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Ipatiy [6.2K]
3 years ago
11

3.11 A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the nu

mber of defective sets purchased by the hotel, find the probability distribution of X. Express the results graphically as a probability histogram.

Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

Answer:

Probability distribution for x:

P(x=0)=0.3644\\\\P(x=1)=0.4373\\\\P(x=2)=0.1749\\\\P(x=3)=0.0233\\\\

Step-by-step explanation:

We can model the number of defective sets in the group of TV sets (variable x) as a binomial variable, with sample size=3 and probability of success p=2/7≈0.2857.

The probability of k defective sets in the group is:

P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}

So, we have this probabilty distribution for x:

P(x=0) = \dbinom{3}{0} p^{0}q^{3}=1*1*0.3644=0.3644\\\\\\P(x=1) = \dbinom{3}{1} p^{1}q^{2}=3*0.2857*0.5102=0.4373\\\\\\P(x=2) = \dbinom{3}{2} p^{2}q^{1}=3*0.0816*0.7143=0.1749\\\\\\P(x=3) = \dbinom{3}{3} p^{3}q^{0}=1*0.0233*1=0.0233\\\\\\

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In relation t a functions? Is the inverse of relation t function
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Answer:

Relation t is a function. The inverse of relation t is not a function ⇒ 3rd

Step-by-step explanation:

* Lets explain how to solve the problem

- A relation is a set of inputs and outputs, and a function is a relation

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- Ex: T = {(1 , 2) , (3 , 5) , (-4 , 0)} is a function because every input has

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- To find the inverse of a function we switched the input and the

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∵ x = 0 has only y = -8

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∴ The inverse of relation t is not a function

* Relation t is a function. The inverse of relation t is not a function

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