MATHEMATICS COLLEGE

A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected. Find the probability that the sample contains exactly one defective item

Answers

Answer 1

Answer:

Answer:

$P(X=1)$

And using the probability mass function we got:

$P(X=1) = (5C1) (0.25)^1 (1-0.25)^(5-1)= 0.396$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

For this cae that one buggy whip would be defective is $p = (5)/(20)=0.25$

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=5, p=0.25)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^(n-x)$

Where (nCx) means combinatory and it's given by this formula:

$nCx=(n!)/((n-x)! x!)$

And we want to find this probability:

$P(X=1)$

And using the probability mass function we got:

$P(X=1) = (5C1) (0.25)^1 (1-0.25)^(5-1)= 0.396$

Related Questions

In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For? example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is? 3, the odds of winning are 2:3(Note; if the odds of winning are 2/3, the propability of sucess is2/5)The odds of event occuring are 1:6. Find (a) the propability that the event will occur,(b) propability that the event will not occur.(a)The propability that event will occur is....(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED.)(b)The propability thet the event will not occur is...(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED)
S varies inversely as G. If S is 8 when G is 1.5, find S when G is 3. a) Write the variation. b) Find S when G is 3.
Help plz i need help
What is the value of the x-coordinate of point A?(a) sin(pi/5) (b) cos (pi/5) (c) sin (6pi/5) (d) cos (6pi/5) (e) sin (9pi/5)
Is the graph proportional, why or why not?

Dunno these answers

Answers

Answer:

c. 9i.

Step-by-step explanation:

$√(-81)$

= $√(-1 * 9 * 9)$

= $√(-1 * 9^2)$

= $9√(-1)$

The square root of -1 is the same thing as i.

= $9i$

So, your answer is C.

Hope this helps!

Answer:

its 9

Step-by-step explanation:

Suppose the results indicate that the null hypothesis should be rejected; thus, it is possible that a type I error has been committed. Given the type of error made in this situation, what could researchers do to reduce the risk of this error? Increase the sample size. Choose a 0.01 significance level instead of a 0.05 significance level.

Answers

Answer:

You need to Choose a 0.01 significance level , instead of 0.05 significance level.

Step-by-step explanation:

Consider the provided information.

It is given that type I error has been committed.

Type I error occur, if we rejected the null hypothesis even null hypothesis is true.

We reject the null hypothesis if p-value < α

Accept the null hypothesis if p-value ≥ α

According to given condition the value of α is 0.05 that means 95% chance that your assumption is correct and 5% chance that assumption is wrong.

In order to reduce the risk of this error you need to increase the significance level so that the value of α becomes lower than the p value.

lower α means you will be less likely to detect a true difference if one really exists.

Hence, you need to Choose a 0.01 significance level , instead of 0.05 significance level.

9x-3=87 what is the anwser

Answers

Answer:

x=10

Step-by-step explanation:

9x-3=87

you add 3 to both sides

9x-3(+3)=87(+3)

which equals

9x=90

90/9= 10

answer:

x =10

I hope this helped!

Answer:

x=10

Step-by-step explanation:

9x-3=87

add 3 to both sides

9x=90

divide by 9 on both sides

x=10

The world’s fastest flying insect is the dragonfly. It can fly 36 miles per hour. If a dragonfly flew in a straight path at this rate, what distance would it fly in 15 minutes? (1 hour = 60 minutes) *

Answers

The total number of distance the word fastest insect in 15 minutes would fly is 9 miles

How to determine the number distance it would fly

from the question, we have the following parameters that can be used in our computation:

Speed = 36 miles per hour

Time = 15 minutes = 1/4 hour

The distance it would fly is calculated as

Distance = Speed * Time

Substitute the known values in the above equation, so, we have the following representation

Distance = 36 miles per hour * 1/4 hour

Evaluate

Distance = 9 miles

Hence, the number of distance it would fly is 9 miles

Answers

Answer:

3.52

Step-by-step explanation:

Calculation to Find the mean for the random variable X

Using this formula

Mean(μ) =(n*p)

Where,

n=16

p=22% or 0.22

Let plug in the formula

Mean(μ)=16×0.22

Mean(μ)=3.52

Therefore the mean for the random variable X will be 3.52

A. A business is attempting to find the best small town in the United States in which to relocate. As part of the investigation, the elevations of all small towns in the United States are researched. Some towns are located high in the Rockies with elevations over 8,000 feet. There are even some towns located in the south central valley of California with elevations below sea level. These elevations can best be described as which level of datab. The unemployment rate is often used as an indicator of a community’s economic vitality. An unemployment rate is best described as what level of measurement?

Answers

Answer:

a. As given in the question, some towns are located high in the Rockies above the sea level and some are located in the south-central valley of the California below the sea level as well. The meaningful zero does not exists here and the variable of interest is continuous(quantitative). Hence, the elevations can be best described as an interval data.

b. The unemployment rate can not be negative. Therefore, the meaningful zero exist here. Hence, the unemployment rate can be best described as ratio data.

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