A man claims to have extrasensory perception. As a test, a fair coin is flipped 10 times and the man is asked to predict the outcome in advance. He gets 7 out of 10 correct. What is the probability that he would have done at least this well if he had no ESP?

A man

hansel

Answered by Aaron 2 years ago

If he does *at least this well* then he will get 7 out of 10 correct or 8, 9 or 10 out of 10 correct. So in the case where we have a certain probability of success or failure we use the binomial theorem and get the following,

$$C(10,7)(1/2)^7(1/2)^3 + C(10,8)(1/2)^8(1/2)^2+C(10,9)(1/2)^9(1/2)^1+C(10,10)(1/2)^{10}(1/2)^0$$

$$\approx 0.1719$$

or he has a 17.19% probability of doing at least that well.

**Excerpt from file: **Assignment4:IMCandCustomerSatisfaction DueWeek8andworth200points Continuingtobuildyourmarketingplan,thisassignmentfocusesonIMCandcustomer satisfactionforyourproductandservice. Writeafourtofive(45)pagepaperinwhichyou: 1.Discussthecompanysadvertisingstrategyandhowitalignswithitsmarketinggoals....

**Filename: **
MKT 500 Assignment 4.docx

**Filesize: **
< 2 MB

**Downloads: **
3

**Print Length: **
6 Pages/Slides

**Words: **
107

Surround your text in `*italics*`

or `**bold**`

, to write a math equation use, for example, `$x^2+2x+1=0$`

or `$$\beta^2-1=0$$`

Stats

Views: 42

Asked: 2 years ago