly planted, 95% of them will germinate. What is the probability that, when 20 seeds are properly planted, at least 15 will germinate - pM( 19/20)?
8. ### Statistics

Use normal approximation to find the probability of the indicated number of voters. In this case, assume that 184 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, …
9. ### Statistics

I have gotten the concept of probability but the following question has really stumped me. Help please. The probability that a tomato seed will germinate is 0.9. Estimate the probability that of 100 randomly selected seeds, at least …
10. ### statistics

2) sue, a botanist, is studying a new plant seed. if it is known that these seeds have a 95% probability of germinating. if sue plants 6 seeds, what is the probability that; a) exactly four seeds will germinate?

More Similar Questions