Overview
1. In a recent survey conducted in the town of Kolwezi, forty-two percents of respondents indicated that they would prefer to purchase their vehicles remotely, using delivery platforms such as “WeRComing2 U” instead of going to a car dealership. They reason that going in in person prompts sleezy dealers to add unnecessary costly services, especially those bumper-to-bumper coverages most do not usually need. If ordering car remotely follows a binomial distribution pattern. You randomly select 12 car buyers. Find the probability that the number of customers who prefer to shop remotely is:
- Exactly 6 (Show all work – Formula and calculations)
- At most 2 (Show all work – Formula and calculations)
- Between 2 and 5 inclusive (Show all work – Formula and calculations)
- More than 6(Please think here)
2. Considering the table of a random variable W and corresponding probabilities:
W P(W)
0 .08
1 .12
2 σ
3 .19
4 .15
5 .08
(Show all work – Formula and calculations)