# 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.)

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

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

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

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

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

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

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

How do you write 1.75 as a fraction

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

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.

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

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

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

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

The range is all the second values or ys

[-7, -1, 0, 2, 8]

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

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

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?