A local grocery store has asked you to examine the probability of choosing a product based on the height of the shelf where the product is placed. The random variable X is the height of the shelf from the floor. The customers' choice of products is defined by the probability distribution below. Complete parts (a) through (c). Height(x) Probability (Px) 0-20 20-40 40-60 60-80 80-100 0.08 0.11 0.21 0.37 0.23 a. What is the cumulative probability distribution of X? Calculate the cumulative probability distribution, F(x). Assume that the class intervals for the height are represented by variable X where X ranges from 1 to 5 for the 20 cm intervals starting at 0-20 cm through 80-100 cm, respectively. (Type integers or decimals.) X 1 0.08 Probability (Px) F(x) 3 2 0.11 0.21 4 0.37 5 0.23 M

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 4E
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A local grocery store has asked you to examine the probability of choosing a product based on the height of the shelf
where the product is placed. The random variable X is the height of the shelf from the floor. The customers' choice of
products is defined by the probability distribution below. Complete parts (a) through (c).
Height(x)
Probability (Px) 0.08
0-20 20-40 40-60
0.11 0.21
(Type integers or decimals.)
X
1
0.08
■
Probability (Px)
F(x)
a. What is the cumulative probability distribution of X?
Calculate the cumulative probability distribution, F(x). Assume that the class intervals for the height are represented
by variable X where X ranges from 1 to 5 for the 20 cm intervals starting at 0-20 cm through 80-100 cm, respectively.
2
0.11
60-80
0.37
3
0.21
XX
80-100
0.23
4
0.37
5
0.23
Transcribed Image Text:A local grocery store has asked you to examine the probability of choosing a product based on the height of the shelf where the product is placed. The random variable X is the height of the shelf from the floor. The customers' choice of products is defined by the probability distribution below. Complete parts (a) through (c). Height(x) Probability (Px) 0.08 0-20 20-40 40-60 0.11 0.21 (Type integers or decimals.) X 1 0.08 ■ Probability (Px) F(x) a. What is the cumulative probability distribution of X? Calculate the cumulative probability distribution, F(x). Assume that the class intervals for the height are represented by variable X where X ranges from 1 to 5 for the 20 cm intervals starting at 0-20 cm through 80-100 cm, respectively. 2 0.11 60-80 0.37 3 0.21 XX 80-100 0.23 4 0.37 5 0.23
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