Question

ryan is performing data entry for an insurance company by taking handwritten records and entering them into the database. Thus far, 15.6% of the handwritten records have had missing data that prevented them from being entered into the database. If Bryan takes 10 handwritten records, what is the probability that at most three records will be incomplete? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Answer 1

Probability = 0.943

Explanation:

15.6% = 0.156(probability of handwritten records with missing data)

X = random variable denoting number of handwritten records whose data are missing

Values of x = 0,1...10

Using the binomial distribution

X~binomial (10,0.156)

P(x<=3)

P(x= 0)+p(x=1)+...+p(x=3)

10C0(0.156)⁰(1-0.156)¹⁰+10C1(0.156)¹(1-0.156)⁹+10C2(0.156)²(1-0.156)⁸+10C3(0.156)³(1-0.156)⁷

This gives a probability of 0.943.