menu
bartleby
search
close search
Hit Return to see all results

Suppose you flip eight fair coins. What is the probability of flipping exactly eight heads?What is the probability of flipping at least four heads?What is the probability of flipping at most seven heads?What is the probability of flipping less than three heads?What is the probability of flipping more than one head?

Question
  1. Suppose you flip eight fair coins.

 

  1. What is the probability of flipping exactly eight heads?
  2. What is the probability of flipping at least four heads?
  3. What is the probability of flipping at most seven heads?
  4. What is the probability of flipping less than three heads?
  5. What is the probability of flipping more than one head?
check_circleAnswer
Step 1

In a coin tossing the probability of getting a head and tail is equal and the corresponding probability of each is equal to ½. Here the eight coin are tossed. Let X be the probability of getting heads. Thus, it follows a binomial distribution with n=8 and p=1/2. That is,

8-x
Р(х - х) -
,x 0,1,2,3,4,5,6,7,8
help_outline

Image Transcriptionclose

8-x Р(х - х) - ,x 0,1,2,3,4,5,6,7,8

fullscreen
Step 2

1.Finding the probability of flipping exactly eight heads:

The probability of flipping exactly eight heads is 0.0039 and is obtained as follows:

8-8 [EXCEL formulae:
Р(х -8)-D
BINOM.DIST(8,8,0.5, FALSE)
2
=0.0039
help_outline

Image Transcriptionclose

8-8 [EXCEL formulae: Р(х -8)-D BINOM.DIST(8,8,0.5, FALSE) 2 =0.0039

fullscreen
Step 3

2.Finding the probability of flipping at least 4 heads:

The probability of flipping exactly...

P(X24) 1-P(X<4)
EXCEL formulae:
=1-P(XS3)
BINOMDIST(3,8,0.5, TRUE)
=1-0.3632
=0.6367
help_outline

Image Transcriptionclose

P(X24) 1-P(X<4) EXCEL formulae: =1-P(XS3) BINOMDIST(3,8,0.5, TRUE) =1-0.3632 =0.6367

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: In our Brockport sample of college students, the greatest number of weekend drinks observed was 6.00...

A: Z score for 6 weekend drinks is,

question_answer

Q: Please give step by step in TI 84

A: Consider X to be the random variable, defined as transformed ratio of the return rates that follows ...

question_answer

Q: I'm having trouble with probabilities. To be more specific it starts with the three terms of 1) Actu...

A: In probabilityodds against is given by

question_answer

Q: You are testing the null hypothesis µ=55 versus the two tailed alternative. You fail to reject the n...

A: It is given that,Null Hypothesis : µ = 55Alternative hypothesis : µ ≠ 55

question_answer

Q: What percentage of z-scores in the standard normal distribution are greater than z = -.61?

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is ...

question_answer

Q: what is variance? How do you calculate variance?

A: Variance:Variance is the average of squared difference of sample points from their mean. It is a mea...

question_answer

Q: In Problems 21 and 22, (a) construct a discrete probability distribution for the random variable X [...

A: Given data and calculation for probability, mean and standard deviation is shown below

question_answer

Q: The total cholesterol levels for women aged 20 to 30 years are normally distributed with µ=190 mg/dl...

A: The provided information is:

question_answer

Q: You have 3 quarters and 4 dimes in your pocket. You draw two out at random. What is the expected val...

A: The value of 1 quarter is 25 cents and 1 dime is 10 cents.It is mentioned that two coins are drawn r...

Sorry about that. What wasn’t helpful?