Question

1. Ink Inc., a publishing firm, offers its 869 employees a cafeteria approach to benefits, in which employees can enroll in the benefit plan of their choice. Seven hundred thirteen employees have health insurance, 525 have dental insurance, and 485 have both health and dental insurance. (Enter your answers as fractions.)

(a) What is the probability that one of the employees has either health or dental insurance?

(b) What is the probability that one of the employees has health insurance but not dental insurance?

2. A supermarket polled 1,000 customers regarding the size of their bill. The results are given in the table below.

Size of Bill	Number of Customers
below $20.00	201
$20.00–$39.99	111
$40.00–$59.99	188
$60.00–$79.99	174
$80.00–$99.99	194
$100.00 or above	132

Use probability rules (when appropriate) to find the relative frequency with which a customer's bill is as stated. (Enter your answers as fractions.)

(a) between $20.00 and $79.99


(b) not between $20.00 and $79.99

Will thumbs up!!!

Answer 1

Salmi / PE) - nie) one of the = P(AUB) 485 = 753 Let A = have health insurance B - have dental infurance Giveni n(s) = 869 M(A1-713 WB) = 525 n (ANB) = 485 his (a) Probability that employees has either health of dental insusance = A (A) + P (B) – P(AMB) 713 525 869 869 869 And. 869 (b) Probability that one of the employed has health insurance but not dental insurance =P(ANB) P(A) - P(ANB) 713 485 228 And 869 869 869 Sella, nis) = poco Size of Bill Event Number of customers (6) Relative frequency with below $20.00 which customers bill $20.00 - $39.99 B is between $20.00 and $79.99 $40.00-$59.991c 188 = PIB) + PC) + PD $60000 - $79.39|D 174 $80.00-$99.99 | E 174 194 Toooo $ 100.00 or above 132 473 Total A + 188 + Tooro loco (b) Relative frequency with which a cultomer's bill is not between $20.00 and $79.99 [.: PE) + Plo PĒJ = 1] 527 -1- 473