Suppose a bag contains many marbles, 50% of which are white. You draw 9 marbles from the bag with replacement. (a) Find the probability that you draw exactly 4 white marbles. 0.13 0.246 0.538 0.719 (b) Find the expected value of the number of white marbles. 2.04 4.5 6.62 7.09

Suppose a bag contains many marbles, 50% of which are white. You draw 9 marbles from the bag with replacement. (a) Find the probability that you draw exactly 4 white marbles. 0.13 0.246 0.538 0.719 (b) Find the expected value of the number of white marbles. 2.04 4.5 6.62 7.09

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Suppose a bag contains many marbles, 50% of which are white. You draw 9 marbles from the bag with replacement.
(a) Find the probability that you draw exactly 4 white marbles.
0.13
0.246
0.538
0.719
(b) Find the expected value of the number of white marbles.
2.04
4.5
6.62
7.09

Expert Solution

Step 1: Given

Proportion of white marbles =50% (P=0.5)

n=9

The marbles are drawn with replacement which means probability of getting white will remain same in every draw,

therefore we can use binomial distribution.

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