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3 years ago

11

What's five pencils for $15 written as a rate?

1 answer:

max2010maxim [7]3 years ago

6 0

5*15=75

]since 15 is the rate of the money used for one pencil

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Assume that X is a binomial random variable with n = 27 and p = 0.90. Calculate the following probabilities. (Do not round inter

Yuki888 [10]

Answer:

a) $P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

b) $P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

c) $P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

$P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

$P(X=27) = 27C27 (0.9)^{27} (1-0.9)^{27-27}= 0.0582$

And addind the values we got:

$P(X\geq 25)= P(X=25)+P(X=26)+P(X=27)=0.2520+0.1744+0.0582=0.4846$

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:

$X \sim Binom(n=27, p=0.9)$

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:

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

Part a

We want this probability:

$P(X=26)$

And we can use the probability mass function and we got:

$P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

Part b

We want this probability:

$P(X=25)$

And we can use the probability mass function and we got:

$P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

Part c

We want this probability:

$P(X\geq 25)= P(X=25)+P(X=26)+P(X=27)$

And we can use the probability mass function and we got:

$P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

$P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

$P(X=27) = 27C27 (0.9)^{27} (1-0.9)^{27-27}= 0.0582$

And addind the values we got:

$P(X\geq 25)= P(X=25)+P(X=26)+P(X=27)=0.2520+0.1744+0.0582=0.4846$

3 0

4 years ago

Which is the graph of f(x)=3√x

mote1985 [20]

Answer: The first graph

Step-by-step explanation:

It's the first one. I don't know how to explain, haha.

4 0

2 years ago

Find the missing angle.

saw5 [17]

Answer:

Pretty sure it's 21 degrees.

Step-by-step explanation:

Hope I helped!! :)

Sorry if it's wrong! :(

Pls mark brainlist!!!

8 0

3 years ago

Read 2 more answers

What is liner function

olga nikolaevna [1]

Answer:

Linear function is the function that produces a straight line as graph.

Linear function is a relationship in the form of:

Slope-intercept: y = mx + b

Point-slope form: y - y1 = m(x - x1)

Standard form: Ax + By = C

3 0

3 years ago

Read 2 more answers

3.1 , 3.4 , 3.25 , 3.33 from greatest to least

BlackZzzverrR [31]

Answer:

3.1 3.25 3.33 3.4

Step-by-step explanation:

4 0

4 years ago