SOLUTION: Please can you help me! Question: One in four adults says he or she has no trouble sleeping at night. You randomly select five adults and ask if he or she has no trouble sleeping

Question 856392: Please can you help me!
Question: One in four adults says he or she has no trouble sleeping at night. You randomly select five adults and ask if he or she has no trouble sleeping at night.
1. Construct a binomial distribution.
2. Graph the binomial distribution using a histogram.
3. Describe the shape of the histogram.
Construct a binomial distribution. I figured out that n= 5, p= 1/4, q= 3/4. So:
P(0)= 5 C 0 (1/4)^0 (3/4)^5 = 1 (1/4)^0 (3/4)^5 = .2373
P(1)= 5 C 1 (1/4)^1 (3/4)^4 = 5 (1/4)^1 (3/4)^4 = .3955
P(2)= 5 C 2 (1/4)^2 (3/4)^3 = 10 (1/4)^2 (3/4)^3 = .2637
P(3)= 5 C 3 (1/4)^3 (3/4)^2 = 10 (1/4)^3 (3/4)^2 = .0879
P(4)= 5 C 4 (1/4)^4 (3/4)^1 = 5 (1/4)^4 (3/4)^1 = .0146
P(5)= 5 C 5 (1/4)^5 (3/4)^0 =1 (1/4)^5 (3/4)^0 = 9.765625 E-4
I'm confused what I did wrong here because the probability adds up to be over 1, so is this unusual? I am also required to graph a histogram out of this; I just don't think I can because I think my numbers are messed up.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You must have added wrong because it does add up to 1.
So far you have the correct answers.
RELATED QUESTIONS
One in four adults says he or she has no trouble sleeping at night. You randomly select 5 (answered by ewatrrr)

I am having some trouble with understanding binomial distributions, I hope someone could... (answered by stanbon)

Please help me solve this;46% OF ADULTS SAY CASHEWS ARE THEIR FAVORITE KIND OF NUT. YOU... (answered by stanbon)

1. A recent survey found that 80% of all adults over 50 wear glasses for driving. You... (answered by ewatrrr)

Please help with this! I can not figure this out no matter what I do! The Sleep... (answered by Theo)

Please help me solve this;44% OF ADULTS SAY CASHEWS ARE THEIR FAVORITE KIND OF NUT. YOU... (answered by stanbon)

Can you help me with this question please. Data on college graduates' employment... (answered by ikleyn)

A recent study shows that the average male will spend: 141,288 hours sleeping, 85,725... (answered by chessace)

Please you help me solve these problems. How do you know, Can you write everything that... (answered by stanbon)