Question

Bag	Blue	Orange	Green	Yellow	Red	Brown	Total Number of Candies
1	9	13	14	10	7	7	60
2	13	10	6	9	9	8	55
3	13	12	4	10	9	6	54
4	16	13	8	6	6	8	57
5	10	10	12	5	15	4	56
6	9	18	3	6	12	12	60
7	11	13	6	15	8	6	59
8	12	18	5	9	6	5	55
9	12	10	8	15	10	1	56
10	12	14	8	12	7	9	62
11	11	10	9	11	8	8	57
12	13	11	11	7	10	5	57
13	10	15	7	10	8	8	58
14	13	14	6	8	8	5	54
15	10	14	5	6	13	10	58
16	15	14	5	8	5	10	57
17	11	16	9	8	5	9	58
18	14	9	8	7	9	6	53
19	13	7	8	8	9	8	53
20	10	10	7	10	11	11	59
21	8	7	7	13	14	10	59
22	8	11	9	10	5	11	54
23	7	8	9	8	8	13	53
24	10	11	6	7	12	10	56
25	9	13	7	8	9	8	54
26	10	6	13	9	9	8	55
27	10	12	9	8	10	7	56
28	11	12	7	12	10	8	60
29	9	14	7	9	8	6	53
30	10	10	7	10	11	11	59

1. Assume the total number of candies is normally distributed, calculate the probability that a randomly sampled bag has at least 55 candies in a bag.

2. If a random sample of 50 bags is selected, find the probability that the mean number of candies in a bag is at least 56 candies.  Assume the total number of candies is normally distributed.

3. Assume the total number of candies is normally distributed, find a 95% confidence interval for the mean total number of candies.

4. Construct a probability distribution for the colors of the M&M Minis^®candies sample:

Color               Probability

Blue

Orange

Green

Yellow

Red

Brown

Answer 1

Note:-

As HOMEWORKLIB RULES rule,I have answered 3 parts not answered last part because of little bit confusion.Please don't give thumb down.

Thank you.