Question

can you please solve for 1 and 2 following the instructions given

Calculator Questions. Use a calculator for the following questions and show work. Several questions require you to select a distribution that best models the situation. Please state why you have selected the distribution you are using. You may use Excel/Minitab to verify answers. 1. A university operates a flu clinic on campus to diagnose students and refer them to appropriate care. Today, at the height of flu season, the incidence rate is estimated at 20%. a. There are 30 students with appointments today. What is the probability that exactly 5 students have the flu? b. What is the probability that there are 10 students in a row who do not have flu? 2. In a fiber optic cable fabrication facility, one of the critical quality metrics is the number of faults per 1,000 ft of cable. The historical fault rate is 0.7 faults per 1,000 ft. a. What is the probability that a randomly chosen 1,000 ft segment of cable will have at least 1 fault? b. The company is going to change the standard length of cable used to report fault statistics from 1,000 feet to 500 feet. What is the probability that a cable segment of 500 ft will have zero faults?

Answer 1

We would be doing Q1 here (all parts)

Q1) a) The number of students who have the flu out of the 30 appointments is modelled here as:

X ~ Bin(n = 30, p=0.2)

Probability that exactly 5 have the flu is computed here as:

30 P(X = 5) = 0.250.825 = 0.1723

Therefore 0.1723 is the required probability here.

b) Probability that there are 10 students in a row who do not have the flu is computed here as:

= (1 - 0.2)*(1 - 0.2)*..... 10 times

= 0.8¹⁰

= 0.1074

Therefore 0.1074 is the required probability here.