Chapter 13: Q53. (page 708)

Find each probability if a coin is tossed 4 times. (Lesson 12-8)
P(exactly 2 heads).

Short Answer

Expert verified

P(exactly 2 heads) = 0.375.

Step by step solution

Step 1. Given

A coin is tossed 4 times.

Step 2. To determine

P(exactly 2 heads).

Step 3. Calculation

Total number of tosses = n = 4

Probability of getting a head in each toss = p = 0.5

The number of heads = X = 2.

X follows a binomial distribution with n = 4 and p = 0.5.

So,

$\begin{array}{l} P (exactly2heads) \\ = P (X = 2) \\ = (\begin{matrix} 4 \\ 2 \end{matrix}) {(0.5)}^{2} {(1 - 0.5)}^{4 - 2} \\ = 0.375 \end{array}$

Hence, P(exactly 2 heads) = 0.375.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find each probability if a coin is tossed 4 times. (Lesson 12-8)
P(exactly 2 heads).

Short Answer

Step by step solution

Step 1. Given

Step 2. To determine

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

Find each probability if a coin is tossed 4 times. (Lesson 12-8)P(exactly 2 heads).

Short Answer

Step by step solution

Step 1. Given

Step 2. To determine

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

Find each probability if a coin is tossed 4 times. (Lesson 12-8)
P(exactly 2 heads).