Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

The sample space of a random experiment is {a, b, c, d, e, f}, and each outcome is equally likely. A random variable is defined as follows:
Outcome a b c d e f
X 0 0 1.4 1.4 2 3
Determine the probability mass function of X. Use the probability mass function to determine the following probabilities.
A) P(X = 1.6).B) P(0.5 < X < 2.7).C) P(X > 3).D) P(0 ≤ X < 2).E) P(X = 0 or X = 2).

Sagot :

fichoh

Answer:

X ____ : 0 ______ 1.4 _____ 2 _____ 3

P(X) ___ 1/3 _____ 1/3 _____ 1/6 ____ 1/6 ;

0 ;

1/2 ;

0 ;

2/3 ;

1/2

Step-by-step explanation:

Each has the same probability ;

X ___ : 0 ___ 0 ___ 1.4 ____1.4 ___ 2 ___ 3

P(x) __ 1/6 __1/6 ___ 1/6 ___ 1/6 ___1/6 __ 1/6

Probability : required outcome / Total possible outcomes

X = 0

P(x = 0) = 1/6 + 1/6 = 2/6 = 1/3

X = 1.4

P(x = 1.4) = 1/6 + 1/6 = 2/6 = 1/3

X = 2

P(X) = 1/6

X = 3

P(x) = 1/6

Hence ;

X ____ : 0 ______ 1.4 _____ 2 _____ 3

P(X) ___ 1/3 _____ 1/3 _____ 1/6 ____ 1/6

A) P(X = 1.6).B) P(0.5 < X < 2.7).C) P(X > 3).D) P(0 ≤ X < 2).E) P(X = 0 or X = 2).

A.)

P(X = 1.6) = 0

B.)

P(0.5 < X < 2.7) = p(x = 1.4) + p(x = 2)

P(0.5 < X < 2.7) = 1/3 + 1/6 = (2 + 1) / 6 = 3/6 = 1/2

C.)

P(X > 3) = 0

D.)

P(0 ≤ X < 2) = P(0) + P(1.4)

P(0) + P(1.4) = 1/3 + 1/3 = 2/3

E.)

P(X = 0 or X = 2) = 1/3 + 1/6 = (2 + 1)/6 = 3/6 = 1/2

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.