Let x denote the time (in seconds) necessary for an individual to react to a certain stimulus. Suppose the probability distribution of x is specified by the accompanying density curve. Density X (a) What is the height of the density curve above x = 1? (Hint: total area= 1.) 1 X (b) What is the probability that the reaction time exceeds 0.5 sec? (Hint: See Example 6.9.) 0.25 X (c) What is the probability that the reaction time is at most 0.65 sec? 0.325

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 31E
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Let x denote the time (in seconds) necessary for an individual to react to a certain stimulus. Suppose the probability distribution of x is specified by the accompanying density curve.
Density
0
1
X
(a) What is the height of the density curve above x = 1? (Hint: total area =
1
1.)
(b) What is the probability that the reaction time exceeds 0.5 sec? (Hint: See Example 6.9.)
0.25
(c) What is the probability that the reaction time is at most 0.65 sec?
0.325
Transcribed Image Text:Let x denote the time (in seconds) necessary for an individual to react to a certain stimulus. Suppose the probability distribution of x is specified by the accompanying density curve. Density 0 1 X (a) What is the height of the density curve above x = 1? (Hint: total area = 1 1.) (b) What is the probability that the reaction time exceeds 0.5 sec? (Hint: See Example 6.9.) 0.25 (c) What is the probability that the reaction time is at most 0.65 sec? 0.325
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