Q1) A sales rep for national clothing company makes 4 calls per day. Based on historical records, given probability distribution explains number of successful calls each day:
|
Successful Calls
|
Probability
|
|
0
|
0.10
|
|
1
|
0.30
|
|
2
|
0.30
|
|
3
|
0.20
|
|
4
|
0.10
|
Expected number of successful sales calls per day is:
i) 2.00
ii) 1.15.
iii) 1.90.
iv) 2.50
Q2) Package delivery service claims that no more than 5% of all packages arrive at address late. Supposing that conditions for binomial hold, if sample of size 10 packages is randomly chosen, and 5 percent rate holds, determine the probability that exactly 2 packages in the sample arrive late?
i) 0.0746
ii) 0.9884
iii) 0.2347
iv) 0.0439