x is a binomial random variable. (Give your answers correct to three decimal places.)
(a) Calculate the probability of x for: n = 1, x = 0, p = 0.15
P(x) = Changed: Your submitted answer was incorrect. 0.15 x 0 = 0 .

(b) Calculate the probability of x for: n = 3, x = 3, p = 0.15
P(x) = Incorrect: Your answer is incorrect. . 0.15 x 3 = 0.45

(c) Calculate the probability of x for: n = 5, x = 0, p = 0.8
P(x) = Correct: Your answer is correct. . 0.8 x 0 = 0

(d) Calculate the probability of x for: n = 1, x = 1, p = 0.4
P(x) = Correct: Your answer is correct. . 0.4 x 1 =0.40

(e) Calculate the probability of x for: n = 3, x = 1, p = 0.45
P(x) = Incorrect: Your answer is incorrect. . 0.45 x 1 =0.45

(f) Calculate the probability of x for: n = 6, x = 6, p = 0.25
P(x) = Incorrect: Your answer is incorrect. . 0.25 x 6 = 1.50
This is what I got when I redone them.

1. 👍 0
2. 👎 0
3. 👁 279
1. For a binomial distribution, the outcomes are either 1 (success) or zero (failure).

The probability of success (outcome =1)of EACH step (out of n steps) is p and remains unchanged over the duration of the experiment.

The probability of failure (outcome =0) of EACH step (out of n steps) is q=1-p and remains unchanged over the duration of the experiment.

The probability of r successes in an n-step experiment is given by:
Bin(n,p,x)
=nCx p^x q^(n-x)

where nCx = n!/((n-x)!x!)
and x=number of successes
(a)
n=1, p=0.15, q=0.85
r=0 (0 success)

P(1,0,0.15)
=1C0 0.15^0 0.85^1
=1*1*0.85
=0.85

(b)
n=3, x=3, p=0.15
P(3,3,0.15)
=3C3*0.15^3(0.85)^0
=1*0.15^3*1
=0.03375

The rest of the exercises are similar.
You can attempt them and return for an answer check.

1. 👍 0
2. 👎 0
2. #2 I get a different answer on this one and when I tried yours it was wrong, I got .0675 and when I worked (e). out I get a 0.6075 but that does not look right. (f) 2.25. I had got 2 answers right when I first done it and I did them all the same way and not sure how I am missing them still.

1. 👍 0
2. 👎 0
3. I don't know to which question 0.0675 referred.
Note that:
nCr = n!/[(n-r)!(r!)]

For (e), we have
P(n=3,x=1,p=0.45)
=3C1*0.45^1*(1-0.45)^(3-1)
=3*0.45*0.55^2
=0.408375

(f) probabilities never exceed 1!

P(n=6,x=6,p=0.25)
=6C6*0.25^6*(1-0.25)^(6-6)
=1*0.25^6
=0.000244

1. 👍 0
2. 👎 0
4. Sorry , I worked them out and they are all wrong. I missed b, e, and f.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### STATISTICS

Consider a binomial random variable where the number of trials is 12 and the probability of success on each trial is 0.25. Find the mean and standard deviation of this random variable. I have a mean of 4 and a standard deviation

2. ### Statistics

The number of ships to arrive at a harbor on any given day is a random variable represented by x. The probability distribution of x is as follows. (Give your answers correct to two decimal places.) x 10 11 12 13 14 P(x) 0.37 0.09

3. ### math

A single die is rolled. (a) What is the probability that the number on top is a 3. (Give your answer correct to two decimal places.) (b) What is the probability that the number on top is an odd number. (Give your answer correct to

4. ### Math/Statistics

Three hundred twelve viewers were asked if they were satisfied with TV coverage of a recent disaster. Gender Female Male Satisfied 90 53 Not Satisfied 124 45 (a) Find P(satisfied). (Give your answer correct to two decimal places.)

1. ### Math check

The number of ships to arrive at a harbor on any given day is a random variable represented by x. The probability distribution of x is as follows. (Give your answers correct to two decimal places.) x 10 11 12 13 14 P(x) 0.37 0.09

2. ### Probability

For each of the following statements, determine whether it is true (meaning, always true) or false (meaning, not always true). Here, we assume all random variables are discrete, and that all expectations are well-defined and

3. ### Math check

The middle 69% of a normally distributed population lies between what two standard scores? (Give your answers correct to two decimal places.) 0.69 and 0.31

4. ### Math check

A random sample of size 26 is to be selected from a population that has a mean ì = 46 and a standard deviation ó of 15. (a) This sample of 26 has a mean value of x, which belongs to a sampling distribution. Find the shape of

1. ### Math

Webster Aquatic Center offers various levels of swimming lessons year-round. The March 2005 Monday and Wednesday evening lessons included instructions from Water Babies through Adults. The number in each classification is given in

2. ### Probability

Let X1 , X2 , X3 be i.i.d. Binomial random variables with parameters n=2 and p=1/2 . Define two new random variables Y1 =X1−X3, Y2 =X2−X3. We further introduce indicator random variables Zi∈{0,1} with Zi=1 if and only if

3. ### statistics

The state bridge design engineer has devised a plan to repair North Carolina's 4420 bridges that are currently listed as being in either poor or fair condition. The state has a total of 13,168 bridges. Before the governor will

4. ### Math/Statistics

Consider the following. P(A) = 0.27 and P(B) = 0.36, A and B are mutually exclusive events (a) Find the probability P(A). (Give your answer correct to two decimal places.) (b) Find the probability P(B). (Give your answer correct