(a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of events students take part are independent. In a group of 6 probability that exactly 4 students join at least 2 events?
(a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of events students take part are independent. In a group of 6 probability that exactly 4 students join at least 2 events?
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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Question
![In a school sports day, each student is required to join at least one event. The following table represents the
probability distribution function of the number of events (X) a student takes part in the sports day.
1
3
4.
P(X=x)
0.25
0.375
1.5k
k
0.05
(a) What is the value of k?
(b) Find E(X) and o (X).
(c) Suppose the number of events students take part are independent. In a group of 6 students, what is the
probability that exactly 4 students join at least 2 events?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffee2c670-8220-459e-acce-7edba76d959d%2Fb7ac3794-59ae-4f8e-99da-02314197b3a0%2F75rntm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a school sports day, each student is required to join at least one event. The following table represents the
probability distribution function of the number of events (X) a student takes part in the sports day.
1
3
4.
P(X=x)
0.25
0.375
1.5k
k
0.05
(a) What is the value of k?
(b) Find E(X) and o (X).
(c) Suppose the number of events students take part are independent. In a group of 6 students, what is the
probability that exactly 4 students join at least 2 events?
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