A dentist studied the number of cavities filled in all of his patients over the last three years. Let X be the number ofcavities filled in the last three years for a randomly chosen patient. The dentist found that the randomvariable, X, had the probability distribution shown in the table.Number ofCavitiesProbability00.3500.15O 1.491.732.9820.30 0.1530.1540.05Let D be the difference in the number of cavities filled in two randomly selected patients. Assuming that cavities arefilled independently of one another, what is the standard deviation of D?

Given Let X be the number of cavities filled in the last three years for a randomly chosen patient.…

riable, X, had the probability distribution shown in the table. 1 2 TT 0.30 Number of Cavities Probability 0 0 0.15 1.49 0.35 0.15 3 0.15 4 0.0 t D be the difference in the number of cavities filled in two randomly sel ed independently of one another, what is the standard deviation of D?

riable, X, had the probability distribution shown in the table. 1 2 TT 0.30 Number of Cavities Probability 0 0 0.15 1.49 0.35 0.15 3 0.15 4 0.0 t D be the difference in the number of cavities filled in two randomly sel ed independently of one another, what is the standard deviation of D?

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 2E

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Question

A dentist studied the number of cavities filled in all of his patients over the last three years. Let X be the number of
cavities filled in the last three years for a randomly chosen patient. The dentist found that the random
variable, X, had the probability distribution shown in the table.
Number of
Cavities
Probability
0
0.35
0
0.15
O 1.49
1.73
2.98
2
0.30 0.15
3
0.15
4
0.05
Let D be the difference in the number of cavities filled in two randomly selected patients. Assuming that cavities are
filled independently of one another, what is the standard deviation of D?

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