Question

Suppose that you randomly selected 22 adults. If 22% of the population are smokers, what is the probability that a) all 22 are not smokers? Round this probability to four decimal places. .0042 b) exactly 4 smoke? Round this probability to four decimal places. .1957 c) exactly 8 smoke? Round this probability to four decimal places. .0541 d) at least 4 smoke? Round this probability to four decimal places. e) more than 4 smoke? Round this probability to four decimal places. f) How many of the 22 people would you expect to smoke? Round to four decimal places.

          Suppose that you randomly selected 22 adults. If 22% of the population are smokers, what is the probability that
a) all 22 are not smokers? Round this probability to four decimal places.
.0042
b) exactly 4 smoke? Round this probability to four decimal places.
.1957
c) exactly 8 smoke? Round this probability to four decimal places.
.0541
d) at least 4 smoke? Round this probability to four decimal places.
e) more than 4 smoke? Round this probability to four decimal places.
f) How many of the 22 people would you expect to smoke? Round to four decimal places.

Show more…

Suppose that you randomly selected 22 adults. If 22% of the population are smokers, what is the probability that
a) all 22 are not smokers? Round this probability to four decimal places.
.0042
b) exactly 4 smoke? Round this probability to four decimal places.
.1957
c) exactly 8 smoke? Round this probability to four decimal places.
.0541
d) at least 4 smoke? Round this probability to four decimal places.
e) more than 4 smoke? Round this probability to four decimal places.
f) How many of the 22 people would you expect to smoke? Round to four decimal places.

Added by Sandra M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ahmet Yavas

10/31/2022

Step 1

- Using the binomial distribution formula: \(P(X = 0) = \binom{22}{0} \times 0.22^0 \times (1-0.22)^{22}\) - \(P(X = 0) = 1 \times 1 \times 0.78^{22} \approx 0.0042\) Show more…

Show all steps

lock

Thanks for your feedback!

Suppose that you randomly selected 22 adults. If 22% of the population are smokers, what is the probability that: a) all 22 are not smokers? Round this probability to four decimal places. 0.0042 b) exactly 4 smoke? Round this probability to four decimal places. 0.1957 c) exactly 8 smoke? Round this probability to four decimal places. 0.0541 d) at least 4 smoke? Round this probability to four decimal places. e) more than 4 smoke? Round this probability to four decimal places. f) How many of the 22 people would you expect to smoke? Round to four decimal places.

Play audio

Feedback

Powered by NumerAI

Ahmet Yavas and 91 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:01 For this question, this is a binormal distribution.

00:04 So the n is equal to the sample size, which is 22, and the probability of success, which denotes the number of smokers here.

00:13 This is 22%.

00:16 The ratio for the smokers, sorry, this is 0 .22.

00:19 So i can define the random variable x here, which is the binomally distributed, 22 and 0 .22.

00:26 Okay, let's get the first one here.

00:29 All 22 are not smokers.

00:31 That means the probability of x is equal to 0, because x denotes the number of smoke here.

00:39 Smoker.

00:41 Smokers.

00:42 So this is, in order to get this one, this is 22, 0 combination times 0 .22 to the power 2 .0 and 1 minus 0 .22 to the power 22, which is 22, two, zero combination is one, and the power zero is also one here.

01:00 This is 0 .78 to the power 22, which is, this is 0 .78 to the power, which is 22.

01:11 That would be 0 .0402, 0 .00 and 42.

01:16 What about for part b? exactly four smoke, so the axe is equal to four, which is, so i'm going to use the binom.

01:26 Pdf here.

01:28 So i can just get easily the answer.

01:30 It's a bin -oan pdf.

01:32 So the n is 22 and the probability of smoker, this one.

01:36 So the x is 4 here.

01:37 Let's get the answer.

01:38 Just press second variance...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later