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olga55 [171]
3 years ago
13

In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability

of success of a single trial of this experiment?
Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by P(Z>\frac{(25-27)}{3.29})

What is the probability of success of a single trial of this experiment?

Options:

  • 0.07
  • 0.56
  • 0.79
  • 0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

\mu =\frac{np}{\sigma}=\sqrt{np(1-p)}

now,

Z=\frac{X-\mu}{\sigma}

so,

by comparing with P(Z>\frac{(25-27)}{3.29}), we get:

μ=np=27

\sigma=\sqrt{np(1-p)} =3.29

put np=27

we get:

\sigma=\sqrt{27(1-p)} =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

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So if Cleo writes 31 facts, we can still use: c - 5 
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PLEASE HELP whats the hypotenuse of a right triangle if both its legs are 9 cm round to the nearest tenth of a cm
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4 years ago
Which regions have population ls with 7 as the power of 10
Kryger [21]

From the list, the only region that has a population with seven as the power of ten is Oceania.

<h3>What is the meaning of "the power of ten"?</h3>

In mathematics, large numbers are often expressed as the power of ten. For example 6500 can be expressed as 65 x 10^2 as the exponent (2) indicates the number of zeros.

<h3>What region has a population with seven as the power of ten?</h3>

From the options, the only region that has as a exponent the number seven is Oceania.

Note: This question is incomplete; here is the missing information:

  • In the introduction, we looked at the human populations of different geographic groups. There are about 1 x 10^9 people in Africa, 4.2 x 10^9 in Asia, 7.4 x 10^8 in Northern America, 3.7 x 10^7 in Oceania, and 6 x 10^8 in Latin America and the Caribbean.

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2 years ago
Shawn uses 45N of force to stop the cart 1 meter from running his foot over. How much work does he do?​
zalisa [80]

Answer:

\boxed {\boxed {\sf 45 \ Joules}}

Step-by-step explanation:

Work can be found by multiplying the force by the distance traveled in the direction of the force.

W=F*d

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The distance traveled is 1 meter.

F=45 \ N \\d= 1 \ m

Substitute the values into the formula.

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W=45 \ N*m

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Therefore our answer of 45 Newton meters is equal to 45 Joules.

W= 45 \ J

The work done is <u>45 Joules.</u>

5 0
3 years ago
Read 2 more answers
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