Axline Computers manufactures personal computers at two plants, one in Texas and

Question

Axline Computers manufactures personal computers at two plants, one in Texas and the other in Hawaii. The Texas plant has 60 employees; the Hawaii plant has 30. A random sample of 10 employees is to be asked to fill out a benefits questionnaire. Round your answers to four decimal places. a. What is the probability that none of the employees in the sample work at the plant in Hawaii? b. What is the probability that 1 of the employees in the sample works at the plant in Hawaii? c. What is the probability that 2 or more of the employees in the sample work at the plant in Hawaii? d. What is the probability that 9 of the employees in the sample work at the plant in Texas?

Explanation / Answer

The Texas plant has 60 employees

The Hawaii plant has 30 employees

Total employee = 60 + 30 = 90

a. What is the probability that none of the employees in the sample work at the plant in Hawaii?

Ans -

=( 30C0 * 60C10 ) / 90C10

= 0.01318

b. What is the probability that 1 of the employees in the sample works at the plant in Hawaii?

Ans -

= ( 30C1 * 60C9 ) / 90C10

= 0.07753

c. What is the probability that 2 or more of the employees in the sample work at the plant in Hawaii?

Ans -

P(2 or more of the employees in the sample work at the plant in Hawaii )

= 1 - P( less than two employess in the sample work at the plant in Hawaii )

=1 - ( Non of employee at the plant hawaii or one employee at the plantHawaii )

= 1 - (0.01318 + 0.07753 )

= 1 - 0.09071

= 0.90929

d. What is the probability that 9 of the employees in the sample work at the plant in Texas?

Ans -

= ( 30C1 * 60C9 ) / 90C10

= 0.07753

{ Here we use combination formula nCk . Using Excel, = COMBIN(number(N), number_chosen(K)) }

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