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GenaCL600 [577]

2 years ago

9

A zoo kitchen's weekly grocery list shows the zoo orders 56pounds of each week . The zoo kitchen is the same number of pounds of

bananas each day

1 answer:

katrin2010 [14]2 years ago

6 0

I guess the answer is 56 it doesn't make sense

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A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb

Maksim231197 [3]

Answer:

a) $P(X = 1) = 0.38742$

b) $P(X = 3) = 0.05740$

c) $P(X = 9) = 0.00000$

d) $P(X \geq 5) = 0.00163$

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem

There are 10 containers, so $n = 10$ .

A food-packaging apparatus underfills 10% of the containers, so $p = 0.1$ .

a) This is P(X = 1)

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

b) This is P(X = 3)

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

c) This is P(X = 9)

$P(X = 9) = C_{10,9}.(0.1)^{9}.(0.9)^{1} = 0.00000$

d) This is $P(X \geq 5)$ .

Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:

$P(X < 5) + P(X \geq 5) = 1$

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

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

$P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.34868$

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

$P(X = 2) = C_{10,2}.(0.1)^{2}.(0.9)^{8} = 0.1937$

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

$P(X = 4) = C_{10,4}.(0.1)^{1}.(0.9)^{9} = 0.38742$

So

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.34868 + 0.38742 + 0.19371 + 0.05740 + 0.01116 = 0.99837$

Finally

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.99837 = 0.00163$

3 0

2 years ago

there are 10 marbles, 2 yellow, three pink, and 5 black What is the probability of drawing two blue marbles if the first one is

Schach [20]

Answer:

I think 15% im sorry if this is wrong

3 0

2 years ago

1500+1500 please answer

ehidna [41]

3000 is the freaking right answer

7 0

2 years ago

Read 2 more answers

Inputs are represented by the variable x .<br><br><br> True or False

NNADVOKAT [17]

Answer:

true

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Which of the following options have the same value as

Keith_Richards [23]

Question:

Which of the following options have the same value as 65% of 20?

Choose 2 answers:

(A) 0.65⋅20

(B) 65/100 divided by 20

(C) 65/20 * 100

(D) 65 * 20

Answer:

Option A has the same value as 65% of 20

Step-by-step explanation:

Let x be the value of 65% of 20

$x = 65\% of 20$

$x = \frac{65}{100} \times 20$

$x =0.65 \times 20$

$x =13$

Thus 65% of 20 is 13

Now ,

<u>Solving Option A</u>

=> $(0.65) \cdot (20)$

=> 13

<u>Solving Option B</u>

=> 65/100 divided by 20

=> $\frac{\frac{65}{100}}{20}$

=> $\frac{0.65}{20}$

=>0.0325

<u>Solving Option C</u>

=>65/20 * 100

=> $\frac{65}{20} \times 100$

=> $3.25 \times 100$

=>325

<u>Solving Option D</u>

=> 65 * 20

=> $65 \times 20$

=> 1300

8 0

2 years ago

Read 2 more answers