All categories

2 years ago

How long is a raisin?

Mathematics

1 answer:

adoni [48]2 years ago

8 0

Answer:

Depends

Step-by-step explanation:

This question is a very advanced question, but this depends on the grape that the raisin was previously.

You might be interested in

Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s

notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used to solve this question.

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 combinations 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.

No-show rate of 10%.

This means that $p = 0.1$

Four travelers who have made hotel reservations in this study.

This means that $n = 4$

a) What is the probability that at least two of the four selected will turn to be no-shows?

This is $P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)$

In which

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

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523$

0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) What is the most likely value for X?

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

$P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561$

$P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916$

$P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486$

$P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036$

$P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001$

X = 0 has the highest probability, which means that 0 is the most likely value for X.

7 0

3 years ago

Divide. Reduce the answer to lowest terms. 3/4 ÷ 1/3

Slav-nsk [51]

Answer:

9/4

Step-by-step explanation:

When you divide by a number, whole number or fraction, it's exactly like multiplying by its inverse.

Like if you divide 4 by 2, you can easily express that has 4 * 1/2.

In the same manner, when you divide 3/4 by 1/3, you can say that you're multiplying 3/4 by 3/1

The result of 3/4 * 3/1 = 9 / 4

Which you cannot simplify because 9 and 4 don't have any common factors (other than 1). The only other way to express it would be 3²/2² or (3/2)²

6 0

3 years ago

Two times p plus five is greater than or equal to three times p minus ten

hjlf

Answer:

2p + 5 ≥ 3p - 10

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Dianne measured the thickness of 1000 sheets of paper as 264mm. How thick is the sheet? Please hurry anyone!!!!!

Karo-lina-s [1.5K]

Answer:

0.264 mm

Step-by-step explanation:

Number of sheets = 1000

Thickness of entire sheet = 264 mm

The thickness of the sheet is :

Thickness of entire sheet / number of sheets

264 mm / 1000

= 0.264 mm

6 0

3 years ago

Each of 8 ladies randomly chooses a woolen overcoat from 14 different styles. What is the probability that at least 2 ladies cho

Sophie [7]

Answer: 0.894

Step-by-step explanation:

5 0

3 years ago