Given a random sample size of n = 900 from a bi- nomial probability distribution with P = 0.10 do the following:

Akbari.farahnaz

Akbari.farahnaz

Answered question

2022-01-04

  1. Given a random sample size of n = 900 from a bi- nomial probability distribution with P = 0.10 do the following:

    1. Find the probability that the number of successes is greater than 110.

    2. Find the probability that the number of successes is fewer than 53.

    3. Find the probability that the number of successes is between 55 and 120.

    4. With probability 0.10, the number of successes is fewer than how many?

    5. Withprobability0.08,thenumberofsuccessesis greater than how many?

Answer & Explanation

star233

star233

Skilled2022-02-09Added 403 answers

Since we only answer up to 3 sub-parts, we’ll answer the first 3. 
Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

Let us assume X=the random variable

Given that X follows a binomial distribution with n=900 and p=0.10

a) The probability that the number of successes is greater than 110 is:

P(x>110)

=1P(X110)

=1binomcdf(900,0.10,110)

=10.98685285379

=0.01314714621

Answer(a): 0.01314714621

b) The probability that the number of successes is fewer than 53 is:

P(X<53)

=P(X52)

=binomcdf(900,0.10,52)

=0.00000393759

Answer(b):  0.00000393759

c) The probability that the number of successes is between 55 and 120 is:

P(55X120)

=P(X120)P(X<55)

=P(X120)P(X54)

=binomcdf(900,0.10,120)binomcdf(900,0.10,54)=0.999430524610.00001279394

=0.99941773067

Answer(c):  0.99941773067

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