MATHEMATICS HIGH SCHOOL

Suppose that you are seated next to a stranger on an airplane and you start discussing various topics such as where you were born (what state or country), what your favorite movie of all time is, your spouse's occupation, and so on. For simplicity, assume that the probability that your details match for any given topic is 1 50 and is independent from one topic to the next. If you discuss 17 topics, how surprising would it be to find that you match on at least one of them? (Round your answer to four decimal places.)

Answers

Answer 1
Answer:

Answer:

0.2907

Step-by-step explanation:

Given that you are seated next to a stranger on an airplane and you start discussing various topics such as where you were born (what state or country), what your favorite movie of all time is, your spouse's occupation, and so on.

Since each topic is independent we find that probability for success in each topic = constant = 1/50 = 0.02

X no of topics that match is binomial with n = 17 and p = 0.02

Required probability

= Probability to find that you match on at least one of them

=

It would not be surprising as probability is reasonably large.


Related Questions

MIDDLE SCHOOL

What is the relationship between ​ 2.57×10^4 ​ and ​ 2.57×10^−1 ​ ? Select from the drop-down menus to correctly complete the statement. A)1000 B)Greater
10,000 Less than
100,000
1,000,000

Answers

Answer:

We have the numbers:

2.57×10^4 and 2.57×10^−1

The first thing we can see is that the first number exponent is 4, and the second number's exponent is -1, so the difference between is of 5.

If we calculate the quotient between the numbers we have:

(2.57×10^4)/( 2.57×10^−1) = (2.57/2.57)*(10^4/10^-1) = 1*10^(4 - (-1)) = 10^5

Then the first number is 10^5 times bigger than the second number, then the first number is 100,000 greater than the second one.

A) 100,000
B) Greater
MIDDLE SCHOOL

Explain how you know 5/8 + 6/10 is greater than 1

Answers

Multiply 5 and 8 by 10 and put back in fraction then 6 and 10 by 8 and put back in fraction then add numerators
MIDDLE SCHOOL

Write an equation that has the same solution as 25= Y - 6 and has Y +7 as it's right side

Answers

Y +7+24-6=25
y+31-6=25
y=25
MIDDLE SCHOOL

How do you write 1.75 as a fraction

Answers

1.75 is One and three-fourths (1 and 3/4) or you can make it an improper fraction so it would be 7/4
The fraction would turn into a mixed number.
1.75 in a fraction is 1 75/100 simplifyed is 1 3/4
MIDDLE SCHOOL

Kendra is considering two different long-distance phone plans. Phone plan A charges a $100 sign-up fee and 3 cents per minute. Phone plan B does not charge a sign-up fee, but it charges 5 cents per minute. Enter the number of minutes where Kendra will pay the same amount for each long distance phone plan.

Answers

Answer:

The number of minutes in a month must be equal to 50 minutes

Step-by-step explanation:

Let

x ---> the number of minutes

we have

Cost Plan A

Cost Plan B

we know that

In order for plan A cost the same than plan B, the following equation must hold true.

cost of plan A = cost of plan B

substitute

solve for x

therefore

The number of minutes in a month must be equal to 50 minutes

MIDDLE SCHOOL

Petra jogs 2 miles in 24 minutes. At this rate, how long would it take her to jog 13 miles?​

Answers

Answer: 156 minutes or 2hour and 6 minutes

Step-by-step explanation:

2 miles           1 miles

----            =  -----            When you cross multiply each side must equal 24

24mins         12 mins

Take the amount of of mins in 1 mile and multiply to the 13 miles.

12 mins x 13 miles = 156 minutes or 2 hours and 6 minutes

MIDDLE SCHOOL

What is the range of the relation, {(2, 8) (-3, -1) (4, -7) (5, 0) (-1, 2)}? create the range for the relation.

Answers

The range is all the second values or ys

[-7, -1, 0, 2, 8]  


COLLEGE

The product of 7 and j is 91 write an equation to represent the following statement

Answers

7(j)=91
j=13 

I wasn't sure whether you wanted this to be solved or just to be put into an equation.
Hello there!

The product of 7 and j is 91 write an equation to represent the following statement

Product of 7 and j: 7j

is 91: = 91

Together, this would be:

7j = 91

To solve this, we must divide 91 by 7

91/7 = 13

So, J = 13

7(13) = 91


I hope I helped!

Let me know if you need anything else!

~ Zoe
MIDDLE SCHOOL

Allison is running a race that is m miles long. She has already run 6 miles. Which expression shows how many miles Allison has left to run?

Answers

M-6 is the expression that shows how far Allison has to run
    An expression that can be used to show how many miles Allison has left to run would be 6-m. Hope this helped :D
Random Questions
Read the excerpt from Suffragists' "Great Demand" Banner. The Smithsonian banner was donated to the Institution by Martin Gilmer Louthan of Konawa, Oklahoma, in honor of his mother, Marie Gilmer Louthan (1891–1954). Louthan came to Washington to stay with her in-laws when her husband was sent overseas to serve in the war. Her father-in-law was the chief of U.S. Capitol Police during the years of Woodrow Wilson’s presidency. According to Smithsonian curator Lisa Kathleen Graddy, "The family’s history has always been that Marie carried this banner in a women’s suffrage march during the years she was in D.C.” She could have carried it with a partner in the effort to surround the White House with a chain of purple, white, and gold banners, or it could have been a headquarters decoration—there’s simply no historical documentation. Graddy can’t help but wonder about the dinner-table conversations that might have occurred between the young suffragist and her father-in-law, who, in his job as police chief, might have been arresting her fellow protesters. Which statements about this excerpt are correct? Check all that apply. The author’s diction creates a shocked tone. The author’s diction creates a relaxed tone. The phrase “family’s history” highlights the emphasis on genealogy research. The phrase “can’t help but wonder” creates a thought-provoking tone. The descriptive details about a “chain of purple, white, and gold banners” allows readers to visualize the item in context.