Question

Asked Nov 5, 2019

1. A random experiment consists of throwing 4 equal coins, if X is the number of tails:

a. Find the probability distribution of X and plot your graph

b. What is the most likely tail number? Which one is the least likely?

c. What is the average number of tails that come out, when throwing the four coins? d. What is the dispersion of X?

Step 1

Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any specific question to be answered then please submit that question only or specify the question number in your message.”

(a)

The outcome for throwing 4 equal coins is,

HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT.

Thus, the total number of outcomes is 16.

The probability distribution of X is,

Step 2

Step by step procedure to plot the graph using MINITAB software is given below:

- Choose
**Graph > Time Series Plot**or**Stat > Time Series > Time Series Plot**. - Choose
**Simple**, and then click**OK**. - In
**Series**, enter P(X). - In
**Time and Scale**, enter**X**under**Stamp**. - Click
**OK**.

Output using the MINITAB software is given below:

Step 3

(b)

From the plot, it is observed that the most likely tail number is 2, because the probability value is greater for X=2 and the least likely is 0 and 4 because the probability value is lesser when compare...

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