The following table lists the probability distribution of the number of shoplifting incidents that occur during a day at a certain shopping center:

Number of shoplifting incidents 0 1 2 3 4
Probability 0.1 0.2 0.25 0.3 0.15


Determine the variance for the number of shoplifting incidents during a given day.

1.46


4.1


6.3


1.2083


2.0248

1 points
QUESTION 16

A carrier of tuberculosis has a 20% chance of passing the disease on to anyone with whom he comes into close contact who has had no prior exposure. During the course of a day, he comes into contact with 10 such individuals. Which event will be considered a success in this case?


A carrier of tuberculosis.


Person without previous exposure contracts the disease.


Exposure.


Contact with individuals.


None of the above.

1 points
QUESTION 17

The distribution of the binomial random variable (X) has the following parameters p = 0.3 and n = 9. Determine.


0.1715


0.9012


0.7297


0.4628


0.3

1 points
QUESTION 18

A certain type of new business succeeds 60% of the time. Suppose that three such businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). The probability that exactly one business succeeds is?


0.3624


0.0756


0.2880


0.4182

1 points
QUESTION 19

The distribution of the binomial random variable (X) has the following parameters p = 0.3 and n = 9. Determine.


0.0253


0.9012


0.7297


0.2703


0.7052

1 points
QUESTION 20

If a Poisson random variable X has an average of 8.8 find:


0.9122


0.8695


0.9985


0.8124


0.0754

1 points

0.0953