In a class it has been found that 70 of students have Smartp

In a class, it has been found that 70% of students have Smartphone, 40% of students
have Tablet and 80% of those students have Tablet also have Smartphone.
(i) Determine the probability that a student has both Smartphone and Tablet.

(ii) Determine the probability that a student has Tablet given that the student
already has Smartphone.

Assume the average defective rate of a production process is 1%. Determine the
probability of either two defectives or three defectives in a sample size of 50.

Solution

i. 0.56

ii. 0.8

Using binomial distribution n=50, x=2&3, p= 0.01

P(x=2)+p(x=3)=0.0878391