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# Statistics Math Problem Assignmet: Binomial Distribution (Math Problem Sample)

Instructions:

the task was to study information on a wiki page about the binomial distribution and answer questions that followed. the attached paper contains detailed answers to the questions asked

source..Content:

Probability (X=x) = ncx px(1-p)n-x x=0,1,2,…,n

0, elsewhere

Solution

a) the expected value of a discrete random variable is the probability-weighted average of all possible values that can occur. The expected value of a binomial distribution is defined as E(X)=np where n is the number of trials carried out and p the probability of success in each trial.

P=0.3

1-p=0.7

n=6

E(X) =np

=6*0.3

=1.8

The expected value is 1.8 when the probability of obtaining a head in a toss =0.3 and the number of tosses being = 6, and hence the expected number of heads is rounded off to two.(2).

Probability that (x<2) = Probability (x=0) +Probability(x=1)

=6c0 ...

0, elsewhere

Solution

a) the expected value of a discrete random variable is the probability-weighted average of all possible values that can occur. The expected value of a binomial distribution is defined as E(X)=np where n is the number of trials carried out and p the probability of success in each trial.

P=0.3

1-p=0.7

n=6

E(X) =np

=6*0.3

=1.8

The expected value is 1.8 when the probability of obtaining a head in a toss =0.3 and the number of tosses being = 6, and hence the expected number of heads is rounded off to two.(2).

Probability that (x<2) = Probability (x=0) +Probability(x=1)

=6c0 ...

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