   Chapter 14.CR, Problem 46E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 43-46 ■ Binomial Probability These exercises involve binomial probability.Unbalanced Coin An unbalanced coin has probability 0.7 of showing a "heads" when tossed. The coin is tossed four times. Make a table of the probability distribution for the number of heads. Numberof heads Probability 01234

To determine

To make:

A table of the probability distribution for the number of heads if unbalanced Coin has probability 0.7 of showing a "heads" when tossed.

Explanation

Given:

The probability of heads of unbalanced toss is 0.7

The number of trail is 4

Approach:

A binomial experiment is one that has two possible outcomes, S and F (“success “ and “failure”). If

P(S)=p

And

P(F)=q=1p

Therefore, The probability of tails of unbalanced toss is 10.7=0.3

Then the probability of getting exactly r successes in n trials of the experiment is

P(rsuccessesinntrials)=C(n,r)prqnr

Calculation:

 Number of heads probability 0 (0.3)(0.3)(0.3)(0

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