Mathematics, 23.09.2019 18:00 cl6205071

The odds of an individual getting struck by lightening in one year are roughly 1 in a million; for this question assume this probability is exactly that ratio: 10−6 . in a randomly chosen set of eleven people, what are the odds that exactly 2 of them are hit by lightening in a given year? what is the correct probability distribution to use to answer this question? why is this the correct choice of probability distribution?

Answers: 3

Show answers

Answers

Answer from: jaheimnorman590

There is a $5*10^{-9}$ % probability that exactly 2 of them are hit by lightening in a given year

The correct probability distribution to solve this problem is the binomial probability.

This is exact the type of problem that the binomial probability is used, when we want to find the probability of a exact number of events happening in a number of trials.

Step-by-step explanation:

Here we use the binomial probability.

For the binomial probability calculus we have these following parameters.

The number of repeated trials

The desired number of sucesses.

The probability of success on each individual trial.

The probability of exactly x sucesses on n repeated trials is given by:

$P = C_{n,x}.p^{x}.(1 - p)^{n-x}$

In which $C_{n,x}$ is the combination of the number of repeated trials and the desired number of sucesses. The combination formula is given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Here we have:

Sample of eleven people, so n = 11

Exactly two of them being hit, so x = 2

$p = 10^{-6}$

The probability that exactly two people are hit by a lightning is:

$P = C_{n,x}.p^{x}.(1 - p)^{n-x}$

$P = C_{11,2}.(10^{-6})^{2}.(1 - 10^{-6})^{9}$

$P = 55.(10^{-6})^{2}.(1 - 10^{-6})^{9}$

$P = 5*10^{-11}$

Multiplying by 100, to write in percent notation.

There is a $5*10^{-9}$ % probability that exactly 2 of them are hit by lightening in a given year

Answer from: Quest

It’s hard to understand what you put.. can you show a picture ?

Answer from: Quest

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.