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Evgesh-ka [11]
3 years ago
7

Consider the random permutations of [1..6]. Let A be the event that the number in the first position of such a random permutatio

n is 6, and let B be the event that the number in the last position of such a random permutation is 1. Calculate Pr[A | B].
Mathematics
1 answer:
REY [17]3 years ago
7 0

Answer:

Pr[A | B] = 0.2

Step-by-step explanation:

If we have a permutation of {1,2,3,4,5,6} that ends in 1, then we will have only 5 possibilities for the first spot, 2,3,4,5 and 6. All of them equally probable. Thus, the probability that in the first position of a random permutation there is a 6, giving that in the last position there is a 1 is 1/5 = 0.2

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Is a 78 degree angle a right,straight,obtuse or acute angle
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Question 3 of 10
Sphinxa [80]

Answer:

So, only B and D are trinomials.

Step-by-step explanation:

A trinomial is an algebraic expression having three terms in it.

A. 8x  

Not a trinomial because, it contains only one term.

B. 3y +5y2 + y

A trinomial because, it contains three terms.

C. 6x2

Not a trinomial because, it contains only one term.

D. x4 + x2 +1

A trinomial because, it contains three terms.

E. x2 +3

Not a trinomial because, it contains two terms only.

F. x11

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So, only B and D are trinomials.

5 0
3 years ago
1.(09.05
julia-pushkina [17]

Answer:

About 68% (is that an answer choice?)

Step-by-step explanation:

In a normal distribution (a bell curve), about 68 percent of the data is in the range between one standard deviation below the mean to one standard deviation above.  If your mean is 27, and the standard deviation is 3, then one deviation below to one above would be 27 - 3  to 27 + 3, or 24 - 30.

4 0
3 years ago
Three airports have a total of
eimsori [14]

Answer:

  1. 76.7 million
  2. 89.1 million
  3. 75 million

Step-by-step explanation:

Let x represent the arrivals and departures at the third airport. Then the number at the first airport is x+1.7, and the number at the second airport is x+14.1. The total is ...

  (x+1.7) + (x+14.1) + (x) = 240.8

  3x +15.8 = 240.8

  3x = 225

  x = 75

  x+1.7 = 76.7

  x+14.1 = 89.1

The first airport has 76.7 million arrivals.

The second airport has 89.1 million arrivals.

The third airport has 75 million arrivals.

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3 years ago
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