May anyone give me an example of a independent and an dependent probability word problem about food?

2 answers:

8 0

Bob wants to see which shoes he can give away at a randm pick from a jar

dependent
if he has 20 pairs of shoes and he has 10 friends, what is the probability that at least 1 freiend will get a matching pair if they do not replace the shoe after they picked it

dependent
if he has 20 pairs of shoes and he has 10 friends, what is the probability that at least 1 freiend will get a matching pair if they do not replace the shoe after they picked it and flip a heads on a coin

jonny [76]3 years ago

8 0

Here's a dependent, If you have 8 coins in a bag and 3 are unfair in that have a 60% chance of coming up heads when flipped (the rest are fair). You randomly choose one coin from the bag and flip it 2 times. What's the percent probability of flipping 2 heads?

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Find the value of x.

kiruha [24]

X=5
x=20
x=142
:))))))))

5 0

3 years ago

Read 2 more answers

A metal plate, with constant density 5 g/cm^2, has a shape bounded by the curbe y = x^2 and the x-axis, with 0<= x <= 3 an

nignag [31]

Answer:

a) 45 g

b) greater (make the graph youself on desmos or something)

c) 9/4

Step-by-step explanation:

area = integral 0 to 3 of x^2 dx = [1/3x^3] 0 to 3 = 9

mass = density * area = 5 * 9 = 45 grams

area = y*deltax = x^2*deltax

x = integral 0 to 3 of 5x^3 dx / mass = (405/4) / 45 = 9/4

4 0

3 years ago

What will be the value of

madreJ [45]

The expression as given doesn't make much sense. I think you're trying to describe an infinitely nested radical. We can express this recursively by

$\begin{cases}a_1=\sqrt{42}\\a_n=\sqrt{42+a_{n-1}}\end{cases}$

Then you want to know the value of

$\displaystyle\lim_{n\to\infty}a_n$

if it exists.

To show the limit exists and that $a_n$ converges to some limit, we can try showing that the sequence is bounded and monotonic.

Boundedness: It's true that $a_1=\sqrt{42}\le\sqrt{49}=7$ . Suppose $a_k\le 7$ . Then $a_{k+1}=\sqrt{42+a_k}\le\sqrt{42+7}=7$ . So by induction, $a_n$ is bounded above by 7 for all $n$ .

Monontonicity: We have $a_1=\sqrt{42}$ and $a_2=\sqrt{42+\sqrt{42}}$ . It should be quite clear that $a_2>a_1$ . Suppose $a_k>a_{k-1}$ . Then $a_{k+1}=\sqrt{42+a_k}>\sqrt{42+a_{k-1}}=a_k$ . So by induction, $a_n$ is monotonically increasing.