Question 2 a) There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be the number of cars parked in the parking lot at midday. The probability distribution of X is given by x 0 1 2 3 P(X = x) 0.1 0.25 a 0.35 (i) What is the value of a? (ii) (iii) What is the probability that there will be at most 1 car in the parking lot? Calculate the expected number of cars in the parking lot at midday [1] [2] (iv) Calculate the variance. [3]
Question 2 a) There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be the number of cars parked in the parking lot at midday. The probability distribution of X is given by x 0 1 2 3 P(X = x) 0.1 0.25 a 0.35 (i) What is the value of a? (ii) (iii) What is the probability that there will be at most 1 car in the parking lot? Calculate the expected number of cars in the parking lot at midday [1] [2] (iv) Calculate the variance. [3]
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 1E
Related questions
Question
![Question 2
a) There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be
the number of cars parked in the parking lot at midday. The probability distribution of X is
given by
x
0
1
2
3
P(X = x)
0.1
0.25
a
0.35
(i)
What is the value of a?
(ii)
(iii)
What is the probability that there will be at most 1 car in the parking lot?
Calculate the expected number of cars in the parking lot at midday
[1]
[2]
(iv)
Calculate the variance.
[3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1dea6b64-23b9-4570-a9fa-952524e896fb%2F97a68f8e-af23-4854-b141-787421b993b2%2Fe4t3jnb_processed.png&w=3840&q=75)
Transcribed Image Text:Question 2
a) There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be
the number of cars parked in the parking lot at midday. The probability distribution of X is
given by
x
0
1
2
3
P(X = x)
0.1
0.25
a
0.35
(i)
What is the value of a?
(ii)
(iii)
What is the probability that there will be at most 1 car in the parking lot?
Calculate the expected number of cars in the parking lot at midday
[1]
[2]
(iv)
Calculate the variance.
[3]
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 1 steps
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
