Mathematics, 17.03.2020 04:21 pbrogers23

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

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Answer from: bluesea55988

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 $p = \frac{5}{20}=0.25$

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:

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

And we want to find this probability:

P(X=1)

And using the probability mass function we got:

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

Answer from: Quest

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )

Answer from: Quest

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

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A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items...

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