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3 years ago

In an upcoming race, the top 3 finishers will be recognized with the same award. Ryan is one of 12 people entered in the race.

Mathematics

2 answers:

BARSIC [14]3 years ago

5 0

Since top 3 racers recognized with the same award, answer is 3/12 or 1/4 or .25

Fiesta28 [93]3 years ago

5 0

Answer: The required probability is 25%.

Step-by-step explanation: Given that in an upcoming race, the top 3 finishers will be recognized with the same award and Ryan is one of 12 people entered in the race.

We are to find the probability that Ryan will be one of the top 3 racers, if all racers are equal in skills.

Let S denote the sample space of the experiment for selecting a racer and A denote the event of selecting the top 3 finishers.

Then, according to the given information, we have

n(S) = 12 and n(A) = 3.

So, the probability of event A is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{3}{12}=\dfrac{1}{4}\times100\%=25\%.$

Thus, the required probability is 25%.

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3 years ago

Evaluate the following expression (2.3)-3(1,1)

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3 years ago

Read 2 more answers

Let x be normal distribution with mean 70 and standard deviation 2. given the following probability, p (x < a) = 0.9147, find

lapo4ka [179]

The value of a is 72.74.

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It is given that

The mean $\rm \mu$ of the distribution is 70

Standard deviation $\rm \sigma$ is 2

p( x<a) = 0.9147

a = ?

From Z table

For p ( p < 0.9147) , z = 1.37

$\rm Z = \dfrac { X - \mu}{ \sigma}$

$\rm \rm 1.37 = \dfrac { a - 70}{ 2}$

a = 70+ 2*1.37

a = 72.74

Therefore the value of a is 72.74.

To know more about Probability

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2 years ago

Two studies were done on the same set of data, where study I was a one-sided test and study II was a two-sided test. The p-value

mixer [17]

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$0.060$

Step-by-step explanation:

In a two tailed test the probability of occurrence is the total area under the critical range of values on both the sides of the curve (negative side and positive side)

Thus, the probability values for a two tailed test as compared to a one tailed test is given by the under given relation -

$p-value = P(Z< -\frac{\alpha }{2} )+P(Z >\frac{\alpha}{2})$ \