I need an answer today if possible- (urgent), thankyou. Binomial Distribution: I

Question

I need an answer today if possible- (urgent), thankyou.

Binomial Distribution:

I have to complete this problem using items (a) through (f)found on page 128 in the textbook. Use SPSS to calculate theBinomial probabilities. Here are is the question.

Prevalence 10%. The prevalenceof a condition in a population is 10%. You take a simplerandom sample of 15 people from this population. Let Xrepresent the number of individuals in the sample with thecondition.

(a)    Describe the distribution X.

(b)     What is the probability of seeing nocases in a sample?

(c)     What is the probability of seeing onecase?

(d)     What is the probability of seeing oneor fewer cases?

(e)     What is the probability of atleast two cases?

(f)      At what number of cases would youstart to believe the assumed prevalence in the population isgreater than 10%?

I have to use this table to help organize my calculations:

Number of

Successes(x)     0      1      2      3      4       5

Pr(X=x)________________________________

Pr(Xx)________________________________

Pr(X>x)*_______________________________

*Pr(X>x) = 1 – Pr(Xx)

Explanation / Answer

Prevalence 10%. The prevalenceof a condition in a population is10%.

You take asimple random sample of 15 people from thispopulation.

Let Xrepresent the number of individuals in the sample with thecondition.

(a)    Describe the distributionX.

         {Binomial}

(b)     What is the probability of seeingno cases in a sample?

         {0.2059}

(c)     What is the probability of seeingone case?

(d)     What is the probability of seeingone or fewer cases?

         {0.549}

(e)     What is the probability of atleast two cases?

         {0.451}

(f)      At what number of cases wouldyou start to believe the assumed prevalence in the population isgreater than 10%?

         {5} ---> {Because Prob(X 5) =0.01272}

Numberof

Successes(x)       0      1       2        3       4       5

Pr(X=x)______ 0.2059 0.3432 0.2669 0.1285 0.04284 0.01047

Pr(Xx)______ 0.2059 0.5491 0.8159 0.9444 0.9873 0.9977

Pr(X>x)______ 0.7941   0.451 0.1841 0.05556 0.01272 0.00225

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