11. In a neighborhood of 55 homes, 25 have pets. Suppose that 6 homes are selected at random. The random variable X represents the number of homes in the sample that have pets. a. Calculate the probability distribution for all 6 homes. Round your final answers to 4 decimal places. X Show your work in the space below P(X = x)

11. In a neighborhood of 55 homes, 25 have pets. Suppose that 6 homes are selected at random. The random variable X represents the number of homes in the sample that have pets. a. Calculate the probability distribution for all 6 homes. Round your final answers to 4 decimal places. X Show your work in the space below P(X = x)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Pls help ASAP. Pls show all work. Pls do both of the asked questions pls i BEG.

11. In a neighborhood of 55 homes, 25 have pets. Suppose that 6 homes are selected at random. The
random variable X represents the number of homes in the sample that have pets.
a.
Calculate the probability distribution for all 6 homes. Round your final answers to 4
decimal places.
Show your work in the space below
P(X = x)
X

b. What is the probability of selecting 5 homes with a pet?
C. What is the probability of selecting less than 4 homes with a pet?
d. What is the probability of selecting at least 3 homes with a pet?
e. What is the number of homes with pets that you expect to select?

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