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3 years ago

5

Determine whether the relation is a function

1 answer:

eimsori [14]3 years ago

7 0

Answer:

Step-by-step explanation:

16). The relation is a function.

17). The relation is a function.

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Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes. If 7 adult smartphone use

Morgarella [4.7K]

Answer:

$P(X \geq 3) = 1-P(X$

If we find the individual probabilities we gotL

$P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068$

$P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494$

$P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543$

And replacing we got:

$P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895$

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

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

$X \sim Binom(n=7, p=0.51)$

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:

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

For this case we want to find this probability:

$P(X \geq 3)$

And we can use the complement rule for this case:

$P(X \geq 3) = 1-P(X$

If we find the individual probabilities we gotL

$P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068$

$P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494$

$P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543$

And replacing we got:

$P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895$

7 0

3 years ago

How can you use the division of rational numbers to describe data?

hammer [34]

<span>to find the perimeter</span>

5 0

3 years ago

Which statement is true about the data?

vladimir1956 [14]

Answer:

B

Step-by-step explanation:

The diagram shows two box plots.

Liam's box plot shows the median = 10

the range = 20 - 4 = 16

Sumat's box plot shows the median = 14

the range = 22 - 3 = 19

Difference between medians is 14 - 10 = 4

between ranges is 19 - 16 = 3

Thus, correct option is option B

7 0

3 years ago

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Simplify the expression: <br>1 – 5b + – b + – 8b – 2b

Vanyuwa [196]

Answer:

The answer is 1 - 16b.

Step-by-step explanation:

You have to collect like-terms :

$1 - 5b - b - 8b - 2b$

$= 1 + b( - 5 - 1 - 8 - 2)$

$= 1 + b( - 16)$

$= 1 - 16b$

3 0

3 years ago

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Translate equation:

algol13

2x+6=3-x should be the correct answer

3 0

3 years ago

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