A company manufactures a type of candy that it puts on sale in boxes containing between 28 and 32 units. According to the following probability distribution: X P[X = x] 28 29 0.08 0.40 30 0.40 31 0.10 32 0.02 Knowing that the cost of making a box with candies has a fixed part of 0.10 euros and another variable of 0.05 euros per candy. Calculate the expected cost and its variance.
A company manufactures a type of candy that it puts on sale in boxes containing between 28 and 32 units. According to the following probability distribution: X P[X = x] 28 29 0.08 0.40 30 0.40 31 0.10 32 0.02 Knowing that the cost of making a box with candies has a fixed part of 0.10 euros and another variable of 0.05 euros per candy. Calculate the expected cost and its variance.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
100%
![A company manufactures a type of candy that
it puts on sale in boxes containing between 28
and 32 units. According to the following
probability distribution:
X
P[x = x]
28
29
0.08 0.40
30
0.40
31
0.10
32
0.02
Knowing that the cost of making a box with
candies has a fixed part of 0.10 euros and
another variable of 0.05 euros per candy.
Calculate the expected cost and its variance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2f865d3-b4d2-4efe-892d-cb0d96699b60%2F649a8f1a-f0cb-473e-b4bb-61c58e010309%2Fencravs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company manufactures a type of candy that
it puts on sale in boxes containing between 28
and 32 units. According to the following
probability distribution:
X
P[x = x]
28
29
0.08 0.40
30
0.40
31
0.10
32
0.02
Knowing that the cost of making a box with
candies has a fixed part of 0.10 euros and
another variable of 0.05 euros per candy.
Calculate the expected cost and its variance.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 6 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON