2. A limousine service has three cars (sedans) which it hires out by the day. The number of requests for these sedans, per day, is a Poisson random variable, (X), with mean 1.5. a. Complete the following Probability Distribution Table. Report your probabilities to 4 dp. P(X=x) b. What is the probability that the firm is able to meet the demand for its cars? c. What is the probability of at least one car requested on a randomly selected day? d. Graph the probability distribution found in (a) and describe its shape. XO1234567

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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2. A limousine service has three cars (sedans) which it hires out by the day. The
number of requests for these sedans, per day, is a Poisson random variable, (X),
with mean 1.5.
a. Complete the following Probability Distribution Table. Report your
probabilities to 4 dp.
P(X=x)
4
b.
What is the probability that the firm is able to meet the demand for its
cars?
c. What is the probability of at least one car requested on a randomly
selected day?
d. Graph the probability distribution found in (a) and describe its shape.
1.5'c15
= 6, 2231
01
= 0,3347
2.
= 0.2510
21
1.5 e5
31
= 0.1285
1,5 e
31-
= 0.04706
41
= 0.01411
51.
6.
6.
1.3015
0.0003529
l0.0035
1.515
= 0.000 S29
0.0008
x0123 567
Transcribed Image Text:2. A limousine service has three cars (sedans) which it hires out by the day. The number of requests for these sedans, per day, is a Poisson random variable, (X), with mean 1.5. a. Complete the following Probability Distribution Table. Report your probabilities to 4 dp. P(X=x) 4 b. What is the probability that the firm is able to meet the demand for its cars? c. What is the probability of at least one car requested on a randomly selected day? d. Graph the probability distribution found in (a) and describe its shape. 1.5'c15 = 6, 2231 01 = 0,3347 2. = 0.2510 21 1.5 e5 31 = 0.1285 1,5 e 31- = 0.04706 41 = 0.01411 51. 6. 6. 1.3015 0.0003529 l0.0035 1.515 = 0.000 S29 0.0008 x0123 567
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