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Deffense [45]
3 years ago
14

The question.

Mathematics
1 answer:
Tanya [424]3 years ago
3 0
The solution to this problem can be found by taking 20% of $62.50:

0.2(62.5) = 12.5

The way the question is worded is confusing, but I think it's asking how much of a discount you would get.  You would receive a $12.50 discount.
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M- Determine whether or not the procedure described below results in a binomial distribution. If it is not​ binomial, identify a
Igoryamba

Answer:

A. Yes, the result is a binomial probability distribution.

Step-by-step explanation:

The experiment above depicts a binomial probability distribution because the 4 required conditions are met :

1.) The distribution is independent as the possible outcome of each trial is the same.

2.) There are two possible categories and the result of each trial is one of two outcomes : Yes or No

3.) The number of observation is fixed at sample size of 5500

4.) The probability of success and failure of each trial is the same for all trials in the sample.

Hence, we can conclude that the experiment depicts a binomial probability distribution.

7 0
3 years ago
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
Identify Like terms : 3y2, 2/3x, -3/4y2, 5x, 12x2
wel
3y^2 and -3/4y^2 
5x and 2/3x
12x^2
4 0
3 years ago
Prometheus bought 6/7 pound of beef liver. he is cutting it into 3/14 pound slices. how many slives will he cut from the origina
Lubov Fominskaja [6]

Answer:

4 slives

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
2. The price of a gallon of gas was $2.95 on Monday. On Wednesday, the price of a gallon of gas rose to $3.15. How much did the
wolverine [178]

Answer:

0.2

Step-by-step explanation:

2.95-3.15

6 0
2 years ago
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