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marusya05 [52]
3 years ago
5

For a binomial probability distribution, it is unusual for the number of successes to be less than μ − 2.5σ or greater than μ +

2.5σ. (a) For a binomial experiment with 10 trials for which the probability of success on a single trial is 0.2, is it unusual to have more than five successes? Explain
Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Answer:

no of success deemed to be usual 5

that is more than 5 success unusual

Step-by-step explanation:

Given data

number of successes  = less than μ − 2.5σ

number of successes  = greater than μ + 2.5σ

trials n  = 10

probability single trial = 0.2

to find out

is it unusual to have more than five successes

solution

we can say that

mean of the binomial, distribution that is

mean =  probability single trial × trials n

mean =  10 × .2

mean = 2

and standard deviation = √(mean× (1-probability))

standard deviation = √2× (1-0.2))

standard deviation = 1.2649

so no of successes are

= μ − 2.5σ                 and           = μ + 2.5σ

= 2 − 2.5(1.2649)      and           = 2 + 2.5(1.2649)

= -0.16225                and           = 5.16225

so now we say no of success deemed to be usual 5

that is more than 5 success unusual here

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Elis [28]

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Vertically stretch to get y = 6(x+2)2

 

Reflect across x-axis to get y = -6(x+2)2

 

Shift 7 units down to get y = -6(x+2)2 - 7

hope this helps!

3 0
2 years ago
After 7 years, Amber earned $1575 in simple interest from a cd into which he initially deposited $6000. What was the annual inte
ankoles [38]
\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$1575\\
P=\textit{original amount deposited}\to& \$6000\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &7
\end{cases}
\\\\\\
1575=(6000)(r)(7)\implies \cfrac{1575}{(6000)(7)}=r\implies 0.0375=r
\\\\\\
r\%=0.0375\cdot 100\implies r=\stackrel{\%}{3.75}
4 0
3 years ago
Which table of values represents the equation y = 1/2x?​
gtnhenbr [62]

Answer:

The third option choice

Step-by-step explanation:

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Or multiplying it by . 5

So half of what your x is is what your y is

4 0
3 years ago
Consider the following proposed proof by contradiction that for all positive integers n, 3n > 2.
laila [671]

Answer:

The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.

Step-by-step explanation:

The proof is rigourous and well written, so we discard the second answer.

This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.

A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.

To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."

7 0
3 years ago
De que numero 92 es el 15% mas?
mezya [45]
105.8

EXPLANATION

15% de 92 es 13.8
92 + 13.8 = 105.8
5 0
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